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One of the most salient features of heavy fermion superconductivity is its coexistence with various competing orders. Superconductivity often emerges near or at the border of these exotic orders and their interplay may give rise to many interesting quantum phenomena. In this paper, we give a brief review of the various heavy fermion superconductors discovered so far and show there may exist an intimate connection between their superconducting pairing and quantum critical spin/charge/orbital fluctuations. We classify these superconductors into three categories:(A) CeM2X2, CenMmIn3n+2m, CePt3Si, CeMX3, CeNiGe3, Ce2Ni3Ge5 and CePd5Al2, in which superconductivity emerges at the border of antiferromagnetic phase; YbRh2Si2, in which superconductivity was very recently found inside the antiferromagnetic phase at 2 mK; UX2Al3 and UPt3, in which superconductivity occurs inside the antiferromagnetic phase; and UBe13 and U6Fe, in which the connection between magnetism and superconductivity is not yet clear. Among them, CePt3Si and CeMX3 are noncentrosymmetric, while UPt3 exhibits spin triplet pairing inside an antiferromagnetic phase.(B) UGe2, URhGe, UCoGe, UIr and U2PtC2, are spin triplet superconductors under the influence of ferromagnetic order or fluctuations.(C) URu2Si2, PrOs4Sb12, PrT2X20, Pu-115, NpPd5Al2 and -YbAlB4, in which superconductivity may be related to other exotic quantum states or fluctuations such as hidden order, valence fluctuations and quadrupolar fluctuations.In these compounds, f-electrons may participate in both superconductivity and other competing orders and often behave simultaneously itinerant and localized. These could be described by a phenomenological two-fluid theory, in which two coexisting fluidsan itinerant heavy electron fluid (the Kondo liquid) and a spin liquid of unhybridized local f-momentscompete to give rise to the various low temperature orders as well as superconductivity. Combining the two-fluid picture and the idea of spin-fluctuation-induced superconducting pairing, a BCS-like formula is proposed for calculating the superconducting transition temperature, and the results are found to be in good agreement with the experimental data for Ce-115. This model can explain naturally the microscopic coexistence of superconductivity and antiferromagnetism in these materials, and provides a promising guidance to other heavy fermion superconductors to achieve a systematic examination of the interplay between superconductivity and other exotic orders.
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Keywords:
- heavy-fermion superconductivity /
- competing order /
- quantum critical fluctuation /
- two-fluid model
[1] Pfleiderer C 2009 Rev. Mod. Phys. 81 1551
[2] White B D, Thompson J D, Maple M B 2015 Physica C 514 246
[3] Lu X 2013 Physics 42 378 (in Chinese) [路欣 2013 物理 42 378]
[4] Matthias B T, Suhl H, Corenzwit E 1958 Phys. Rev. Lett. 1 92
[5] Anderson P W 1959 J. Phys. Chem. Solids 11 26
[6] Abrikosov A A, Gor'kov L P 1961 Sov. Phys. JETP 12 1243
[7] Maple M B 1968 Phys. Lett. A 26 513
[8] Maple M B, Fertig W A, Mota A C, de Long L E, Wohlleben D, Titzgerald R 1972 Solid State Commun. 11 829
[9] Kondo J 1964 Prog. Theor. Phys. 32 37
[10] Zhang G M, Yu L 2007 Physics 36 434 (in Chinese) [张广铭, 于渌 2007 物理 36 434]
[11] Maple M B 2005 J. Phys. Soc. Jpn. 74 222
[12] Andres K, Graebner J E, Ott H R 1975 Phys. Rev. Lett. 35 1779
[13] Steglich F, Aarts J, Bredl C D, Lieke W, Meschede D, Franz W, Schfer H 1979 Phys. Rev. Lett. 43 1892
[14] Bardeen J, Cooper L N, Schrieffer J R 1957 Phys. Rev. 108 1175
[15] Ott H R, Rudigier H, Fisk Z, Smith J L 1983 Phys. Rev. Lett. 50 1595
[16] Stewart G R, Fisk Z, Willis J O, Smith J L 1984 Phys. Rev. Lett. 52 679
[17] Palstra T T M, Menovsky A A, van den Berg J, Dirkmaat A J, Kes P H, Nieuwenhuys G J, Mydosh J A 1985 Phys. Rev. Lett. 55 2727
[18] Bucher E, Maita J P, Hull G W, Fulton R C, Cooper A S 1975 Phys. Rev. B 11 440
[19] Franz W, Grieel A, Steglich F, Vohlleben D 1978 Z. Physik B 31 7
[20] Trovarelli O, Weiden M, Mller-Reisener R, Gmez-Berisso M, Gegenwart P, Deppe M, Geibel C, Sereni J G, Steglich F 1997 Phys. Rev. B 56 678
[21] Bruls G, Wolf B, Finsterbusch D, Thalmeier P, Kouroudis I, Sun W, Assmus W, Lthi B 1994 Phys. Rev. Lett. 72 1754
[22] Steglich F 2005 J. Phys. Soc. Jpn. 74 167
[23] Jaccard D, Behnia, Sierro J 1992 Phys. Lett. A 163 475
[24] Grosche F M, Julian S R, Mathur N D, Lonzarich G G 1996 Physica B 223-224 50
[25] Mathur N D, Grosche F M, Julian S R, Walker I R, Freye D M, Haselwimmer R K W, Lonzarich G G 1998 Nature 394 39
[26] Movshovich R, Graf T, Mandrus D, Thompson J D, Smith J L, Fisk Z 1996 Phys. Rev. B 53 8241
[27] Ren Z, Pourovskii L V, Giriat G, Lapertot G, Georges A, Jaccard D 2014 Phys. Rev. X 4 031055
[28] Grosche F M, Lister S J S, Carter F V, Saxena S S, Haselwimmer R K W, Mathur N D, Julian S R, Lonzarich G G 1997 Physica B 239 62
[29] Kawasaki S, Yashima M, Kitaoka Y, Takeda K, Shimizu K, Oishi Y, Takata M, Kobayashi T C, Harima H, Araki S, Shishido H, Settai R, ōnuki Y 2008 Phys. Rev. B 77 064508
[30] Kohori Y, Yamato Y, Iwamoto Y, Kohara T, Bauer E D, Maple M B, Sarrao J L 2001 Phys. Rev. B 64 134526
[31] Zheng G Q, Tanabe K, Mito T, Kawasaki S, Kitaoka Y, Aoki D, Haga Y, Onuki Y 2001 Phys. Rev. Lett. 86 4664
[32] Pagliuso P G, Petrovic C, Movshovich R, Hall D, Hundley M F, Sarrao J L, Thompson J D, Fisk Z 2001 Phys. Rev. B 64 100503
[33] Urbano R R, Young B L, Curro N J, Thompson J D, Pham L D, Fisk Z 2007 Phys. Rev. Lett. 99 146402
[34] Nair S, Stockert O, Witte U, Nicklas M, Schedler R, Kiefer K, Thompson J D, Bianchi A D, Fisk Z, Wirth S, Steglich F 2010 Proc. Nal. Acad. Sci. USA 107 9537
[35] Park T, Ronning F, Yuan H Q, Salamon M B, Movshovich R, Sarrao J L, Thompson J D 2006 Nature 440 65
[36] Sidorov V A, Lu X, Park T, Lee H, Tobash P H, Baumbach R E, Ronning F, Bauer E D, Thompson J D 2013 Phys. Rev. B 88 020503
[37] Nicklas M, Sidorov V A, Borges H A, Pagliuso P G, Petrovic C, Fisk Z, Sarrao J L, Thompson J D 2003 Phys. Rev. B 67 020506
[38] Fukazawa H, Nagashima R, Shimatani S, Kohori Y 2012 Phys. Rev. B 86 094508
[39] Uhlřov K, Prokleka J, Sechovsky V 2010 Phys. Rev. Lett. 104 059701
