Quantum coherence in spin-orbit coupled quantum dots system

Wang Zhi-Mei; Wang Hong; Xue Nai-Tao; Cheng Gao-Yan

doi:10.7498/aps.71.20212111

Abstract

In this paper, the quantum coherence effect in spin-orbit coupled quantum dots system is studied. The average current, shot noise and skewness of the system are calculated by using the full counting statistics approach of the transport system. It is found that the shot noise decreases with the spin-orbit coupling increasing. More importantly, the current, noise and skewness fluctuate periodically with the magnetic flux. And the oscillation period is not affected by the strength of spin-orbit coupling, spin polarization and dynamic coupling asymmetry.

Keywords:

Authors and contacts

1.
Department of Physics, Taiyuan Normal University, Jinzhong 030619, China
2.
Institute of Computational and Applied Physics, Taiyuan Normal University, Jinzhong 030619, China
3.
Wuhan National Laboratory for Optoelectronics, Huazhong University of Science and Technology, Wuhan 430074, China

Corresponding author: Wang Zhi-Mei, 120705547@qq.com

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11747057) and the Scientific and Technologial Innovation Programs of Higher Education Institutions in Shanxi Province, China (Grant No. 2020L0526).

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References

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[63]	Sun Q F, Xie X C 2005 Phys. Rev. B 71 155321 Google Scholar
[64]	Belzig W 2005 Phys. Rev. B 71 161301 Google Scholar
[65]	Streltsov A, Adesso G, Plenio M B 2017 Rev. Mod. Phys. 89 041003 Google Scholar
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Cited By

图 1 自旋轨道耦合常数${\alpha _{{\text{SO}}}}$不同时,　(a)平均电流$\left\langle I \right\rangle $, (b)散粒噪声${F_{\text{a}}}$和(c)偏斜${S_{\text{k}}}$随磁通$\zeta $振荡图. ${\varepsilon }_{1}=1, $$ {\varepsilon }_{2}=3, {\varGamma }_{\text{L}}={\varGamma }_{\text{R}}=0.01, p=0.1$

Figure 1. (a) Average current$\left\langle I \right\rangle $, (b) shot noise${F_{\text{a}}}$and (c) skewness${S_{\text{k}}}$ fluctuation diagram in different spin-orbit coupling strength${\alpha _{{\text{SO}}}}$. ${\varepsilon }_{1}=1, {\varepsilon }_{2}=3, {\varGamma }_{\text{L}}={\varGamma }_{\text{R}}=0.01, $$ p=\mathrm{0.1}$

DownLoad: Full-Size Img PowerPoint

图 2 非对称动力耦合下,　(a)平均电流$\left\langle I \right\rangle $, (b)散粒噪声${F_{\text{a}}}$和(c)偏斜${S_{\text{k}}}$随磁通$\zeta $振荡图. ${\varepsilon }_{1}=1,\; {\varepsilon }_{2}=3, $$ \; {\alpha }_{\text{SO}}=0.3,\; p=0.1$

Figure 2. (a) Average current$\left\langle I \right\rangle $, (b) shot noise${F_{\text{a}}}$ and (c) skewness ${S_{\text{k}}}$ fluctuation diagram for asymmetric dot-electrode coupling. ${\varepsilon }_{1}=1,\; {\varepsilon }_{2}=3,\; {\alpha }_{\text{SO}}=0.3,\; p=\mathrm{0.1}$

DownLoad: Full-Size Img PowerPoint

图 3 自旋极化率$p$不同时,　(a)平均电流$\left\langle I \right\rangle $, (b)散粒噪声${F_{\text{a}}}$和(c)偏斜${S_{\text{k}}}$随磁通$\zeta $振荡图. ${\varepsilon }_{1}=1, \;{\varepsilon }_{2}=3, $$ \;{\alpha }_{\text{SO}}=0.3,\; {\varGamma }_{\text{L}}={\varGamma }_{\text{R}}=0.01$

Figure 3. (a) Average current$\left\langle I \right\rangle $, (b) shot noise${F_{\text{a}}}$ and (c) skewness${S_{\text{k}}}$ with magnetic flux oscillation with different spin polarization$p$.${\varepsilon }_{1}=1,\; {\varepsilon }_{2}=3,\; {\alpha }_{\text{SO}}=0.3,\; {\varGamma }_{\text{L}}={\varGamma }_{\text{R}}= $$ \mathrm{0.01}$

