Flat-band ferromagnetism as a pauli-correlated percolation problem

Physical Review Letters

Volumn 109, Issue 9, 2012, Pages

  Maksymenko, M ^a,b   Honecker, A ^c   Moessner, R ^b   Richter, J ^d   Derzhko, O ^a  

^a INSTITUTE FOR CONDENSED MATTER PHYSICS   (Ukraine)

^b MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

^c UNIVERSITY OF GÖTTINGEN   (Germany)

^d OTTO VON GUERICKE UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

DISPERSIONLESS; EXACT SOLUTION; FERROMAGNETIC PHASE; FIRST-ORDER; FLAT-BAND FERROMAGNETISM; INTERACTING ELECTRONS; NUMERICAL ALGORITHMS; PARAMAGNETIC PHASE; PERCOLATION PROBLEMS; TWO-DIMENSION;

ALGORITHMS; FERROMAGNETISM; PARAMAGNETISM;

SOLVENTS;

EID: 84865612760     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.109.096404     Document Type: Article

References (35)

1. W. Heisenberg, Z. Phys. ZEPYAA 0044-3328 38, 411 (1926); 10.1007/BF01397160
2. W. Heisenberg Z. Phys. 49, 619 (1928). ZEPYAA 0044-3328 10.1007/BF01328601
3. A. Mielke, J. Phys. A 24, L73 (1991); JPHAC5 0305-4470 10.1088/0305-4470/24/2/005
4. A. Mielke J. Phys. A 24, 3311 (1991); JPHAC5 0305-4470 10.1088/0305-4470/24/14/018
5. A. Mielke J. Phys. A 25, 4335 (1992); JPHAC5 0305-4470 10.1088/0305-4470/25/16/011
6. A. Mielke Phys. Lett. A 174, 443 (1993). PYLAAG 0375-9601 10.1016/0375-9601(93)90207-G
7. H. Tasaki, Phys. Rev. Lett. 69, 1608 (1992). PRLTAO 0031-9007 10.1103/PhysRevLett.69.1608
8. A. Mielke and H. Tasaki, Commun. Math. Phys. 158, 341 (1993). CMPHAY 0010-3616 10.1007/BF02108079
9. T. Okubo, M. Yamada, A. Thamizhavel, S. Kirita, Y. Inada, R. Settai, H. Harima, K. Takegahara, A. Galatanu, E. Yamamoto, and Y. Onuki, J. Phys. Condens. Matter 15, L721 (2003); JCOMEL 0953-8984 10.1088/0953-8984/15/46/L02
10. Z. Gulácsi, A. Kampf, and D. Vollhardt, Prog. Theor. Phys. Suppl. 176, 1 (2008). PTPSEP 0375-9687 10.1143/PTPS.176.1
11. O. Derzhko, A. Honecker, and J. Richter, Phys. Rev. B 76, 220402(R) (2007). PRBMDO 1098-0121 10.1103/PhysRevB.76.220402
12. O. Derzhko, J. Richter, A. Honecker, M. Maksymenko, and R. Moessner, Phys. Rev. B 81, 014421 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.81.014421
13. D.N. Sheng, Z.-C. Gu, K. Sun, and L. Sheng, Nature Commun. 2, 389 (2011); NCAOBW 2041-1723 10.1038/ncomms1380
14. K. Sun, Z. Gu, H. Katsura, and S. Das Sarma, Phys. Rev. Lett. 106, 236803 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.106.236803
15. H. Katsura, I. Maruyama, A. Tanaka, and H. Tasaki, Europhys. Lett. 91, 57007 (2010). EULEEJ 0295-5075 10.1209/0295-5075/91/57007
16. C. Wu, D. Bergman, L. Balents, and S. Das Sarma, Phys. Rev. Lett. 99, 070401 (2007); PRLTAO 0031-9007 10.1103/PhysRevLett.99.070401 (Pubitemid 47294599)
17. Y.-F. Wang, Z.-C. Gu, C.-D. Gong, and D.N. Sheng, Phys. Rev. Lett. 107, 146803 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.146803
18. E. Tang, J.-W. Mei, and X.-G. Wen, Phys. Rev. Lett. 106, 236802 (2011); PRLTAO 0031-9007 10.1103/PhysRevLett.106.236802
19. J. Schulenburg, A. Honecker, J. Schnack, J. Richter, and H.-J. Schmidt, Phys. Rev. Lett. 88, 167207 (2002); PRLTAO 0031-9007 10.1103/PhysRevLett.88. 167207
20. J. Richter, O. Derzhko, and J. Schulenburg, Phys. Rev. Lett. 93, 107206 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.93.107206
21. Z. Gulácsi, A. Kampf, and D. Vollhardt, Phys. Rev. Lett. 105, 266403 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.266403
22. T. Neupert, L. Santos, C. Chamon, and C. Mudry, Phys. Rev. Lett. 106, 236804 (2011); PRLTAO 0031-9007 10.1103/PhysRevLett.106.236804
23. T. Neupert, L. Santos, S. Ryu, C. Chamon, and C. Mudry, Phys. Rev. Lett. 108, 046806 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.046806
24. D. Stauffer, Phys. Rep. 54, 1 (1979). PRPLCM 0370-1573 10.1016/0370-1573(79)90060-7
25. M.B. Isichenko, Rev. Mod. Phys. 64, 961 (1992). RMPHAT 0034-6861 10.1103/RevModPhys.64.961
26. J. Hoshen and R. Kopelman, Phys. Rev. B 14, 3438 (1976). PLRBAQ 0556-2805 10.1103/PhysRevB.14.3438
27. M.E.J. Newman and R.M. Ziff, Phys. Rev. Lett. 85, 4104 (2000); PRLTAO 0031-9007 10.1103/PhysRevLett.85.4104 (Pubitemid 32020578)
28. M.E.J. Newman R.M. Ziff Phys. Rev. E 64, 016706 (2001). PLEEE8 1063-651X 10.1103/PhysRevE.64.016706
29. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.109.096404 for a summary of the Tasaki-Hubbard model, its relation to Pauli-correlated percolation, and details of the exact solution in one dimension.
30. K. Hukushima and K. Nemoto, J. Phys. Soc. Jpn. 65, 1604 (1996). JUPSAU 0031-9015 10.1143/JPSJ.65.1604
31. J. Chalupa, P.L. Leath, and G.R. Reich, J. Phys. C 12, L31 (1979). JPSOAW 0022-3719 10.1088/0022-3719/12/1/008
32. A. Weinrib, Phys. Rev. B 29, 387 (1984). PRBMDO 0163-1829 10.1103/PhysRevB.29.387
33. M. Maksymenko (to be published).
34. V. Apaja, M. Hyrkäs, and M. Manninen, Phys. Rev. A 82, 041402(R) (2010); PLRAAN 1050-2947 10.1103/PhysRevA.82.041402
35. M. Hyrkäs, V. Apaja, and M. Manninen, arXiv:1201.0468.