Magnetism and d -wave superconductivity on the half-filled square lattice with frustration

Physical Review B - Condensed Matter and Materials Physics

Volumn 77, Issue 6, 2008, Pages

  Nevidomskyy, Andriy H ^a,c   Scheiber, Christian ^b   Sénéchal, David ^a   Tremblay, A M S ^a  

^a UNIVERSITÉ DE SHERBROOKE   (Canada)

^b GRAZ UNIVERSITY OF TECHNOLOGY   (Austria)

^c RUTGERS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 40949089109     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.77.064427     Document Type: Article

References (54)

1. For an introduction to frustrated magnets, see R. Moessner, Can. J. Phys. CJPHAD 0008-4204 10.1139/cjp-79-11-12-1283 79, 1283 (2001).
2. J. G. Bednorz and K. A. Muller, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 10.1007/BF01303701 64, 189 (1986).
3. Y. Taguchi, Y. Oohara, H. Yoshizawa, N. Nagaosa, and Y. Tokura, Science SCIEAS 0036-8075 10.1126/science.1058161 291, 2573 (2001).
4. K. Takada, H. Sakurai, E. Takayama-Muromachi, F. Izumi, R. A. Dilanian, and T. Sasaki, Nature (London) NATUAS 0028-0836 10.1038/nature01450 422, 53 (2003).
5. S. Lefebvre, P. Wzietek, S. Brown, C. Bourbonnais, D. Jerome, C. Meziere, M. Fourmigue, and P. Batail, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.5420 85, 5420 (2000).
6. Y. Kurosaki, Y. Shimizu, K. Miyagawa, K. Kanoda, and G. Saito, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.177001 95, 177001 (2005).
7. G. R. Blake, L. C. Chapon, P. G. Radaelli, S. Park, N. Hur, S. W. Cheong, and J. Rodriguez-Carvajal, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71. 214402 71, 214402 (2005).
8. P. W. Anderson, Science SCIEAS 0036-8075 10.1126/science.235.4793.1196 235, 1196 (1987).
9. M. B. Maple, Physica B PHYBE3 0921-4526 10.1016/0921-4526(95)00031-4 215, 110 (1995).
10. P. Gegenwart, Q. Si, and F. Steglich, arXiv:0712.2045 (unpublished).
11. D. Goldschmidt, A. K. Klehe, J. S. Schilling, and Y. Eckstein, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.53.14631 53, 14631 (1996).
12. X. J. Chen, V. V. Struzhkin, R. J. Hemley, H. K. Mao, and C. Kendziora, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.214502 70, 214502 (2004).
13. M. Potthoff, M. Aichhorn, and C. Dahnken, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.206402 91, 206402 (2003).
14. D. Sénéchal, P.-L. Lavertu, M.-A. Marois, and A.-M. S. Tremblay, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.156404 94, 156404 (2005).
15. M. Aichhorn and E. Arrigoni, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2005-10192-1 72, 117 (2005).
16. M. Aichhorn, E. Arrigoni, M. Potthoff, and W. Hanke, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.76.224509 76, 224509 (2007).
17. A. Georges, G. Kotliar, W. Krauth, and M. J. Rozenberg, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.68.13 68, 13 (1996).
18. G. Kotliar, S. Y. Savrasov, G. Palsson, and G. Biroli, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.186401 87, 186401 (2001).
19. M. H. Hettler, A. N. Tahvildar-Zadeh, M. Jarrell, T. Pruschke, and H. R. Krishnamurthy, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.58.R7475 58, R7475 (1998).
20. S. S. Kancharla, B. Kyung, D. Sénéchal, M. Civelli, M. Capone, G. Kotliar, and A.-M. S. Tremblay, arXiv:cond-mat/0508205 (unpublished).
21. T. A. Maier, M. Jarrell, T. C. Schulthess, P. R. C. Kent, and J. B. White, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.237001 95, 237001 (2005).
22. P. Sahebsara and D. Sénéchal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.257004 97, 257004 (2006).
23. B. Kyung and A. M. S. Tremblay, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.046402 97, 046402 (2006).
