Cluster dynamical mean field theory of quantum phases on a honeycomb lattice

Physical Review B - Condensed Matter and Materials Physics

Volumn 86, Issue 4, 2012, Pages

  He, Rong Qiang ^a   Lu, Zhong Yi ^a  

^a RENMIN UNIVERSITY OF CHINA   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84863710647     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.86.045105     Document Type: Article

References (39)

1. Understanding Quantum Phase Transitions, edited by L. D. Carr (CRC, Boca Raton, 2011);
2. S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, England, 2000).
3. N. F. Mott and R. Peierls, Proc. R. Soc. London Ser. A PPSOAU 0370-1328 10.1088/0959-5309/49/4S/308 49, 72 (1937);
4. F. Gebhard, The Mott Metal-Insulator Transition: Models and Methods (Springer, New York, 1997).
5. P. W. Anderson, Mater. Res. Bull. MRBUAC 0025-5408 10.1016/0025-5408(73) 90167-0 8, 153 (1973);
6. P. Fazekas and P. W. Anderson, Philos. Mag. 1478-6435 10.1080/14786439808206568 30, 423 (1974).
7. L. Balents, Nature (London) NATUAS 0028-0836 10.1038/nature08917 464, 199 (2010).
8. P. W. Anderson, Science SCIEAS 0036-8075 10.1126/science.235.4793.1196 235, 1196 (1987).
9. Z. Y. Meng, T. C. Lang, S. Wessel, F. F. Assaad, and A. Muramatsu, Nature (London) NATUAS 0028-0836 10.1038/nature08942 464, 847 (2010).
10. S. Sorella and E. Tosatti, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/19/8/007 19, 699 (1992);
11. T. Paiva, R. T. Scalettar, W. Zheng, R. R. P. Singh, and J. Oitmaa, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.72.085123 72, 085123 (2005). (Pubitemid 43406045)
12. F. Wang, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.82.024419 82, 024419 (2010);
13. Y. M. Lu and Y. Ran, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.84. 024420 84, 024420 (2011);
14. B. K. Clark, D. A. Abanin, and S. L. Sondhi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.087204 107, 087204 (2011);
15. C. Xu, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.024408 83, 024408 (2011).
16. W. Wu, Y.-H. Chen, H.-Sh. Tao, N.-H. Tong, and W.-M. Liu, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.82.245102 82, 245102 (2010);
17. A. Liebsch, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.035113 83, 035113 (2011).
18. S. A. Jafari, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2009-00128-1 68, 537 (2009);
19. M. T. Tran and K. Kuroki, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.79.125125 79, 125125 (2009).
20. A. Georges, G. Kotliar, W. Krauth, and M. Rozenberg, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.68.13 68, 13 (1996);
21. G. Kotliar and D. Vollhardt, Phys. Today PHTOAD 0031-9228 10.1063/1.1712502 57 (3), 53 (2004).
22. S. Moukouri and M. Jarrell, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.167010 87, 167010 (2001).
23. G. Kotliar, S. Y. Savrasov, G. Palsson, and G. Biroli, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.186401 87, 186401 (2001).
24. T. Maier, M. Jarrell, T. Pruschke, and M. Hettler, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.77.1027 77, 1027 (2005). (Pubitemid 43272529)
25. M. Caffarel and W. Krauth, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.72.1545 72, 1545 (1994).
26. C. A. Perroni, H. Ishida, and A. Liebsch, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.75.045125 75, 045125 (2007).
27. V. Hernandez, J. E. Roman, and V. Vidal, ACM Trans. Math. Softw. ACMSCU 0098-3500 10.1145/1089014.1089019 31, 351 (2005);
28. J. E. Roman, E. Romero, and A. Tomas, slepc home page: http://www.grycap.upv.es/slepc, 2010.
29. We rewrote the code from scratch in a fully parallel computing structure to exploit the parallel framework of slepc and meanwhile be able to incorporate a variety of cluster-impurity model configurations.
30. V. I. Anisimov, A. I. Poteryaev, M. A. Korotin, A. O. Anokhin, and G. Kotliar, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/9/35/010 9, 7359 (1997).
31. - 5 t is set for a small U and 0.005 t for a large U.
32. H. J. Vidberg and J. W. Serene, J. Low Temp. Phys. JLTPAC 0022-2291 10.1007/BF00655090 29, 179 (1977).
33. E. H. Lieb and F. Y. Wu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.20.1445 20, 1445 (1968).
34. H. J. Schulz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.64. 2831 64, 2831 (1990).
35. C. Honerkamp, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100. 146404 100, 146404 (2008); (Pubitemid 351535529)
36. S. Raghu, X.-L. Qi, C. Honerkamp, and S.-C. Zhang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.156401 100, 156401 (2008). (Pubitemid 351549477)
37. I. F. Herbut, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97. 146401 97, 146401 (2006). (Pubitemid 44498323)
38. R.-Q. He and Z.-Y. Lu (unpublished).
39. W. F. Brinkman and T. M. Rice, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.2.4302 2, 4302 (1970).