[40] Chen G F, Ohara S, Hedo M, Uwatoko Y. Satio K, Sorai M, Sakamoto I 2002 J. Phys. Soc. Jpn. 71 2836
[41] Yamashita a T, Ohara S, Aoki Y, Miyazaki R, Sakamoto I 2010 Physica C 470 S556
[42] Kratochvlov M, Prokle J, Uhllov K, Duek M, Sechovsk, Custers J 2014 arXiv: 1403.7010 [cond-mat.str-el]
[43] Amato A, Bauer E, Baines C 2005 Phys. Rev. B 71 092501
[44] Tateiwa N, Haga Y, Matsuda T D, Ikeda S, Yamamoto E, Okuda Y, Miyauchi Y, Settai R, ōnuki Y 2007 J. Phys. Soc. Jpn. 76 083706
[45] Kimura N, Ito K, Saitoh K, Umeda Y, Aoki H, Terashima T 2005 Phys. Rev. Lett. 95 247004
[46] Settai R, Sugitani I, Okuda Y, Thamizhavel A, Nakashima M, ōnuki Y, Harima H 2007 J. Magn. Magn. Mater. 310 844
[47] Nakashima M, Tabata K, Thamizhavel A, Kobayashi T C, Hedo M, Uwatoko Y, Shimizu K, Settai R, ōnuki Y 2004 J. Phys.: Condens. Matter 16 L255
[48] Nakashima M, Kohara H, Thamizhavel A, Matsuda T D, Haga Y, Hedo M, Uwatoko Y, Settai R, ōnuki Y 2006 Physica B 378-380 402
[49] Honda F, Measson M A, Nakano Y, Yoshitani N, Yamamoto E, Haga Y, Takeuchi T, Yamagami H, Shimizu K, Settai R, ōnuki Y 2008 J. Phys. Soc. Jpn. 77 043701
[50] Schuberth E, Tippmann, Steinke L, Lausberg S, Steppke A, Brando M, Krellner C, Geibel C, Yu R, Si Q, Steglich F (unpublished)
[51] Geibel C, Schank C, Thies S, Kitazawa H, Bredl C D, Bohm A, Rau M, Grauel A, Caspary R, Helfrich R, Ahlheim U, Weber G, Steglich F 1991 Z. Phys. B 84 1
[52] Geibel C, Thies S, Kaczorowski D, Mehner A, Mehner A, Grauel A, Seidel B, Ahlheiim U, Helfrich R, Petersen K, Bredl C D, Steglich F 1991 Z. Phys. B 83 305
[53] Heffner R H, Smith J L, Willis J O, Birrer P, Baines C, Gygax F N, Hitti B, Lippelt E, Ott H R, Schenck A, Knetsch E A, Mydosh J A, MacLaughlin D E 1990 Phys. Rev. Lett. 65 2816
[54] Aeppli G, Bucher E, Broholm C, Kjems J K, Baumann J, Hufnagl J 1988 Phys. Rev. Lett. 60 615
[55] Hayden S M, Taillefer L, Vettier C, Flouquet J 1992 Phys. Rev. B 46 8675
[56] Saxena S S, Agarwal P, Ahilan K, Grosche F M, Haselwimmer R K W, Steiner M J, Pugh E, Walker I R, Julian S R, Monthoux P, Lonzarich G G, Huxley A, Sheikin I, Braithwaite D, Flouquet J 2000 Nature 406 587
[57] Aoki D, Huxley A, Ressouche E, Braithwaite D, Flouguet J, Brison J P, Lhotel E, Paulsen C 2001 Nature 413 613
[58] Huy N T, Gasparini A, de Nijs D E, Huang Y, Klaasse J C P, Gortenmulder T, de Visser A, Hamann A, Grlach T, Lhneysen H v 2007 Phys. Rev. Lett. 99 067006
[59] Ohta T, Hattori T, Ishida K, Nakai Y, Osaki E, Deguchi K, Sato N K, Satoh I 2010 J. Phys. Soc. Jpn. 79 023707
[60] Akazawa T, Hidaka H, Fujiwara T, Kobayashi T C, Yamamoto E, Haga Y, Settai R, ōnuki Y 2004 J. Phys.: Condens. Matter 16 L29
[61] Mounce A M, Yasuoka H, Koutroulakis G, Ni N, Bauer E D, Ronning F, Thompson J D 2015 Phys. Rev. Lett. 114 127001
[62] Broholm C, Kjems J K, Buyers W J L, Matthews P, Palstra T T M, Menovsky A A, Mydosh J A 1987 Phys. Rev. Lett. 58 1467
[63] Isaacs E D, McWhan D B, Kleiman R N, Bishop D J, Ice G E, Zschack P, Gaulin B D, Mason T E, Garrett J D, Buyers W J L 1990 Phys. Rev. Lett. 65 3185
[64] Bauer E D, Frederick N A, Ho P C, Zapf V S, Maple M B 2002 Phys. Rev. B 65 100506
[65] Aoki Y, Tayama T, Sakakibara T, Kuwahara K, Iwasa K, Kohgi M, Higemoto W, MacLaughlin D E, Sugawara H, Sato H 2007 J. Phys. Soc. Jpn. 76 051006
[66] Sakai A, Nakatsuji S 2011 J. Phys. Soc. Jpn. 80 063701
[67] Sakai A, Kuga K, Nakatsuji S 2012 J. Phys. Soc. Jpn. 81 083702
[68] Tsujimoto M, Matsumoto Y, Tomita T, Sakai A, Nakatsuji S 2014 Phys. Rev. Lett. 113 267001
[69] Koutroulakis G, Yasuoka H, Chudo H, Tobash P H, Mitchell J N, Bauer E D, Thompson J D 2014 New J. Phys. 16 063019
[70] Bauer E D, Thompson J D 2015 Ann. Rev. Condens. Matter Phys. 6 137
[71] Sarrao J L, Morales J A, Thompson J D, Scott B L, Stewart G R, Wastin F, Rebizant J, Boulet P, Colineau E, Lander G H 2002 Nature 420 297
[72] Hiess A, Stunault, Colineau E, Rebizant J, Wastin F, Caciuffo R, Lander G H 2008 Phys. Rev. Lett. 100 076403
[73] Ramshaw B J, Shekhter A, McDonald R D, Betts J B, Mitchell J N, Tobash P H, Mielke C H, Bauer E D, Migliori A 2015 Proc. Nal. Acad. USA 112 3285
[74] Aoki D, Haga Y, Matsuda D, Tateiwa N, Ikeda S, Homma Y, Sakai H, Shiokawa Y, Yamamoto E, Nakamura A, Settai R, Onuki Y 2007 J. Phys. Soc. Jpn. 76 063701
[75] Nakatsuji S, Kuga K, Machida Y, Tayama T, Sakakibara T, Karaki Y, Ishimoto H, Yonezawa S, Maeno Y, Pearson E, Lonzarich G G, Balicas L, Lee H, Fisk Z 2008 Nature Physics 4 603
[76] Matsumoto Y, Nakatsuji S, Kuga K, Karaki Y, Horie N, Shimura Y, Sakakibara T, Nevidomskyy A H, Coleman P 2011 Science 331 316
[77] Hill H H 1970 in Plutonium 1970 and Other Actinides AIME, edited by Miner W H (New York: The Metallurgical Society of the AIME)
[78] Yuan H Q, Grosche F M, Deppe M, Geibel C, Sparn G, Steglich F 2003 Science 302 2104
[79] Bauer E D, Lee H O, Sidorov V A, Kurita N, Gofryk K, Zhu J X, Ronning F, Movshovich R, Thompson J D, Park T 2010 Phys. Rev. B 81 180507
[80] Zhou B B, Misra S, da Solva Neto E H, Aynajian P, Baumbach R E, Thompson J D, Bauer E D, Yazdani A 2013 Nature Physics 9 474
[81] Allan M P, Massee F, Morr D K, Van Dyke J, Rost A W, Mackenzie A P, Petrovic C, Davis J C 2013 Nature Physics 9 468
[82] Hu T, Singh Y P, Shu L, Janoschek M, Dzero M, Maple M B, Almasan C C 2013 Proc. Nal. Acad. Sci. USA 110 7160
[83] Chen Y, Jiang W B, Guo C Y, Ronning F, Bauer E D, Park T, Yuan H Q, Fisk Z, Thompson J D, Lu X 2015 Phys. Rev. Lett. 114 146403
[84] Schemm E R, Gannon W J, Wishne C M, Halperin W P, Kapitulnik A 2014 Science 345 190
[85] Schemm E R, Baumbach R E, Tobash P H, Ronning F, Bauer E D, Kapitulnik 2015 Phys. Rev. B 91 140506
[86] Kittaka S, Aoki Y, Shimura Y, Sakakibara T, Seiro S, Geibel C, Steglich F, Ikeda H, Machida K 2014 Phys. Rev. Lett. 112 067002
[87] Shimizu Y, Kittaka S, Sakakibara T, Haga Y, Yamamoto E, Amitsuka H, Tsutsumi Y, Machida K 2015 Phys. Rev. Lett. 114 147002
[88] Fujiwara K, Hata1 Y, Kobayashi K, Miyoshi K, Takeuchi J, Shimaoka Y, Kotegawa H, Kobayashi T C, Geibel C, Steglich F 2008 J. Phys. Soc. Jpn. 77 123711
[89] Arndt J, Stockert O, Schmalzl K, Faulhaber E, Jeevan H S, Geibel C, Schmidt W, Loewenhaupt M, Steglich F 2011 Phys. Rev. Lett. 106 246401
[90] Ott H R, Rudigier H, Rice T M, Ueda K, Fisk Z, Smith J L 1984 Phys. Rev. Lett. 52 1915
