Quantum disordered ground state for hard-core bosons on the frustrated square lattice

Physical Review B - Condensed Matter and Materials Physics

Volumn 83, Issue 17, 2011, Pages

  Kalz, Ansgar ^a   Honecker, Andreas ^a   Fuchs, Sebastian ^a   Pruschke, Thomas ^a  

^a UNIVERSITY OF GÖTTINGEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79961112011     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.83.174519     Document Type: Article

References (50)

1. G. Misguich and C. Lhuillier, in Frustrated Spin Systems, edited by, H. T. Diep, Chap. 5 (World Scientific, Singapore, 2005).
2. C. Lacroix, P. Mendels, and, F. Mila, eds., Introduction to Frustrated Magnetism, 1st ed., Springer Series in Solid-State Sciences, Vol. 164 (Springer, Berlin, 2011).
3. L. Capriotti, F. Becca, A. Parola, and S. Sorella, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.67.212402 67, 212402 (2003).
4. J. Richter, J. Schulenburg, and A. Honecker, in Quantum Magnetism, Lecture Notes in Physics, Chap. 2, edited by, U. Schollwöck, J. Richter, D. J. J. Farnell, and, R. F. Bishop, Vol. 645 (Springer, Berlin, 2004), p. 85.
5. M. Mambrini, A. Läuchli, D. Poilblanc, and F. Mila, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.74.144422 74, 144422 (2006). (Pubitemid 44631176)
6. R. F. Bishop, P. Li, R. Darradi, and J. Richter, J. Phys. Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/20/25/255251 20, 255251 (2008). (Pubitemid 351777644)
7. A. Ralko, M. Mambrini, and D. Poilblanc, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.80.184427 80, 184427 (2009).
8. J. Richter, R. Darradi, J. Schulenburg, D. J. J. Farnell, and H. Rosner, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.81.174429 81, 174429 (2010).
9. J. Richter and J. Schulenburg, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2009-00400-4 73, 117 (2010).
10. G. G. Batrouni and R. T. Scalettar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.1599 84, 1599 (2000).
11. F. Hébert, G. G. Batrouni, R. T. Scalettar, G. Schmid, M. Troyer, and A. Dorneich, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.65.014513 65, 014513 (2001).
12. K. K. Ng and Y. C. Chen, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.77.052506 77, 052506 (2008).
13. Y. C. Chen, R. G. Melko, S. Wessel, and Y. J. Kao, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.77.014524 77, 014524 (2008).
14. D. P. Landau, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.21.1285 21, 1285 (1980).
15. K. Binder and D. P. Landau, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.21.1941 21, 1941 (1980).
16. D. P. Landau and K. Binder, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.31.5946 31, 5946 (1985).
17. J. L. Morán-López, F. Aguilera-Granja, and J. M. Sanchez, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.48.3519 48, 3519 (1993).
18. J. L. Morán-López, F. Aguilera-Granja, and J. M. Sanchez, J. Phys. Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/6/45/025 6, 9759 (1994).
19. A. Malakis, P. Kalozoumis, and N. Tyraskis, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2006-00032-2 50, 63 (2006).
20. A. Kalz, A. Honecker, S. Fuchs, and T. Pruschke, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2008-00359-6 65, 533 (2008).
21. A. Kalz, A. Honecker, S. Fuchs, and T. Pruschke, J. Phys.: Conf. Ser. EPJBFY 1742-6588 10.1088/1742-6596/145/1/012051 145, 012051 (2009).
22. F. Bloch, Z. Phys. 1434-6001 10.1007/BF01337791 74, 295 (1932).
23. G. Höhler, Ann. Phys. (Leipzig) ANPYA2 0003-3804 10.1002/andp.19504420110 442, 93 (1950).
24. T. Matsubara and H. Matsuda, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.16.569 16, 569 (1956).
25. K.-S. Liu and M. E. Fisher, J. Low Temp. Phys. JLTPAC 0022-2291 10.1007/BF00655458 10, 655 (1973).
26. D. P. Landau and K. Binder, Monte Carlo Simulations in Statistical Physics, 2nd ed. (Cambridge University Press, Cambridge, UK, 2005).
27. L. Balents, L. Bartosch, A. Burkov, S. Sachdev, and K. Sengupta, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.71.144508 71, 144508 (2005). (Pubitemid 41755471)
28. S. Wessel and M. Troyer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.127205 95, 127205 (2005). (Pubitemid 41505675)
29. D. Heidarian and K. Damle, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.127206 95, 127206 (2005). (Pubitemid 41505676)
30. R. G. Melko, A. Paramekanti, A. A. Burkov, A. Vishwanath, D. N. Sheng, and L. Balents, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.127207 95, 127207 (2005). (Pubitemid 41505677)
31. K. Suzuki and R. Okamoto, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.70.439 70, 439 (1983).
32. J. Oitmaa and Zheng Weihong, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.54.3022 54, 3022 (1996).
33. D. Handscomb, Proc. Cambridge Philos. Soc. MPCPCO 0305-0041 10.1017/S0305004100040639 58, 594 (1962).
34. A. W. Sandvik and J. Kurkijärvi, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.43.5950 43, 5950 (1991).
35. A. W. Sandvik, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/25/13/017 25, 3667 (1992).
36. O. F. Syljuåsen and A. W. Sandvik, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.66.046701 66, 046701 (2002). (Pubitemid 40606337)
37. F. Alet, S. Wessel, and M. Troyer, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.71.036706 71, 036706 (2005). (Pubitemid 40629742)
38. F. Alet, J. Phys. Soc. Jpn. 74, 30 (2005)
39. [http://jpsj.ipap.jp/link?JPSJS/74S/30/].
40. A. F. Albuquerque, J. Magn. Magn. Mater. JMMMDC 0304-8853 10.1016/j.jmmm.2006.10.304 310, 1187 (2007).
41. K. Hukushima and K. Nemoto, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.65.1604 65, 1604 (1996).
42. H. G. Katzgraber, S. Trebst, D. A. Huse, and M. Troyer, J. Stat. Mech.-Theory E JUPSAU 1742-5468 10.1088/1742-5468/2006/03/P03018 P03018 (2006).
43. R. G. Melko, J. Phys. Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/19/14/145203 19, 145203 (2007). (Pubitemid 46491387)
44. K. Binder, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.47.693 47, 693 (1981).
45. K. Binder, Z. Phys. B ZPCMDN 0722-3277 10.1007/BF01293604 43, 119 (1981).
46. E. L. Pollock and D. M. Ceperley, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.36.8343 36, 8343 (1987).
47. G. Misguich, C. Lhuillier, M. Mambrini, and P. Sindzingre, Eur. Phys. J. B 1434-6028 10.1140/epjb/e20020078 26, 167 (2002).
48. The code for the spinpack is available at [http://www.ovgu.de/jschulen/ spin].
49. K. Majumdar, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.82.144407 82, 144407 (2010).
50. A. W. Sandvik, S. Daul, R. R. P. Singh, and D. J. Scalapino, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.247201 89, 247201 (2002).