DownLoad: Full-Size Img PowerPoint

[1]	Lucignano P, Jouault B, Tagliacozzo A 2004 Phys. Rev. B 69 4 Google Scholar
[2]	Kouwenhoven L P, Austing D G, Tarucha S 2001 Rep. Prog. Phys. 64 6 Google Scholar
[3]	Souza F M, Egues J C, Jauho A P 2007 Phys. Rev. B 75 165303 Google Scholar
[4]	Świrkowicz R, Wilczyński M, Wawrzyniak M, Barnaś J 2006 Phys. Rev. B 73 193312 Google Scholar
[5]	Martinek J, Sindel M, Borda L, Barnaś J, Bulla R, König J, Schön G, Maekawa S, von Delft J 2005 Phys. Rev. B 72 121302(R)
[6]	Elste F, Timm C 2006 Phys. Rev. B 73 235305 Google Scholar
[7]	Weymann I, Barnaś J, König J, Martinek J, Schön G 2005 Phys. Rev. B 72 113301 Google Scholar
[8]	Cottet A, Belzig W, Bruder C 2004 Phys. Rev. Lett. 92 206801 Google Scholar
[9]	Datta S, Houten H V 1996 Phys. Today 49 5 Google Scholar
[10]	Nazarov Y V 1993 Physica B 189 57 Google Scholar
[11]	Gurvitz S A, Lipkin H J, Prager Y S 1996 Phys. Lett. A 212 91 Google Scholar
[12]	Gurvitz S A, Prager Y S 1996 Phys. Rev. B 53 15932 Google Scholar
[13]	Li X Q, Luo J Y, Yang Y G 2005 Phys. Rev. B 71 205304 Google Scholar
[14]	Kampen N G V 1983 Phys. Today 36 278 Google Scholar
[15]	Fu B, Zhang L, Wei Y D, Wang J 2017 Phys. Rev. B 96 115410 Google Scholar
[16]	Kilgour M, Agarwalla B K, Segal D 2019 J. Chem. Phys. 150 8 Google Scholar
[17]	Bagrets D A, Nazarov Y V 2003 Phys. Rev. B 67 085316 Google Scholar
[18]	Luo J Y, Shen Y, He X L, Li X Q, Yan Y J 2011 Phys. Lett. A 376 59 Google Scholar
[19]	Levitov L S, Lesovik G B 1993 JETP Lett. 58 230 Google Scholar
[20]	Blanter Y M, Büttiker M 2000 Phys. Rep. 336 1 Google Scholar
[21]	Timofeev A V, Meschke M, Peltonen J T, Heikkila T T, Pekola J P 2007 Phys. Rev. Lett. 98 207001 Google Scholar
[22]	Sukhorukov E V, Jordan A N, Gustavsson S, Leturcq R, Ihn T, Ensslin K 2007 Nat. Phys. 3 243 Google Scholar
[23]	Gershon G, Bomze Y, Sukhorukov E V, Reznikov M 2008 Phys. Rev. Lett. 101 016803 Google Scholar
[24]	Flindt C, Fricke C, Hohls F, Novotný T, Netočný K, Brandes T, Haug R J 2009 Proc. Natl. Acad. Sci. U. S. A. 106 10116 Google Scholar
[25]	Gabelli J, Reulet B 2009 Phys. Rev. B 80 161203(R)
[26]	GustavssonS, Leturcq R, Studer M, Shorubalko I, Ihn T, Ensslin K, Driscoll D C, Gossard A C 2009 Surf. Sci. Rep. 64 191 Google Scholar
[27]	Masne Q L, Pothier H, Birge N O, Urbina C, Esteve D 2009 Phys. Rev. Lett. 102 067002 Google Scholar
[28]	Ubbelohde N, Fricke C, Flindt C, Hohls F, Haug R J 2012 Nat. Commun. 3 612 Google Scholar
[29]	Reulet B, Senzier J, Prober D E 2003 Phys. Rev. Lett. 91 196601 Google Scholar
[30]	Bomze Y, Gershon G, Shovkun D, Levitov L S, Reznikov M 2005 Phys. Rev. Lett. 95 176601 Google Scholar
[31]	Gustavsson S, Leturcq R, Simovic B, Schleser R, Ihn T, Studerus P, Ensslin K, Driscoll D C, Gossard A C 2006 Phys. Rev. Lett. 96 076605 Google Scholar