[91] Einzel D, Hirschfeld P J, Gross F, Chandrasekhar B S, Andres K, Ott H R, Beuers J, Fisk Z, Smith J L 1986 Phys. Rev. Lett. 56 2513
[92] MacLaughlin D E, Tien C, Clark W G, Lan M D, Fisk Z, Smith J L, Ott H R 1984 Phys. Rev. Lett. 53 1833
[93] Golding B, Bishop D J, Batlogg B, Haemmerle W H, Fisk Z, Smith J L, Ott H R 1985 Phys. Rev. Lett. 55 2479
[94] Ikeda H, Suzuki M, Arita R 2015 Phys. Rev. Lett. 114 147003
[95] Yamaoka H, Ikeda Y, Jarrige I, Tsujii N, Zekko Y, Yamamoto Y, Mizuki J, Lin J F, Hiraoka N, Ishii H, Tsuei K D, Kobayashi T C, Honda F, Onuki Y 2014 Phys. Rev. Lett. 113 086403
[96] Pourovskii L V, Hansmann P, Ferrero M, Georges A 2014 Phys. Rev. Lett. 112 106407
[97] Rueff J P, Ablett J M, Striigari F, Deppe M, Haverkort M W, Tjeng L H, Severing A 2015 Phys. Rev. B 91 201108
[98] Bruls G, Wolf B, Finsterbusch D, Thalmeier P, Kouroudis I, Sun W, Assmus W, Lthi B 1994 Phys. Rev. Lett. 72 1754
[99] Stockert O, Faulhaber E, Zwicknagl G, Ster N, Jeevan H S, Deppe M, Borth R, Kchler, Loewenhaupt M, Geibel C, Steglich F 2004 Phys. Rev. Lett. 92 136401
[100] Monthoux P, Lonzarich G G 2001 Phys. Rev. B 63 054529
[101] Shishido H, Shibauchi T, Yasu K, Kato T, Kontani H, Terashima T, Matsuda Y 2010 Science 19 980
[102] Kawasaki S, Mito T, Kawasaki Y, Zheng G Q, Kitaoka Y, Aoki D, Haga Y, ōnuki Y 2003 Phys. Rev. Lett. 91 137001
[103] Sarrao J L, Thompson J D 2007 J. Phys. Soc. Jpn. 76 051013
[104] Shishido H, Settai R, Harima H, ōnuki Y 2005 J. Phys. Soc. Jpn. 74 1103
[105] Park T, Sidorov V A, Ronning F, Zhu J X, Tokiwa Y, Lee H, Bauer E D, Movshovich R, Sarrao J L, Thompson J D 2008 Nature 456 366
[106] Jiao L, Chen Y, Kohama Y, Graf D, Bauer E D, Singleton J, Zhu J X, Weng Z, Pang G, Shang T, Zhang J, Lee H, Park T, Jaime M, Thompson J D, Steglich F, Si Q, Yuan H Q 2015 Proc. Nal. Acad. Sci. USA 112 673
[107] Sakai H, Tokunaga Y, Kambe S, Ronning F, Bauer E D, Thompson J D 2014 Phys. Rev. Lett. 112 206401
[108] Petrovic C, Pagliuso P G, Hundley M F, Movshovich R, Sarrao J L, Thompson J D, Fisk Z, Monthoux P 2001 J. Phys.: Condens. Matter 13 L337
[109] Izawa K, Yamaguchi H, Matsuda Y, Shishido H, Settai R, Onuki Y 2001 Phys. Rev. Lett. 87 057002
[110] An K, Sakakibara T, Settai R, Onuki Y, Hiragi M, Ichioka M, Machida K 2010 Phys. Rev. Lett. 104 037002
[111] Stock C, Broholm C, Hudis J, Kang H J, Petrovic C 2008 Phys. Rev. Lett. 100 087001
[112] Park W K, Sarrao J L, Thompson J D, Greene L H 2008 Phys. Rev. Lett. 100 177001
[113] Van Dyke J, Massee F, Allan M P, Davis J C, Petrovic C, Morr D K 2014 Proc. Nal. Acad. Sci. USA 111 11663
[114] Sidorov V A, Nicklas M, Pagliuso P G, Sarrao J L, Bang Y, Balatsky A V, Thompson J D 2002 Phys. Rev. Lett. 89 157004
[115] Kenzelmann M, Strssle Th, Niedermayer C, Sigrist M, Padmanabhan B, Zolliker M, Bianchi A D, Movshovich R, Bauer E D, Sarrao J L, Thompson J D 2008 Science 321 1652
[116] Bianchi A, Movshovich R, Vekhter I, Pagliuso P G, Sarrao J L 2003 Phys. Rev. Lett. 91 257001
[117] Gerber S, Bartkowiak M, Gavilano J L, Ressouche E, Egetenmeyer N, Niedermayer C, Bianchi A D, Movshovich R, Bauer E D, Thompson J D, Kenzelmann M 2014 Nature Physics 10 126
[118] Singh Y P, Haney D J, Lum I K, White B D, Maple M B, Dzero M, Almasan C C 2015 J. Phys.: Conf. Ser. 592 012078
[119] Kim H, Tanatar M A, Flint R, Petrovic C, Hu R, White B D, Lum I K, Maple M B, Prozorov R 2015 Phys. Rev. Lett. 114 027003
[120] Petrovic C, Movshovich R, Jaime M, Pagliuso P G, Hundley M F, Sarrao J L, Fisk Z, Thompson J D 2001 Europhys. Lett. 53 354
[121] Willers T, Strigari F, Hu Z, Sessi V, Brookes N B, Bauer E D, Sarrao J L, Thompson J D, Tanaka A, Wirth S, Tjeng L H, Severing A 2015 Proc. Nal. Acad. Sci. USA 112 2384
[122] Yashima M, Tagami N, Taniguchi S, Unemori T, Uematsu K, Mukuda H, Kitaoka Y, ōta Y, Honda F, Settai R, ōnuki Y 2012 Phys. Rev. Lett. 109 117001
[123] Shang T, Baumbach R E, Gofryk K, Ronning F, Weng Z F, Zhang J L, Lu X, Bauer E D 2014 Phys. Rev. B 89 041101(R)
[124] Kaczorowski D, Gnida D, Pikul A P, Tran V H 2010 Solid State Comm. 150 411
[125] Tokiwa Y, Gegenwart P, Gnida D, Kaczorowski D 2011 Phys. Rev. B 84 140507
[126] Kimura N, Bonalde I 2012 in Non-Centrosymmetric Superconductors: Introduction and Overview, Lecture Notes in Physics 847, edited by Bauer E, Sigrist M (Berlin Heidelberg: Springer-Verlag) Chapter 2
[127] Tateiwa N, Haga Y, Matsuda T D, Ikeda S, Yasuda T, Takeuchi T, Settai R, ōnuki Y 2005 J. Phys. Soc. Jpn. 74 1903
[128] Stockert O, Steglich F 2011 Annu. Rev. Condens. Matter Phys. 2 79
[129] Steglich F 2014 Phil. Mag. 94 3259
[130] Bernhoeft N, Sato N, Roessli B, Aso N, Hiess A, Lander G H, Endoh Y, Komatsubara T 1998 Phys. Rev. Lett. 81 4244
[131] Watanabe T, Izawa K, Kasahara Y, Haga Y, Onuki Y, Thalmeier P, Maki K, Matsuda Y 2004 Phys. Rev. B 70 184502
[132] Jourdan M, Huth M, Adrian H 1999 Nature 398 47
[133] Matsuda K, Kohori Y, Kohara T 1997 Phys. Rev. B 55 15223
[134] Hiroi M, Sera M, Kobayashi N, Haga Y, Yamamoto E, ōnuki Y 1997 J. Phys. Soc. Jpn. 66 1595
[135] Ishida K, Ozaki D, Kamatsuka T, Tou H, Kyogaku M, Kitaoka Y, Tateiwa N, Sato N K, Aso N, Geibel C, Steglich F 2002 Phys. Rev. Lett. 89 037002
[136] Rueff J P, Raymond S, Yaresko A, Braithwaite D, Leininger P, Vank G, Huxley A, Rebizani J, Sato N 2007 Phys. Rev. B 76 085113
[137] Narlikar A V 2014 Superconductors (United Kingdom: Oxford University Press) p212
[138] Ott H R, Rudigier H, Fisk Z, Smith J L 1985 Phys. Rev. B 31 1651
[139] Joynt R, Taillefer L 2002 Rev. Mod. Phys. 74 235
[140] Fisher R A, Kim S, Woodfield B F, Phillips N E, Taillefer L, Hasselbach K, Flouquet J, Giorgi A L, Smith J L 1989 Phys. Rev. Lett. 62 1411
[141] Tou H, Kitaoka Y, Asayama K, Kimura N, ōnuki Y, Yamamoto E, Maezawa K 1996 Phys. Rev. Lett. 77 1374
[142] de Visser A, Graf M J, Estrela P, Amato A, Baines C, Andreica D, Gygax F N, Schenck A 2000 Phys. Rev. Lett. 85 3005
[143] Huxley A, Rodire P, Paul D M, van Dijk N, Cubitt R, Flouquet J 2000 Nature 406 160
[144] Hayden S M, Taillefer L, Vettier C, Flouquet J 2002 Phys. Rev. B 46 8675
[145] Gannon W J, Halperin W P, Rastovski C, Schlesinger K J, Hlevyack J, Eskildsen M R, Vorontsov A B, Gavilano J, Gasser U, Nagy G 2015 New J. Phys. 17 023041
[146] Lussier B, Ellman B, Taillefer L 1996 Phys. Rev. B 53 5145
[147] Ellman B, Taillefer L, Poirier M 1996 Phys. Rev. B 54 9043
