Thermodynamic properties near the onset of loop-current order in high-Tc superconducting cuprates

Physical Review B - Condensed Matter and Materials Physics

Volumn 79, Issue 9, 2009, Pages

  Gronsleth M S ^a   Nilssen, T B ^a   Dahl, E K ^a   Stiansen, E B ^a   Varma, C M ^b   Sudbo A ^a  

^a NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

^b UNIVERSITY OF CALIFORNIA   (United States)

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EID: 63149168038     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.79.094506     Document Type: Article

References (35)

1. C. M. Varma, Phys. Rev. B 55, 14554 (1997) 10.1103/PhysRevB.55.14554
2. C. M. Varma, Phys. Rev. Lett. 83, 3538 (1999). 10.1103/PhysRevLett.83. 3538
3. M. E. Simon and C. M. Varma, Phys. Rev. Lett. 89, 247003 (2002) 10.1103/PhysRevLett.89.247003
4. C. M. Varma, Phys. Rev. B 73, 155113 (2006). 10.1103/PhysRevB.73.155113
5. V. Aji and C. M. Varma, Phys. Rev. Lett. 99, 067003 (2007). 10.1103/PhysRevLett.99.067003
6. C. M. Varma, P. B. Littlewood, S. Schmitt-Rink, E. Abrahams, and A. E. Ruckenstein, Phys. Rev. Lett. 63, 1996 (1989). 10.1103/PhysRevLett.63.1996
7. B. Fauqué, Y. Sidis, V. Hinkov, S. Pailhes, C. T. Lin, X. Chaud, and P. Bourges, Phys. Rev. Lett. 96, 197001 (2006). 10.1103/PhysRevLett.96. 197001
8. H. A. Mook, Y. Sidis, B. Fauqué, V. Balédent, and P. Bourges, Phys. Rev. B 78, 020506 (2008). 10.1103/PhysRevB.78.020506
9. 6+δ. 10.1038/nature07251
10. A. Kaminski, S. Rosenkranz, H. M. Fretwell, J. C. Campuano, Z. Li, H. Raffy, W. G. Cullen, H. You, C. G. Olson, C. M. Varma, H. Hochst, Nature (London) 416, 610 (2002). These authors discovered a symmetry breaking in circularly polarized angle-resolved photoemission experiments measurements in underdoped the high-temperature superconductor BISCCO compounds at T* (x), which was analyzed in Ref. to be consistent with loop-current order of the form shown in Fig. 1. 10.1038/416610a
11. B. Leridon, P. Monod, and D. Colson, arXiv:0806.2128 (unpublished).
12. K. Børkje and A. Sudbø, Phys. Rev. B 77, 092404 (2008). 10.1103/PhysRevB.77.092404
13. A. Sudbø, S. Schmitt-Rink, and C. M. Varma, Phys. Rev. B 46, 5548 (1992). 10.1103/PhysRevB.46.5548
14. A. Sudbø, C. M. Varma, T. Giamarchi, E. B. Stechel, and R. T. Scalettar, Phys. Rev. Lett. 72, 3292 (1994). 10.1103/PhysRevLett.72.3292.2
15. A. W. Sandvik and A. Sudbø, Phys. Rev. B 54, R3746 (1996). 10.1103/PhysRevB.54.R3746
16. M. Greiter and R. Thomale, Phys. Rev. Lett. 99, 027005 (2007) 10.1103/PhysRevLett.99.027005
17. R. Thomale and M. Greiter, Phys. Rev. B 77, 094511 (2008). 10.1103/PhysRevB.77.094511
18. M. S. Hybertsen, E. B. Stechel, M. Schluter, and D. R. Jennison, Phys. Rev. B 41, 11068 (1990). 10.1103/PhysRevB.41.11068
19. C. Weber, F. Mila, and T. Giamarchi, Phys. Rev. Lett. 102, 017005 (2009). 10.1103/PhysRevLett.102.017005
20. H. C. Lee and H.-Y. Choi, Phys. Rev. B 64, 094508 (2001). 10.1103/PhysRevB.64.094508
21. S. Chakravarty, R. B. Laughlin, D. K. Morr, and C. Nayak, Phys. Rev. B 63, 094503 (2001). 10.1103/PhysRevB.63.094503
22. K. Børkje, Ph.D. thesis, Norwegian University of Science and Technology, 2008.
23. J. Ashkin and E. Teller, Phys. Rev. 64, 178 (1943). 10.1103/PhysRev.64. 178
24. R. J. Baxter, Exactly Solved Models in Statistical Mechanics (Academic, London, 1982).
25. Anisotropy is generic to bond variables, which, unlike site variables, have directionality. In the present paper, we treat a problem in the particle-hole channel. See however also A. Melikyan and Z. Tesanovic, Phys. Rev. B 71, 214511 (2005) 10.1103/PhysRevB.71.214511, and
26. Z. Tesanovic, Nat. Phys. 4, 408 (2008). These authors treat a problem in the particle-particle channel, namely, the case of a phase-fluctuating lattice d -wave superconductor where the phase of the d -wave superconducting order parameter is a bond variable. 10.1038/nphys910
27. N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller, and E. Teller, J. Chem. Phys. 21, 1087 (1953). 10.1063/1.1699114
28. W. K. Hastings, Biometrika 57, 97 (1970). 10.1093/biomet/57.1.97
29. J. V. José, L. P. Kadanoff, S. Kirkpatrick, and D. R. Nelson, Phys. Rev. B 16, 1217 (1977). 10.1103/PhysRevB.16.1217
30. L. P. Kadanoff and A. C. Brown, Ann. Phys. 121, 318 (1979). 10.1016/0003-4916(79)90100-3
31. 256 are required for the finite-size scaling analysis. Since a precise numerical determination of α is not the main goal of this paper, we have not attempted this. 10.1103/PhysRevB.67.205104
32. A. M. Ferrenberg and R. H. Swendsen, Phys. Rev. Lett. 63, 1195 (1989). 10.1103/PhysRevLett.63.1195
33. J. W. Loram, K. A. Mirza, J. R. Cooper, and W. Y. Liang, Phys. Rev. Lett. 71, 1740 (1993). 10.1103/PhysRevLett.71.1740
34. T. Matsuzaki, N. Momono, M. Oda, and M. Ido, J. Phys. Soc. Jpn. 73, 2232 (2004). 10.1143/JPSJ.73.2232
35. V. Aji and C. M. Varma, Phys. Rev. B 75, 224511 (2007). 10.1103/PhysRevB.75.224511