[32]	Fujisawa T, Hayashi T, Tomita R, Hirayama Y 2006 Science 312 1634 Google Scholar
[33]	Maisi V F, Kambly D, Flindt C, Pekola J P 2014 Phys. Rev. Lett. 112 036801 Google Scholar
[34]	Braggio A, Köenig J, Fazio R 2006 Phys. Rev. Lett. 96 026805 Google Scholar
[35]	Muzykantskii B A, Khmelnitskii D E 1994 Phys. Rev. B 50 3982 Google Scholar
[36]	Belzig W, Nazarov Y V 2001 Phys. Rev. Lett. 87 067006 Google Scholar
[37]	Belzig W, Nazarov Y V 2001 Phys. Rev. Lett. 87 197006 Google Scholar
[38]	Shelankov A, Rammer J 2003 Europhys. Lett. 63 485 Google Scholar
[39]	Bulashenko O M 2005 J. Stat. Mech. 15 8 Google Scholar
[40]	Taddei F, Fazio R 2002 Phys. Rev. B 65 075317 Google Scholar
[41]	Kindermann M 2005 Phys. Rev. B 71 165332 Google Scholar
[42]	Ankerhold J, Grabert H 2005 Phys. Rev. Lett. 95 186601 Google Scholar
[43]	Tobiska J, Nazarov Y V 2004 Phys. Rev. Lett. 93 106801 Google Scholar
[44]	Stegmann P, König J, Weiss S 2018 Phys. Rev. B 98 035409 Google Scholar
[45]	Aharonov Y, Bohm D 1959 Phys. Rev. 115 485 Google Scholar
[46]	Aikawa H, Kobayashi K, Sano A, Katsumoto S, Iye Y 2004 Phys. Rev. Lett. 92 176802 Google Scholar
[47]	Xu G, Broholm C, Soh Y A, Aeppli G, Ditusa J F, Chen Y, Kenzelmann M, Frost C D, Ito T, Oka K 2007 Science 317 5841 Google Scholar
[48]	Xu W, Guo Y 2005 Phys. Lett. A 340 281 Google Scholar
[49]	Wolf S A, Awschalom D D, Buhrman R A, Daughton J M, Molnar S V, Roukes M L, Chtchelkanova A Y, Treger D M 2001 Science 294 1488 Google Scholar
[50]	Zutic I, Fabian J, Sarma S D 2004 Rev. Mod. Phys. 76 323 Google Scholar
[51]	Datta S, Das S 1990 Appl. Phys. Lett. 56 665 Google Scholar
[52]	Miller J B, Zumbühl D M, Marcus C M, Lyanda-Geller Y B, Gossard A C 2003 Phys. Rev. Lett. 90 076807 Google Scholar
[53]	Manchon A, Koo H C, Nitta J, Frolov S M, Duine R A 2015 Nat. Mater. 14 9 Google Scholar
[54]	Sheng L, Sheng D N, Ting C S 2005 Phys. Rev. Lett. 94 016602 Google Scholar
[55]	Ogloblya O V, Kuznetsova G M 2013 Physica B 424 47 Google Scholar
[56]	Chi F, Li S S 2006 J. Appl. Phys. 100 11 Google Scholar
[57]	Žutić I, Fabian J, Sarma S D 2001 Appl. Phys. Lett. 79 1558 Google Scholar
[58]	Schmidt G, Ferrand D, Molenkamp L W, Filip A T, Wees B J V 2000 Phys. Rev. B 62 8 Google Scholar
[59]	Wu M W, Zhou J, Shi Q W 2004 Appl. Phys. Lett. 85 1012 Google Scholar
[60]	Ohe J I, Yamamoto M, Ohtsuki T, Nitta J 2004 Phys. Rev. B 72 041308 Google Scholar
[61]	Souma S, Nikolić B K 2004 Phys. Rev. B 70 195346 Google Scholar
[62]	Sun Q F, Wang J, Guo H 2005 Phys. Rev. B 71 165310 Google Scholar
[63]	Sun Q F, Xie X C 2005 Phys. Rev. B 71 155321 Google Scholar
[64]	Belzig W 2005 Phys. Rev. B 71 161301 Google Scholar
[65]	Streltsov A, Adesso G, Plenio M B 2017 Rev. Mod. Phys. 89 041003 Google Scholar
[66]	Hu M L, Hu X, Wang J, Yi P, Zhang Y R, Fan H 2018 Phys. Rep. 1 762 Google Scholar

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