[148] Huxley A, Rodire P, Paul D M K, Dijk N v, Cubitt R, Flouquet J 2000 Nature 406 160
[149] Strand J D, Bahr D J, Harlingen D J V, Davis J P, Gannon W J, Halperin W P 2010 Science 328 1368
[150] Tsutsumi Y, Machida K, Ohmi T, Ozake M 2012 J. Phys. Soc. Jpn. 81 074717
[151] Izawa K, Machida Y, Itoh A, So Y, Ota K, Haga Y, Yamamoto E, Kimura N, ōnuki Y, Tsutsumi Y, Machida K 2014 J. Phys. Soc. Jpn. 83 061013
[152] Strand J D, Harlingen D J V, Kycia J B, Halperin W P 2009 Phys. Rev. Lett. 103 197002
[153] Tsutsumi Y, Ishikawa M, Kawakami T, Mizushima T, Sato M, Ichioka M, Michida K 2013 J. Phys. Soc. Jpn. 82 113707
[154] Huxley A D 2015 Physica C 514 368
[155] Huxley A, Ressouche E, Grenier B, Aoki D, Flouquet J, Pfleiderer C 2003 J. Phys.: Condens. Matter 15 S1945
[156] Aoki D, Flouquet J 2014 J. Phys. Soc. Jpn. 83 061011
[157] Huy N T, de Nijs D E, Huang Y K, de Visser A 2008 Phys. Rev. Lett. 100 077002
[158] Stock C, Sokolov D A, Bourges P, Tobash P H, Gofryk K, Ronning F, Bauer E D, Rule K C, Huxley A D 2011 Phys. Rev. Lett. 107 187202
[159] Ihara Y, Hattori T, Oshida K, Nakai Y, Osaki E, Deguchi K, Sato N K, Satoh I 2010 Phys. Rev. Lett. 105 206403
[160] Hattori T, Ihara Y, Nakai Y, Ishida K, Tada Y, Fujimoto S, Kawakami N, Osaki E, Deguchi K, Sato N K, Satoh I 2012 Phys. Rev. Lett. 108 066403
[161] Kobayashi T C, Hori A, Fukushima S, Hidaka H, Kotegawa H, Akazawa T, Takeda K, Ohishi Y, Yamamoto E 2007 J. Phys. Soc. Jpn. 76 051007
[162] Meisner G P, Giorgi A L, Lawson A C, Stewart G R, Willis J O, Wire M S, Smith J L 1984 Phys. Rev. Lett. 53 1829
[163] Mydosh J A, Oppeneer P M 2014 Phil. Mag. 94 3642
[164] Kasahara Y, Shishido H, Shibauchi T, Haga Y, Matsuda T D, Onuki Y, Matsuda Y 2009 New. J. Phys. 11 055061
[165] Fisher R A, Kim S, Wu Y, Phillips N E, McElfresh M W, Torikachvili M S, Maple M B 1990 Physica B 163 419
[166] Matsuda K, Kohori Y, Kohara T 1996 J. Phys. Soc. Jpn. 65 679
[167] Yamashita T, Shimoyama Y, Haga Y, Matsuda T D, Yamamoto E, Onuki Y, Sumiyoshi H, Fujimoto S, Levchenko A, Shibauchi T, Matsuda Y 2014 Nature Physics 11 17
[168] Sarrao J L, Bauer E D, Mitchell J N, Tobash P H, Thompson J D 2015 Physica C 514 184
[169] Curro N J, Caldwell T, Bauer E D, Morales L A, Graf M J, Bang Y, Balatsky A V, Thompson J D, Sarrao J L 2005 Nature 434 622
[170] Matsumoto Y, Nakatsuji S, Kuga K, Karaki Y, Shimura Y, Sakakibara T, Nevidomskyy A H, Coleman P 2012 J. Phys.: Conf. Ser. 391 012041
[171] Okawa M, Matsunami M, Ishizaka K, Eguchi R, Taguchi M, Chainani A, Takata Y, Yabashi M, Tamasaku K, Nishino Y, Ishikawa T, Kuga K, Horie N, Nakatsuji S, Shin S 2010 Phys. Rev. Lett. 104 247201
[172] Volovik G E, Gorkov L P 1985 JETP 61 843
[173] Sigrist M, Ueda K 1991 Rev. Mod. Phys. 63 239
[174] Hirsch J E 1985 Phys. Rev. Lett. 54 1317
[175] Leggett A J 1975 Rev. Mod. Phys. 47 331
[176] Bal-Monod M T, Bourbonnais C, Emery V J 1986 Phys. Rev. B 34 7716
[177] Scalapino D J, Loh E, Hirsch J E 1986 Phys. Rev. B 34 8190
[178] Miyake K, Schmitt-Rink S, Varma C M 1986 Phys. Rev. B 34 6554
[179] [180] Bednorz J G, Mller K A 1986 Z. Phys. B 63 189
[181] Monthoux P, Balatsky A V, Pines D 1991 Phys. Rev. Lett. 67 3448
[182] Monthoux P, Lonzarich G G 1999 Phys. Rev. B 59 14598
[183] Monthoux P, Lonzarich G G 2002 Phys. Rev. B 66 224504
[184] Nishiyama S, Miyake K, Varma C M 2013 Phys. Rev. B 88 014510
[185] Hertz J A 1976 Phys. Rev. B 14 1165
[186] Millis A J 1993 Phys. Rev. B 48 7183
[187] Moriya T 1985 Spin Fluctuations in Itinerant Electron Magnetism, Springer Series in Solid State Physics (Berlin: Springer-Verlag)
[188] Si Q, Rabello S, Ingersent K, Smith J L 2001 Nature 413 804
[189] Si Q, Pixley J H, Nica E, Yamamoto S J, Goswami P, Yu R, Kirchner S 2014 J. Phys. Soc. Jpn. 83 061005
[190] Pixley J H, Cai A, Si Q M 2015 Phys. Rev. B 91 125127
[191] Jaccard D, Wilhelm H, Yadri K A, Vargoz E 1999 Physica B 259-261 1
[192] Onishi Y, Miyake K 2000 Physica B 281 191
[193] Onishi Y, Miyake K 2000 J. Phys. Soc. Jpn. 69 3955
[194] Holmes A T, Jaccard D, Miyake K 2004 Phys. Rev. B 69 024508
[195] Watanabe S, Imada M, Miyake K 2006 J. Phys. Soc. Jpn. 75 043710
[196] Miyake K, Watanabe S 2014 J. Phys. Soc. Jpn. 83 061006
[197] Seyfarth G, Retschi A S, Sengupta K, Georges A, Jaccard D, Watanabe S, Miyake K 2012 Phys. Rev. B 85 205105
[198] McHale P, Fulde P, Thalmeir 2004 Phys. Rev. B 70 014513
[199] Thalmeier P, Maki K, Yuan Q 2004 Physica C 408-410 177
[200] Thalmeier P 2006 Physica B 378-380 261
[201] Shu L, Higemoto W, Aoki Y, Hillier A D, Ohishi K, Ishida K, Kadono R, Koda A, Bernal O, MacLaughlin D E, Tunashima Y, Yonezawa Y, Sanada S, Kikuchi D, Sato H, Sugawara H, Ito T U, Maple M B 2011 Phys. Rev. B 83 100504
[202] Ho P C, MacLaughlin D E, Shu L, Bernal O O, Zhao S R, Dooraghi A A, Yanagisawa T, Maple M B, Fukuda R H 2014 Phys. Rev. B 89 235111
[203] Flint R, Dzero M, Coleman P 2008 Nature Physics 4 643
[204] Flint R, Coleman P 2010 Phys. Rev. Lett. 105 246404
[205] Flint R, Nevidomskyy A H, Coleman P 2011 Phys. Rev. B 84 064514
[206] Erten O, Flint R, Coleman P 2015 Phys. Rev. Lett. 114 027002
[207] Senthil T, Sachdev S, Vojta M 2003 Phys. Rev. Lett. 90 216403
[208] Senthil T, Fisher M P A 2000 Phys. Rev. B 62 7850
[209] Coleman P, Andrei N 1989 J. Phys. : Condens. Matter 1 4057
[210] Andrei N, Coleman P 1989 Phys. Rev. Lett. 62 595
[211] Liu Y, Li H, Zhang G M, Yu L 2012 Phys. Rev. B 86 024526
[212] Liu Y, Zhang G M, Yu L 2014 Chin. Phys. Lett. 31 087102
[213] Zwicknagl G, Pulst U 1993 Physica B 186-188 895
[214] Eremin I, Zwicknagl G, Thalmeier P, Fulde P 2008 Phys. Rev. Lett. 101 187001
[215] Ito T, Kumigashira H, Kim H D, Takahashi T, Kimura N, Haga Y, Yamamoto E, Ōnuki Y, Harima H 1999 Phys. Rev. B 59 8923
[216] Sugawara H, Osaki S, Saha S R, Aoki Y, Sato H, Inada Y, Shishido H, Settai R, Ōnuki Y, Harima H, Oikawa K 2002 Phys. Rev. B 66 220504
[217] Xavier J C 2003 Phys. Rev. B 68 134422
[218] Xavier J C, Dagotto E 2008 Phys. Rev. Lett. 100 146403
[219] Asadzadeh M Z, Becca F, Fabrizio M 2013 Phys. Rev. B 87 205144
[220] Asadzadeh M Z, Fabrizio M, Becca F 2014 Phys. Rev. B 90 205113
[221] Bodensiek O, Zitko R, Vojta M, Jarrell M, Pruschke T 2013 Phys. Rev. Lett. 110 146406
[222] Wu W, Tremblay A M S 2015 Phys. Rev. X 5 011019