24. H. Yokoyama, M. Ogata, and Y. Tanaka, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.75.114706 75, 114706 (2006).
25. T. Mizusaki and M. Imada, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.74.014421 74, 014421 (2006).
26. E. Shender, Sov. Phys. JETP SPHJAR 0038-5646 56, 178 (1982).
27. P. Chandra and B. Doucot, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.38.9335 38, 9335 (1988).
28. For a review, see G. Misguich and C. Lhuillier, in Frustrated Spin Systems, edited by, H. T. Diep, (World Scientific, Singapore, 2005).
29. A. Auerbach, Interacting Electrons and Quantum Magnetism (Springer-Verlag, New York, 1994), Chap..
30. J.-Y. P. Delannoy, M. J. P. Gingras, P. C. W. Holdsworth, and A.-M. S. Tremblay (unpublished).
31. J. Y. P. Delannoy, M. J. P. Gingras, P. C. W. Holdsworth, and A. M. S. Tremblay, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.115114 72, 115114 (2005).
32. T. Maier, M. Jarrell, T. Pruschke, and M. H. Hettler, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.77.1027 77, 1027 (2005).
33. A. M. S. Tremblay, B. Kyung, and D. Sénéchal, Low Temp. Phys. LTPHEG 1063-777X 10.1063/1.2199446 32, 424 (2006).
34. M. Potthoff, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2003-00121-8 32, 429 (2003).
35. M. Potthoff, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2003-00352-7 36, 335 (2003).
36. M. Aichhorn, E. Arrigoni, M. Potthoff, and W. Hanke, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.74.024508 74, 024508 (2006).
37. R. Freund, in Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide, edited by, Z. Bai,,, J. Demmel,,, J. Dongarra,,, A. Ruhe,, and, H. van der Vorst, (SIAM, Philadelphia, 2000).
38. M. Aichhorn, E. Arrigoni, M. Potthoff, and W. Hanke, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.74.235117 74, 235117 (2006).
39. S. R. Hassan, B. Davoudi, B. Kyung, and A.-M. S. Tremblay, Phys. Rev. B (to be published 1 February 2008).
40. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C++: The Art of Scientific Computing (Cambridge University Press, Cambridge, England, 2002), Chap..
41. W. Hofstetter and D. Vollhardt, Ann. Phys. ANPYA2 0003-3804 10.1002/(SICI)1521-3889(199811)7:5/6<483::AID-ANDP483>3.0.CO;2-U 7, 48 (1998).
42. M. Imada and T. Kashima, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.69.2723 69, 2723 (2000);
43. T. Kashima and M. Imada, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.70.2287 70, 2287 (2001).
44. H. J. Schulz and T. A. L. Ziman, Europhys. Lett. EULEEJ 0295-5075 18, 355 (1992);
45. T. Einarsson and H. J. Schulz, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.51.6151 51, 6151 (1995).
46. O. Parcollet, G. Biroli, and G. Kotliar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.226402 92, 226402 (2004).
47. A. Damascelli, Z. Hussain, and Z.-X. Shen, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.75.473 75, 473 (2003).
48. B. Kyung (private communication).
49. B. Kyung, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.75.033102 75, 033102 (2007).
50. M. Vekić and S. R. White, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.47.1160 47, 1160 (1993).
51. T. Senthil, A. Vishwanath, L. Balents, S. Sachdev, and M. P. A. Fisher, Science SCIEAS 0036-8075 10.1126/science.1091806 303, 1490 (2004);
52. T. Senthil, Leon Balents, Subir Sachdev, Ashvin Vishwanath, and Matthew P. A. Fisher, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.144407 70, 144407 (2004).
53. T. Cuk, V. Struzhkin, T. P. Devereaux, A. Goncharov, C. Kendziora, H. Eisaki, H. Mao, and Z. X. Shen, arXiv:0801.2772 (unpublished).
54. J. Mraz and R. Hlubina, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.67.174518 67, 174518 (2003).