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Electronic Raman experiments have shown the presence of two types of gaps in hole-doped cuprate superconductors: one is the gap that increases with underdoping and survives in the pseudogap normal state and the other is the gap that traces the superconducting dome and disappears above the transition temperature. This two-gap behavior is important in that it is related to the mechanism of the pseudogap. By calculating the electronic Raman spectra we show that this behavior is consistent with the picture in which the d-wave superconducting (SC) order and d-density-wave (DDW) order compete in the phase diagram. In particular, the energy of the B1g peak is determined by both the SC and the DDW orders, increases with underdoping and survives in the DDW normal state. On the other hand, the B2g peak is shown to be sensitive to the SC order alone, and thus vanishes in the normal state (even if in the presence of the DDW order). The doping dependence and the temperature dependence of the peak energies in the two channels accord nicely with recent experimental results, which strongly supports the competing-order point of view for the superconducting and pseudogap phases.
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Keywords:
- two gaps /
- electronic Raman scattering /
- competing order
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[2] Tanaka K, Lee W S, Lu D H, Fujimori A, Fujii T, Risdiana, Terasaki I, Scalapino D J, Devereaux T P, Hussain Z, Shen Z X 2006 Science 314 1910
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[9] Guyard W, Tacon M L, Cazayous M, Sacuto A, Georges A, Colson D, Forget A 2008 Phys. Rev. B 77 024524
[10] Guyard W, Sacuto A, CazayousM, Gallais Y, Tacon M L, Colson D, Forget A 2008 Phys. Rev. Lett. 101 097003
[11] Yu M, Yang H S, Chai Y S, Li P C, Li M D, Cao L Z 2002 Acta Phys. Sin. 51 1832 (in Chinese ) [余 旻、杨宏顺、柴一晟 、李鹏程、李明德、曹烈兆 2002 物理学报 51 1832]
[12] Zhao Y L, Zheng P, Chen Z J, Ren Q B, Xu Z A, Jiao Z K,Zhang Y J, Ong C K 2002 Acta Phys. Sin. 51 1836 (in Chinese ) [赵彦立、郑 萍、陈兆甲、任清褒、许祝安、焦正宽、Zhang Y J 、Ong C K 2002 物理学报 51 1836]
[13] Devereaux T P, Hackl R 2007 Rev. Mod. Phys. 79 175
[14] Slakey F, Klein M V, Rice J P, Ginsberg D M 1990 Phys. Rev. B 42 2643
[15] Blumberg G, Kang M, Klein M V, Kadowaki K, Kendziora C 1997 Science 278 1427
[16] Nemetschek R, Opel M, HoffmannC, Müller P F, Hackl R, Berger H, Forró L, Erb A, Walker E 1997 Phys. Rev. Lett. 78 4837
[17] Emery V, Kivelson S A 1995 Nature 374 434
[18] Chakravarty S, Laughlin R B, Morr D K, Nayak C 2001 Phys. Rev. B 63 094503
[19] Lu H Y, Wan Y, He X M, Wang Q H 2009 Chin. Phys. Lett. 26 097402
[20] Zeyher R, Greco A 2002 Phys. Rev. Lett. 89 177004 Zeyher R, Greco A 2004 Physica C 408 410
[21] Wu J B 2006 Acta Phys. Sin. 55 2049 (in Chinese ) [吴建宝 2006 物理学报 55 2049]
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[1] Deutscher G 1999 Nature 397 410
[2] Tanaka K, Lee W S, Lu D H, Fujimori A, Fujii T, Risdiana, Terasaki I, Scalapino D J, Devereaux T P, Hussain Z, Shen Z X 2006 Science 314 1910
[3] Kondo T, Takeuchi T, Kaminski A, Tsuda S, Shin S 2007 Phys. Rev. Lett. 98 267004
[4] Terashima K, Matsui H, Sato T, Takahashi T, Kofu M, Hirota K 2007 Phys. Rev. Lett. 99 017003
[5] Lee W S, Vishik I M, Tanaka K, Lu D H, Sasagawa T, Nagaosa N, Devereaux T P, Hussain Z, Shen Z X 2007 Nature 450 81
[6] Yu L, Munzar D, Boris A V, Yordanov P, Chaloupka J, Wolf T, Lin C T, Keimer B, Bernhard C 2008 Phys. Rev. Lett. 100 177004
[7] Venturini F, Opel M, Hackl R, Berger H, Forró L, Revaz B, 2002 J. Phys. Chem. Solids 63 2345
[8] Tacon M L, Sacuto A, Georges A, Kotliar G, Gallais Y, Colson D, Forget 2006 Nat. Phys. 2 537
[9] Guyard W, Tacon M L, Cazayous M, Sacuto A, Georges A, Colson D, Forget A 2008 Phys. Rev. B 77 024524
[10] Guyard W, Sacuto A, CazayousM, Gallais Y, Tacon M L, Colson D, Forget A 2008 Phys. Rev. Lett. 101 097003
[11] Yu M, Yang H S, Chai Y S, Li P C, Li M D, Cao L Z 2002 Acta Phys. Sin. 51 1832 (in Chinese ) [余 旻、杨宏顺、柴一晟 、李鹏程、李明德、曹烈兆 2002 物理学报 51 1832]
[12] Zhao Y L, Zheng P, Chen Z J, Ren Q B, Xu Z A, Jiao Z K,Zhang Y J, Ong C K 2002 Acta Phys. Sin. 51 1836 (in Chinese ) [赵彦立、郑 萍、陈兆甲、任清褒、许祝安、焦正宽、Zhang Y J 、Ong C K 2002 物理学报 51 1836]
[13] Devereaux T P, Hackl R 2007 Rev. Mod. Phys. 79 175
[14] Slakey F, Klein M V, Rice J P, Ginsberg D M 1990 Phys. Rev. B 42 2643
[15] Blumberg G, Kang M, Klein M V, Kadowaki K, Kendziora C 1997 Science 278 1427
[16] Nemetschek R, Opel M, HoffmannC, Müller P F, Hackl R, Berger H, Forró L, Erb A, Walker E 1997 Phys. Rev. Lett. 78 4837
[17] Emery V, Kivelson S A 1995 Nature 374 434
[18] Chakravarty S, Laughlin R B, Morr D K, Nayak C 2001 Phys. Rev. B 63 094503
[19] Lu H Y, Wan Y, He X M, Wang Q H 2009 Chin. Phys. Lett. 26 097402
[20] Zeyher R, Greco A 2002 Phys. Rev. Lett. 89 177004 Zeyher R, Greco A 2004 Physica C 408 410
[21] Wu J B 2006 Acta Phys. Sin. 55 2049 (in Chinese ) [吴建宝 2006 物理学报 55 2049]
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