[223] Yang Y F, Fisk Z, Lee H O, Thompson J D, Pines D 2008 Nature 454 611
[224] Yang Y F, Pines D 2008 Phys. Rev. Lett. 100 096404
[225] Yang Y F, Pines D 2012 Proc. Nal. Acad. Sci. USA 109 E3060
[226] Yang Y F 2009 Phys. Rev. Lett. 103 197004
[227] Yang Y F, Pines D, Curro N J 2014 arXiv: 1410.0452[cond-mat.supr-con]
[228] Yang Y F, Pines D 2014 Proc. Nal. Acad. Sci. USA 111 18178
[229] Nakatsuji S, Pines D, Fisk Z 2004 Phys. Rev. Lett. 92 016401
[230] Curro N J, Young B L, Schmalian J, Pines D 2004 Phys. Rev. B 70 235117
[231] Yang Y F 2013 Phys. Rew. B 87 045102
[232] Yang Y F, Pines D 2014 Proc. Nal. Acad. Sci. USA 111 8398
[233] Barzykin V, Pines D 2009 Adv. Phys. 58 1
[234] Yang Y F 2014 Physics 43 80
[235] Millis A J, Monien H, Pines D 1990 Phys. Rev. B 42 167
[236] Shirer K R, Shickley A C, Dioguardi A P, Crocker J, Lin C H, apRoberts-Warren N, Nisson D M, Klavins P, Cooley J C, Yang Y F, Curro N J 2012 Proc. Nal. Acad. Sci. USA 109 E3067
[237] Thompson J D 2014 JPS Conf. Proc. 3 010001
[238] Fujimori S, Kawasaki I, Yasui A, Takeda Y, Okane T, Saitoh Y, Fujimori A, Yamagami H, Haga Y, Yamamoto E, Ōnuki Y 2014 JPS Sonf. Proc. 3 011072
[239] Jiang R, Mou D X, Liu C, Zhao X, Yao Y X, Ryu H, Petrovic C, Ho K M, Kaminski A 2015 Phys. Rev. B 91 165101
[240] Sarrao J L, Ronning F, Bauer E D, Batista C D, Zhu J X, Thompson J D 2015 APL Mater. 3 041512
-
[1] Pfleiderer C 2009 Rev. Mod. Phys. 81 1551
[2] White B D, Thompson J D, Maple M B 2015 Physica C 514 246
[3] Lu X 2013 Physics 42 378 (in Chinese) [路欣 2013 物理 42 378]
[4] Matthias B T, Suhl H, Corenzwit E 1958 Phys. Rev. Lett. 1 92
[5] Anderson P W 1959 J. Phys. Chem. Solids 11 26
[6] Abrikosov A A, Gor'kov L P 1961 Sov. Phys. JETP 12 1243
[7] Maple M B 1968 Phys. Lett. A 26 513
[8] Maple M B, Fertig W A, Mota A C, de Long L E, Wohlleben D, Titzgerald R 1972 Solid State Commun. 11 829
[9] Kondo J 1964 Prog. Theor. Phys. 32 37
[10] Zhang G M, Yu L 2007 Physics 36 434 (in Chinese) [张广铭, 于渌 2007 物理 36 434]
[11] Maple M B 2005 J. Phys. Soc. Jpn. 74 222
[12] Andres K, Graebner J E, Ott H R 1975 Phys. Rev. Lett. 35 1779
[13] Steglich F, Aarts J, Bredl C D, Lieke W, Meschede D, Franz W, Schfer H 1979 Phys. Rev. Lett. 43 1892
[14] Bardeen J, Cooper L N, Schrieffer J R 1957 Phys. Rev. 108 1175
[15] Ott H R, Rudigier H, Fisk Z, Smith J L 1983 Phys. Rev. Lett. 50 1595
[16] Stewart G R, Fisk Z, Willis J O, Smith J L 1984 Phys. Rev. Lett. 52 679
[17] Palstra T T M, Menovsky A A, van den Berg J, Dirkmaat A J, Kes P H, Nieuwenhuys G J, Mydosh J A 1985 Phys. Rev. Lett. 55 2727
[18] Bucher E, Maita J P, Hull G W, Fulton R C, Cooper A S 1975 Phys. Rev. B 11 440
[19] Franz W, Grieel A, Steglich F, Vohlleben D 1978 Z. Physik B 31 7
[20] Trovarelli O, Weiden M, Mller-Reisener R, Gmez-Berisso M, Gegenwart P, Deppe M, Geibel C, Sereni J G, Steglich F 1997 Phys. Rev. B 56 678
[21] Bruls G, Wolf B, Finsterbusch D, Thalmeier P, Kouroudis I, Sun W, Assmus W, Lthi B 1994 Phys. Rev. Lett. 72 1754
[22] Steglich F 2005 J. Phys. Soc. Jpn. 74 167
[23] Jaccard D, Behnia, Sierro J 1992 Phys. Lett. A 163 475
[24] Grosche F M, Julian S R, Mathur N D, Lonzarich G G 1996 Physica B 223-224 50
[25] Mathur N D, Grosche F M, Julian S R, Walker I R, Freye D M, Haselwimmer R K W, Lonzarich G G 1998 Nature 394 39
[26] Movshovich R, Graf T, Mandrus D, Thompson J D, Smith J L, Fisk Z 1996 Phys. Rev. B 53 8241
[27] Ren Z, Pourovskii L V, Giriat G, Lapertot G, Georges A, Jaccard D 2014 Phys. Rev. X 4 031055
[28] Grosche F M, Lister S J S, Carter F V, Saxena S S, Haselwimmer R K W, Mathur N D, Julian S R, Lonzarich G G 1997 Physica B 239 62
[29] Kawasaki S, Yashima M, Kitaoka Y, Takeda K, Shimizu K, Oishi Y, Takata M, Kobayashi T C, Harima H, Araki S, Shishido H, Settai R, ōnuki Y 2008 Phys. Rev. B 77 064508
[30] Kohori Y, Yamato Y, Iwamoto Y, Kohara T, Bauer E D, Maple M B, Sarrao J L 2001 Phys. Rev. B 64 134526
[31] Zheng G Q, Tanabe K, Mito T, Kawasaki S, Kitaoka Y, Aoki D, Haga Y, Onuki Y 2001 Phys. Rev. Lett. 86 4664
[32] Pagliuso P G, Petrovic C, Movshovich R, Hall D, Hundley M F, Sarrao J L, Thompson J D, Fisk Z 2001 Phys. Rev. B 64 100503
[33] Urbano R R, Young B L, Curro N J, Thompson J D, Pham L D, Fisk Z 2007 Phys. Rev. Lett. 99 146402
[34] Nair S, Stockert O, Witte U, Nicklas M, Schedler R, Kiefer K, Thompson J D, Bianchi A D, Fisk Z, Wirth S, Steglich F 2010 Proc. Nal. Acad. Sci. USA 107 9537
[35] Park T, Ronning F, Yuan H Q, Salamon M B, Movshovich R, Sarrao J L, Thompson J D 2006 Nature 440 65
[36] Sidorov V A, Lu X, Park T, Lee H, Tobash P H, Baumbach R E, Ronning F, Bauer E D, Thompson J D 2013 Phys. Rev. B 88 020503
[37] Nicklas M, Sidorov V A, Borges H A, Pagliuso P G, Petrovic C, Fisk Z, Sarrao J L, Thompson J D 2003 Phys. Rev. B 67 020506
[38] Fukazawa H, Nagashima R, Shimatani S, Kohori Y 2012 Phys. Rev. B 86 094508
[39] Uhlřov K, Prokleka J, Sechovsky V 2010 Phys. Rev. Lett. 104 059701
[40] Chen G F, Ohara S, Hedo M, Uwatoko Y. Satio K, Sorai M, Sakamoto I 2002 J. Phys. Soc. Jpn. 71 2836
[41] Yamashita a T, Ohara S, Aoki Y, Miyazaki R, Sakamoto I 2010 Physica C 470 S556
[42] Kratochvlov M, Prokle J, Uhllov K, Duek M, Sechovsk, Custers J 2014 arXiv: 1403.7010 [cond-mat.str-el]
[43] Amato A, Bauer E, Baines C 2005 Phys. Rev. B 71 092501
[44] Tateiwa N, Haga Y, Matsuda T D, Ikeda S, Yamamoto E, Okuda Y, Miyauchi Y, Settai R, ōnuki Y 2007 J. Phys. Soc. Jpn. 76 083706
[45] Kimura N, Ito K, Saitoh K, Umeda Y, Aoki H, Terashima T 2005 Phys. Rev. Lett. 95 247004
[46] Settai R, Sugitani I, Okuda Y, Thamizhavel A, Nakashima M, ōnuki Y, Harima H 2007 J. Magn. Magn. Mater. 310 844
[47] Nakashima M, Tabata K, Thamizhavel A, Kobayashi T C, Hedo M, Uwatoko Y, Shimizu K, Settai R, ōnuki Y 2004 J. Phys.: Condens. Matter 16 L255
[48] Nakashima M, Kohara H, Thamizhavel A, Matsuda T D, Haga Y, Hedo M, Uwatoko Y, Settai R, ōnuki Y 2006 Physica B 378-380 402
[49] Honda F, Measson M A, Nakano Y, Yoshitani N, Yamamoto E, Haga Y, Takeuchi T, Yamagami H, Shimizu K, Settai R, ōnuki Y 2008 J. Phys. Soc. Jpn. 77 043701
[50] Schuberth E, Tippmann, Steinke L, Lausberg S, Steppke A, Brando M, Krellner C, Geibel C, Yu R, Si Q, Steglich F (unpublished)
[51] Geibel C, Schank C, Thies S, Kitazawa H, Bredl C D, Bohm A, Rau M, Grauel A, Caspary R, Helfrich R, Ahlheim U, Weber G, Steglich F 1991 Z. Phys. B 84 1
[52] Geibel C, Thies S, Kaczorowski D, Mehner A, Mehner A, Grauel A, Seidel B, Ahlheiim U, Helfrich R, Petersen K, Bredl C D, Steglich F 1991 Z. Phys. B 83 305
[53] Heffner R H, Smith J L, Willis J O, Birrer P, Baines C, Gygax F N, Hitti B, Lippelt E, Ott H R, Schenck A, Knetsch E A, Mydosh J A, MacLaughlin D E 1990 Phys. Rev. Lett. 65 2816
[54] Aeppli G, Bucher E, Broholm C, Kjems J K, Baumann J, Hufnagl J 1988 Phys. Rev. Lett. 60 615
[55] Hayden S M, Taillefer L, Vettier C, Flouquet J 1992 Phys. Rev. B 46 8675
[56] Saxena S S, Agarwal P, Ahilan K, Grosche F M, Haselwimmer R K W, Steiner M J, Pugh E, Walker I R, Julian S R, Monthoux P, Lonzarich G G, Huxley A, Sheikin I, Braithwaite D, Flouquet J 2000 Nature 406 587
[57] Aoki D, Huxley A, Ressouche E, Braithwaite D, Flouguet J, Brison J P, Lhotel E, Paulsen C 2001 Nature 413 613
[58] Huy N T, Gasparini A, de Nijs D E, Huang Y, Klaasse J C P, Gortenmulder T, de Visser A, Hamann A, Grlach T, Lhneysen H v 2007 Phys. Rev. Lett. 99 067006
[59] Ohta T, Hattori T, Ishida K, Nakai Y, Osaki E, Deguchi K, Sato N K, Satoh I 2010 J. Phys. Soc. Jpn. 79 023707
[60] Akazawa T, Hidaka H, Fujiwara T, Kobayashi T C, Yamamoto E, Haga Y, Settai R, ōnuki Y 2004 J. Phys.: Condens. Matter 16 L29
[61] Mounce A M, Yasuoka H, Koutroulakis G, Ni N, Bauer E D, Ronning F, Thompson J D 2015 Phys. Rev. Lett. 114 127001
[62] Broholm C, Kjems J K, Buyers W J L, Matthews P, Palstra T T M, Menovsky A A, Mydosh J A 1987 Phys. Rev. Lett. 58 1467
[63] Isaacs E D, McWhan D B, Kleiman R N, Bishop D J, Ice G E, Zschack P, Gaulin B D, Mason T E, Garrett J D, Buyers W J L 1990 Phys. Rev. Lett. 65 3185
[64] Bauer E D, Frederick N A, Ho P C, Zapf V S, Maple M B 2002 Phys. Rev. B 65 100506
[65] Aoki Y, Tayama T, Sakakibara T, Kuwahara K, Iwasa K, Kohgi M, Higemoto W, MacLaughlin D E, Sugawara H, Sato H 2007 J. Phys. Soc. Jpn. 76 051006
[66] Sakai A, Nakatsuji S 2011 J. Phys. Soc. Jpn. 80 063701
[67] Sakai A, Kuga K, Nakatsuji S 2012 J. Phys. Soc. Jpn. 81 083702
[68] Tsujimoto M, Matsumoto Y, Tomita T, Sakai A, Nakatsuji S 2014 Phys. Rev. Lett. 113 267001
[69] Koutroulakis G, Yasuoka H, Chudo H, Tobash P H, Mitchell J N, Bauer E D, Thompson J D 2014 New J. Phys. 16 063019
[70] Bauer E D, Thompson J D 2015 Ann. Rev. Condens. Matter Phys. 6 137
[71] Sarrao J L, Morales J A, Thompson J D, Scott B L, Stewart G R, Wastin F, Rebizant J, Boulet P, Colineau E, Lander G H 2002 Nature 420 297
[72] Hiess A, Stunault, Colineau E, Rebizant J, Wastin F, Caciuffo R, Lander G H 2008 Phys. Rev. Lett. 100 076403
[73] Ramshaw B J, Shekhter A, McDonald R D, Betts J B, Mitchell J N, Tobash P H, Mielke C H, Bauer E D, Migliori A 2015 Proc. Nal. Acad. USA 112 3285
[74] Aoki D, Haga Y, Matsuda D, Tateiwa N, Ikeda S, Homma Y, Sakai H, Shiokawa Y, Yamamoto E, Nakamura A, Settai R, Onuki Y 2007 J. Phys. Soc. Jpn. 76 063701
[75] Nakatsuji S, Kuga K, Machida Y, Tayama T, Sakakibara T, Karaki Y, Ishimoto H, Yonezawa S, Maeno Y, Pearson E, Lonzarich G G, Balicas L, Lee H, Fisk Z 2008 Nature Physics 4 603
[76] Matsumoto Y, Nakatsuji S, Kuga K, Karaki Y, Horie N, Shimura Y, Sakakibara T, Nevidomskyy A H, Coleman P 2011 Science 331 316
[77] Hill H H 1970 in Plutonium 1970 and Other Actinides AIME, edited by Miner W H (New York: The Metallurgical Society of the AIME)
[78] Yuan H Q, Grosche F M, Deppe M, Geibel C, Sparn G, Steglich F 2003 Science 302 2104
[79] Bauer E D, Lee H O, Sidorov V A, Kurita N, Gofryk K, Zhu J X, Ronning F, Movshovich R, Thompson J D, Park T 2010 Phys. Rev. B 81 180507
[80] Zhou B B, Misra S, da Solva Neto E H, Aynajian P, Baumbach R E, Thompson J D, Bauer E D, Yazdani A 2013 Nature Physics 9 474
[81] Allan M P, Massee F, Morr D K, Van Dyke J, Rost A W, Mackenzie A P, Petrovic C, Davis J C 2013 Nature Physics 9 468
[82] Hu T, Singh Y P, Shu L, Janoschek M, Dzero M, Maple M B, Almasan C C 2013 Proc. Nal. Acad. Sci. USA 110 7160
[83] Chen Y, Jiang W B, Guo C Y, Ronning F, Bauer E D, Park T, Yuan H Q, Fisk Z, Thompson J D, Lu X 2015 Phys. Rev. Lett. 114 146403
[84] Schemm E R, Gannon W J, Wishne C M, Halperin W P, Kapitulnik A 2014 Science 345 190
[85] Schemm E R, Baumbach R E, Tobash P H, Ronning F, Bauer E D, Kapitulnik 2015 Phys. Rev. B 91 140506
[86] Kittaka S, Aoki Y, Shimura Y, Sakakibara T, Seiro S, Geibel C, Steglich F, Ikeda H, Machida K 2014 Phys. Rev. Lett. 112 067002
[87] Shimizu Y, Kittaka S, Sakakibara T, Haga Y, Yamamoto E, Amitsuka H, Tsutsumi Y, Machida K 2015 Phys. Rev. Lett. 114 147002
[88] Fujiwara K, Hata1 Y, Kobayashi K, Miyoshi K, Takeuchi J, Shimaoka Y, Kotegawa H, Kobayashi T C, Geibel C, Steglich F 2008 J. Phys. Soc. Jpn. 77 123711
[89] Arndt J, Stockert O, Schmalzl K, Faulhaber E, Jeevan H S, Geibel C, Schmidt W, Loewenhaupt M, Steglich F 2011 Phys. Rev. Lett. 106 246401
[90] Ott H R, Rudigier H, Rice T M, Ueda K, Fisk Z, Smith J L 1984 Phys. Rev. Lett. 52 1915
[91] Einzel D, Hirschfeld P J, Gross F, Chandrasekhar B S, Andres K, Ott H R, Beuers J, Fisk Z, Smith J L 1986 Phys. Rev. Lett. 56 2513
[92] MacLaughlin D E, Tien C, Clark W G, Lan M D, Fisk Z, Smith J L, Ott H R 1984 Phys. Rev. Lett. 53 1833
[93] Golding B, Bishop D J, Batlogg B, Haemmerle W H, Fisk Z, Smith J L, Ott H R 1985 Phys. Rev. Lett. 55 2479
[94] Ikeda H, Suzuki M, Arita R 2015 Phys. Rev. Lett. 114 147003
[95] Yamaoka H, Ikeda Y, Jarrige I, Tsujii N, Zekko Y, Yamamoto Y, Mizuki J, Lin J F, Hiraoka N, Ishii H, Tsuei K D, Kobayashi T C, Honda F, Onuki Y 2014 Phys. Rev. Lett. 113 086403
[96] Pourovskii L V, Hansmann P, Ferrero M, Georges A 2014 Phys. Rev. Lett. 112 106407
[97] Rueff J P, Ablett J M, Striigari F, Deppe M, Haverkort M W, Tjeng L H, Severing A 2015 Phys. Rev. B 91 201108
[98] Bruls G, Wolf B, Finsterbusch D, Thalmeier P, Kouroudis I, Sun W, Assmus W, Lthi B 1994 Phys. Rev. Lett. 72 1754
[99] Stockert O, Faulhaber E, Zwicknagl G, Ster N, Jeevan H S, Deppe M, Borth R, Kchler, Loewenhaupt M, Geibel C, Steglich F 2004 Phys. Rev. Lett. 92 136401
[100] Monthoux P, Lonzarich G G 2001 Phys. Rev. B 63 054529
[101] Shishido H, Shibauchi T, Yasu K, Kato T, Kontani H, Terashima T, Matsuda Y 2010 Science 19 980
[102] Kawasaki S, Mito T, Kawasaki Y, Zheng G Q, Kitaoka Y, Aoki D, Haga Y, ōnuki Y 2003 Phys. Rev. Lett. 91 137001
[103] Sarrao J L, Thompson J D 2007 J. Phys. Soc. Jpn. 76 051013
[104] Shishido H, Settai R, Harima H, ōnuki Y 2005 J. Phys. Soc. Jpn. 74 1103
[105] Park T, Sidorov V A, Ronning F, Zhu J X, Tokiwa Y, Lee H, Bauer E D, Movshovich R, Sarrao J L, Thompson J D 2008 Nature 456 366
[106] Jiao L, Chen Y, Kohama Y, Graf D, Bauer E D, Singleton J, Zhu J X, Weng Z, Pang G, Shang T, Zhang J, Lee H, Park T, Jaime M, Thompson J D, Steglich F, Si Q, Yuan H Q 2015 Proc. Nal. Acad. Sci. USA 112 673
[107] Sakai H, Tokunaga Y, Kambe S, Ronning F, Bauer E D, Thompson J D 2014 Phys. Rev. Lett. 112 206401
[108] Petrovic C, Pagliuso P G, Hundley M F, Movshovich R, Sarrao J L, Thompson J D, Fisk Z, Monthoux P 2001 J. Phys.: Condens. Matter 13 L337
[109] Izawa K, Yamaguchi H, Matsuda Y, Shishido H, Settai R, Onuki Y 2001 Phys. Rev. Lett. 87 057002
[110] An K, Sakakibara T, Settai R, Onuki Y, Hiragi M, Ichioka M, Machida K 2010 Phys. Rev. Lett. 104 037002
[111] Stock C, Broholm C, Hudis J, Kang H J, Petrovic C 2008 Phys. Rev. Lett. 100 087001
[112] Park W K, Sarrao J L, Thompson J D, Greene L H 2008 Phys. Rev. Lett. 100 177001
[113] Van Dyke J, Massee F, Allan M P, Davis J C, Petrovic C, Morr D K 2014 Proc. Nal. Acad. Sci. USA 111 11663
[114] Sidorov V A, Nicklas M, Pagliuso P G, Sarrao J L, Bang Y, Balatsky A V, Thompson J D 2002 Phys. Rev. Lett. 89 157004
[115] Kenzelmann M, Strssle Th, Niedermayer C, Sigrist M, Padmanabhan B, Zolliker M, Bianchi A D, Movshovich R, Bauer E D, Sarrao J L, Thompson J D 2008 Science 321 1652
[116] Bianchi A, Movshovich R, Vekhter I, Pagliuso P G, Sarrao J L 2003 Phys. Rev. Lett. 91 257001
[117] Gerber S, Bartkowiak M, Gavilano J L, Ressouche E, Egetenmeyer N, Niedermayer C, Bianchi A D, Movshovich R, Bauer E D, Thompson J D, Kenzelmann M 2014 Nature Physics 10 126
[118] Singh Y P, Haney D J, Lum I K, White B D, Maple M B, Dzero M, Almasan C C 2015 J. Phys.: Conf. Ser. 592 012078
[119] Kim H, Tanatar M A, Flint R, Petrovic C, Hu R, White B D, Lum I K, Maple M B, Prozorov R 2015 Phys. Rev. Lett. 114 027003
[120] Petrovic C, Movshovich R, Jaime M, Pagliuso P G, Hundley M F, Sarrao J L, Fisk Z, Thompson J D 2001 Europhys. Lett. 53 354
[121] Willers T, Strigari F, Hu Z, Sessi V, Brookes N B, Bauer E D, Sarrao J L, Thompson J D, Tanaka A, Wirth S, Tjeng L H, Severing A 2015 Proc. Nal. Acad. Sci. USA 112 2384
[122] Yashima M, Tagami N, Taniguchi S, Unemori T, Uematsu K, Mukuda H, Kitaoka Y, ōta Y, Honda F, Settai R, ōnuki Y 2012 Phys. Rev. Lett. 109 117001
[123] Shang T, Baumbach R E, Gofryk K, Ronning F, Weng Z F, Zhang J L, Lu X, Bauer E D 2014 Phys. Rev. B 89 041101(R)
[124] Kaczorowski D, Gnida D, Pikul A P, Tran V H 2010 Solid State Comm. 150 411
[125] Tokiwa Y, Gegenwart P, Gnida D, Kaczorowski D 2011 Phys. Rev. B 84 140507
[126] Kimura N, Bonalde I 2012 in Non-Centrosymmetric Superconductors: Introduction and Overview, Lecture Notes in Physics 847, edited by Bauer E, Sigrist M (Berlin Heidelberg: Springer-Verlag) Chapter 2
[127] Tateiwa N, Haga Y, Matsuda T D, Ikeda S, Yasuda T, Takeuchi T, Settai R, ōnuki Y 2005 J. Phys. Soc. Jpn. 74 1903
[128] Stockert O, Steglich F 2011 Annu. Rev. Condens. Matter Phys. 2 79
[129] Steglich F 2014 Phil. Mag. 94 3259
[130] Bernhoeft N, Sato N, Roessli B, Aso N, Hiess A, Lander G H, Endoh Y, Komatsubara T 1998 Phys. Rev. Lett. 81 4244
[131] Watanabe T, Izawa K, Kasahara Y, Haga Y, Onuki Y, Thalmeier P, Maki K, Matsuda Y 2004 Phys. Rev. B 70 184502
[132] Jourdan M, Huth M, Adrian H 1999 Nature 398 47
[133] Matsuda K, Kohori Y, Kohara T 1997 Phys. Rev. B 55 15223
[134] Hiroi M, Sera M, Kobayashi N, Haga Y, Yamamoto E, ōnuki Y 1997 J. Phys. Soc. Jpn. 66 1595
[135] Ishida K, Ozaki D, Kamatsuka T, Tou H, Kyogaku M, Kitaoka Y, Tateiwa N, Sato N K, Aso N, Geibel C, Steglich F 2002 Phys. Rev. Lett. 89 037002
[136] Rueff J P, Raymond S, Yaresko A, Braithwaite D, Leininger P, Vank G, Huxley A, Rebizani J, Sato N 2007 Phys. Rev. B 76 085113
[137] Narlikar A V 2014 Superconductors (United Kingdom: Oxford University Press) p212
[138] Ott H R, Rudigier H, Fisk Z, Smith J L 1985 Phys. Rev. B 31 1651
[139] Joynt R, Taillefer L 2002 Rev. Mod. Phys. 74 235
[140] Fisher R A, Kim S, Woodfield B F, Phillips N E, Taillefer L, Hasselbach K, Flouquet J, Giorgi A L, Smith J L 1989 Phys. Rev. Lett. 62 1411
[141] Tou H, Kitaoka Y, Asayama K, Kimura N, ōnuki Y, Yamamoto E, Maezawa K 1996 Phys. Rev. Lett. 77 1374
[142] de Visser A, Graf M J, Estrela P, Amato A, Baines C, Andreica D, Gygax F N, Schenck A 2000 Phys. Rev. Lett. 85 3005
[143] Huxley A, Rodire P, Paul D M, van Dijk N, Cubitt R, Flouquet J 2000 Nature 406 160
[144] Hayden S M, Taillefer L, Vettier C, Flouquet J 2002 Phys. Rev. B 46 8675
[145] Gannon W J, Halperin W P, Rastovski C, Schlesinger K J, Hlevyack J, Eskildsen M R, Vorontsov A B, Gavilano J, Gasser U, Nagy G 2015 New J. Phys. 17 023041
[146] Lussier B, Ellman B, Taillefer L 1996 Phys. Rev. B 53 5145
[147] Ellman B, Taillefer L, Poirier M 1996 Phys. Rev. B 54 9043
[148] Huxley A, Rodire P, Paul D M K, Dijk N v, Cubitt R, Flouquet J 2000 Nature 406 160
[149] Strand J D, Bahr D J, Harlingen D J V, Davis J P, Gannon W J, Halperin W P 2010 Science 328 1368
[150] Tsutsumi Y, Machida K, Ohmi T, Ozake M 2012 J. Phys. Soc. Jpn. 81 074717
[151] Izawa K, Machida Y, Itoh A, So Y, Ota K, Haga Y, Yamamoto E, Kimura N, ōnuki Y, Tsutsumi Y, Machida K 2014 J. Phys. Soc. Jpn. 83 061013
[152] Strand J D, Harlingen D J V, Kycia J B, Halperin W P 2009 Phys. Rev. Lett. 103 197002
[153] Tsutsumi Y, Ishikawa M, Kawakami T, Mizushima T, Sato M, Ichioka M, Michida K 2013 J. Phys. Soc. Jpn. 82 113707
[154] Huxley A D 2015 Physica C 514 368
[155] Huxley A, Ressouche E, Grenier B, Aoki D, Flouquet J, Pfleiderer C 2003 J. Phys.: Condens. Matter 15 S1945
[156] Aoki D, Flouquet J 2014 J. Phys. Soc. Jpn. 83 061011
[157] Huy N T, de Nijs D E, Huang Y K, de Visser A 2008 Phys. Rev. Lett. 100 077002
[158] Stock C, Sokolov D A, Bourges P, Tobash P H, Gofryk K, Ronning F, Bauer E D, Rule K C, Huxley A D 2011 Phys. Rev. Lett. 107 187202
[159] Ihara Y, Hattori T, Oshida K, Nakai Y, Osaki E, Deguchi K, Sato N K, Satoh I 2010 Phys. Rev. Lett. 105 206403
[160] Hattori T, Ihara Y, Nakai Y, Ishida K, Tada Y, Fujimoto S, Kawakami N, Osaki E, Deguchi K, Sato N K, Satoh I 2012 Phys. Rev. Lett. 108 066403
[161] Kobayashi T C, Hori A, Fukushima S, Hidaka H, Kotegawa H, Akazawa T, Takeda K, Ohishi Y, Yamamoto E 2007 J. Phys. Soc. Jpn. 76 051007
[162] Meisner G P, Giorgi A L, Lawson A C, Stewart G R, Willis J O, Wire M S, Smith J L 1984 Phys. Rev. Lett. 53 1829
[163] Mydosh J A, Oppeneer P M 2014 Phil. Mag. 94 3642
[164] Kasahara Y, Shishido H, Shibauchi T, Haga Y, Matsuda T D, Onuki Y, Matsuda Y 2009 New. J. Phys. 11 055061
[165] Fisher R A, Kim S, Wu Y, Phillips N E, McElfresh M W, Torikachvili M S, Maple M B 1990 Physica B 163 419
[166] Matsuda K, Kohori Y, Kohara T 1996 J. Phys. Soc. Jpn. 65 679
[167] Yamashita T, Shimoyama Y, Haga Y, Matsuda T D, Yamamoto E, Onuki Y, Sumiyoshi H, Fujimoto S, Levchenko A, Shibauchi T, Matsuda Y 2014 Nature Physics 11 17
[168] Sarrao J L, Bauer E D, Mitchell J N, Tobash P H, Thompson J D 2015 Physica C 514 184
[169] Curro N J, Caldwell T, Bauer E D, Morales L A, Graf M J, Bang Y, Balatsky A V, Thompson J D, Sarrao J L 2005 Nature 434 622
[170] Matsumoto Y, Nakatsuji S, Kuga K, Karaki Y, Shimura Y, Sakakibara T, Nevidomskyy A H, Coleman P 2012 J. Phys.: Conf. Ser. 391 012041
[171] Okawa M, Matsunami M, Ishizaka K, Eguchi R, Taguchi M, Chainani A, Takata Y, Yabashi M, Tamasaku K, Nishino Y, Ishikawa T, Kuga K, Horie N, Nakatsuji S, Shin S 2010 Phys. Rev. Lett. 104 247201
[172] Volovik G E, Gorkov L P 1985 JETP 61 843
[173] Sigrist M, Ueda K 1991 Rev. Mod. Phys. 63 239
[174] Hirsch J E 1985 Phys. Rev. Lett. 54 1317
[175] Leggett A J 1975 Rev. Mod. Phys. 47 331
[176] Bal-Monod M T, Bourbonnais C, Emery V J 1986 Phys. Rev. B 34 7716
[177] Scalapino D J, Loh E, Hirsch J E 1986 Phys. Rev. B 34 8190
[178] Miyake K, Schmitt-Rink S, Varma C M 1986 Phys. Rev. B 34 6554
[179] [180] Bednorz J G, Mller K A 1986 Z. Phys. B 63 189
[181] Monthoux P, Balatsky A V, Pines D 1991 Phys. Rev. Lett. 67 3448
[182] Monthoux P, Lonzarich G G 1999 Phys. Rev. B 59 14598
[183] Monthoux P, Lonzarich G G 2002 Phys. Rev. B 66 224504
[184] Nishiyama S, Miyake K, Varma C M 2013 Phys. Rev. B 88 014510
[185] Hertz J A 1976 Phys. Rev. B 14 1165
[186] Millis A J 1993 Phys. Rev. B 48 7183
[187] Moriya T 1985 Spin Fluctuations in Itinerant Electron Magnetism, Springer Series in Solid State Physics (Berlin: Springer-Verlag)
[188] Si Q, Rabello S, Ingersent K, Smith J L 2001 Nature 413 804
[189] Si Q, Pixley J H, Nica E, Yamamoto S J, Goswami P, Yu R, Kirchner S 2014 J. Phys. Soc. Jpn. 83 061005
[190] Pixley J H, Cai A, Si Q M 2015 Phys. Rev. B 91 125127
[191] Jaccard D, Wilhelm H, Yadri K A, Vargoz E 1999 Physica B 259-261 1
[192] Onishi Y, Miyake K 2000 Physica B 281 191
[193] Onishi Y, Miyake K 2000 J. Phys. Soc. Jpn. 69 3955
[194] Holmes A T, Jaccard D, Miyake K 2004 Phys. Rev. B 69 024508
[195] Watanabe S, Imada M, Miyake K 2006 J. Phys. Soc. Jpn. 75 043710
[196] Miyake K, Watanabe S 2014 J. Phys. Soc. Jpn. 83 061006
[197] Seyfarth G, Retschi A S, Sengupta K, Georges A, Jaccard D, Watanabe S, Miyake K 2012 Phys. Rev. B 85 205105
[198] McHale P, Fulde P, Thalmeir 2004 Phys. Rev. B 70 014513
[199] Thalmeier P, Maki K, Yuan Q 2004 Physica C 408-410 177
[200] Thalmeier P 2006 Physica B 378-380 261
[201] Shu L, Higemoto W, Aoki Y, Hillier A D, Ohishi K, Ishida K, Kadono R, Koda A, Bernal O, MacLaughlin D E, Tunashima Y, Yonezawa Y, Sanada S, Kikuchi D, Sato H, Sugawara H, Ito T U, Maple M B 2011 Phys. Rev. B 83 100504
[202] Ho P C, MacLaughlin D E, Shu L, Bernal O O, Zhao S R, Dooraghi A A, Yanagisawa T, Maple M B, Fukuda R H 2014 Phys. Rev. B 89 235111
[203] Flint R, Dzero M, Coleman P 2008 Nature Physics 4 643
[204] Flint R, Coleman P 2010 Phys. Rev. Lett. 105 246404
[205] Flint R, Nevidomskyy A H, Coleman P 2011 Phys. Rev. B 84 064514
[206] Erten O, Flint R, Coleman P 2015 Phys. Rev. Lett. 114 027002
[207] Senthil T, Sachdev S, Vojta M 2003 Phys. Rev. Lett. 90 216403
[208] Senthil T, Fisher M P A 2000 Phys. Rev. B 62 7850
[209] Coleman P, Andrei N 1989 J. Phys. : Condens. Matter 1 4057
[210] Andrei N, Coleman P 1989 Phys. Rev. Lett. 62 595
[211] Liu Y, Li H, Zhang G M, Yu L 2012 Phys. Rev. B 86 024526
[212] Liu Y, Zhang G M, Yu L 2014 Chin. Phys. Lett. 31 087102
[213] Zwicknagl G, Pulst U 1993 Physica B 186-188 895
[214] Eremin I, Zwicknagl G, Thalmeier P, Fulde P 2008 Phys. Rev. Lett. 101 187001
[215] Ito T, Kumigashira H, Kim H D, Takahashi T, Kimura N, Haga Y, Yamamoto E, Ōnuki Y, Harima H 1999 Phys. Rev. B 59 8923
[216] Sugawara H, Osaki S, Saha S R, Aoki Y, Sato H, Inada Y, Shishido H, Settai R, Ōnuki Y, Harima H, Oikawa K 2002 Phys. Rev. B 66 220504
[217] Xavier J C 2003 Phys. Rev. B 68 134422
[218] Xavier J C, Dagotto E 2008 Phys. Rev. Lett. 100 146403
[219] Asadzadeh M Z, Becca F, Fabrizio M 2013 Phys. Rev. B 87 205144
[220] Asadzadeh M Z, Fabrizio M, Becca F 2014 Phys. Rev. B 90 205113
[221] Bodensiek O, Zitko R, Vojta M, Jarrell M, Pruschke T 2013 Phys. Rev. Lett. 110 146406
[222] Wu W, Tremblay A M S 2015 Phys. Rev. X 5 011019
[223] Yang Y F, Fisk Z, Lee H O, Thompson J D, Pines D 2008 Nature 454 611
[224] Yang Y F, Pines D 2008 Phys. Rev. Lett. 100 096404
[225] Yang Y F, Pines D 2012 Proc. Nal. Acad. Sci. USA 109 E3060
[226] Yang Y F 2009 Phys. Rev. Lett. 103 197004
[227] Yang Y F, Pines D, Curro N J 2014 arXiv: 1410.0452[cond-mat.supr-con]
[228] Yang Y F, Pines D 2014 Proc. Nal. Acad. Sci. USA 111 18178
[229] Nakatsuji S, Pines D, Fisk Z 2004 Phys. Rev. Lett. 92 016401
[230] Curro N J, Young B L, Schmalian J, Pines D 2004 Phys. Rev. B 70 235117
[231] Yang Y F 2013 Phys. Rew. B 87 045102
[232] Yang Y F, Pines D 2014 Proc. Nal. Acad. Sci. USA 111 8398
[233] Barzykin V, Pines D 2009 Adv. Phys. 58 1
[234] Yang Y F 2014 Physics 43 80
[235] Millis A J, Monien H, Pines D 1990 Phys. Rev. B 42 167
[236] Shirer K R, Shickley A C, Dioguardi A P, Crocker J, Lin C H, apRoberts-Warren N, Nisson D M, Klavins P, Cooley J C, Yang Y F, Curro N J 2012 Proc. Nal. Acad. Sci. USA 109 E3067
[237] Thompson J D 2014 JPS Conf. Proc. 3 010001
[238] Fujimori S, Kawasaki I, Yasui A, Takeda Y, Okane T, Saitoh Y, Fujimori A, Yamagami H, Haga Y, Yamamoto E, Ōnuki Y 2014 JPS Sonf. Proc. 3 011072
[239] Jiang R, Mou D X, Liu C, Zhao X, Yao Y X, Ryu H, Petrovic C, Ho K M, Kaminski A 2015 Phys. Rev. B 91 165101
[240] Sarrao J L, Ronning F, Bauer E D, Batista C D, Zhu J X, Thompson J D 2015 APL Mater. 3 041512
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