Spatially inhomogeneous phase in the two-dimensional repulsive Hubbard model

Physical Review B - Condensed Matter and Materials Physics

Volumn 78, Issue 16, 2008, Pages

  Chang, Chia Chen ^a   Zhang, Shiwei ^a  

^a The College of William and Mary   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 54449083575     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.78.165101     Document Type: Article

References (40)

1. J. Hubbard, Proc. R. Soc. London, Ser. A 276, 283 (1963). 0080-4630
2. P. W. Anderson, Science SCIEAS 0036-8075 10.1126/science.235.4793.1196 235, 1196 (1987).
3. E. Dagotto, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.66.763 66, 763 (1994).
4. D. J. Scalapino, J. Low Temp. Phys. JLTPAC 0022-2291 10.1007/BF00754933 95, 169 (2004).
5. J. M. Tranquada, B. J. Sternlieb, J. D. Axe, Y. Nakamura, and S. Uchida, Nature (London) NATUAS 0028-0836 10.1038/375561a0 375, 561 (1995)
6. M. Vershinin, S. Misra, S. Ono, Y. Abe, Y. Ando, and A. Yazdani, Science SCIEAS 0036-8075 10.1126/science.1093384 303, 1995 (2004)
7. K. McElroy, D.-H. Lee, J. E. Hoffman, K. M. Lang, J. Lee, E. W. Hudson, H. Eisaki, S. Uchida, and J. C. Davis, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.197005 94, 197005 (2005).
8. V. J. Emery, S. A. Kivelson, and H. Q. Lin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.64.475 64, 475 (1990).
9. C. S. Hellberg and E. Manousakis, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.4609 78, 4609 (1997)
10. C. S. Hellberg and E. Manousakis, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.61.11787 61, 11787 (2000).
11. A. Moreo, D. Scalapino, and E. Dagotto, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.43.11442 43, 11442 (1991).
12. H. Q. Lin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.44.7151 44, 7151 (1991).
13. F. Becca, M. Capone, and S. Sorella, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.62.12700 62, 12700 (2000).
14. A. C. Cosentini, M. Capone, L. Guidoni, and G. B. Bachelet, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.58.R14685 58, R14685 (1998).
15. R. Zitzler, Th. Pruschke, and R. Bulla, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2002-00180-3 27, 473 (2002).
16. A. Macridin, M. Jarrell, and Th. Maier, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.74.085104 74, 085104 (2006).
17. M. Aichhorn, E. Arrigoni, M. Potthoff, and W. Hanke, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.76.224509 76, 224509 (2007).
18. S. Zhang, J. Carlson, and J. E. Gubernatis, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.55.7464 55, 7464 (1997)
19. J. Carlson, J. E. Gubernatis, G. Ortiz, and Shiwei Zhang, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.59.12788 59, 12788 (1999).
20. S. Zhang and H. Krakauer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.136401 90, 136401 (2003).
21. M. Lewenstein, A. Sanpera, V. Ahufinger, B. Damski, A. Sen, and U. Sen, Adv. Phys. ADPHAH 0001-8732 10.1080/00018730701223200 56, 243 (2007).
22. A tilted lattice (Ref.) gives a closed shell at a small h, but leaves a large gap before the next closed-shell filling.
23. D. Poilblanc, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.44.9562 44, 9562 (1991).
24. C. Gros, Z. Phys. B: Condens. Matter ZPCMDN 0722-3277 10.1007/BF01323728 86, 359 (1992)
25. C. Gros, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.53.6865 53, 6865 (1996).
26. C. Lin, F. H. Zong, and D. M. Ceperley, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.016702 64, 016702 (2001).
27. S. Zhang and M. H. Kalos, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.67.3074 67, 3074 (1991).
28. Shiwei Zhang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83. 2777 83, 2777 (1999).
29. J. E. Hirsch, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.31.4403 31, 4403 (1985).
30. W. Purwanto and S. Zhang, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.056702 70, 056702 (2004)
31. W. Purwanto and S. Zhang, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.053610 72, 053610 (2005).
32. W. A. Al-Saidi, Shiwei Zhang, and Henry Krakauer, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2200885 124, 224101 (2006)
33. W. A. Al-Saidi, Shiwei Zhang, and Henry Krakauer, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2770707 127, 144101 (2007).
34. M. Suewattana, Wirawan Purwanto, Shiwei Zhang, Henry Krakauer, and Eric J. Walter, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.75.245123 75, 245123 (2007).
35. H. Kwee, Shiwei Zhang, and Henry Krakauer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.126404 100, 126404 (2008).
36. N. Furukawa and H. Imada, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.61.3331 61, 3331 (1992).
37. S. Zhang, J. Carlson, and J. E. Gubernatis, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.3652 74, 3652 (1995).
38. J. E. Hirsch and S. Tang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.62.591 62, 591 (1989).
39. S. Sorella (private communication).
40. Note that this is below what the fit in Eq. 5 extrapolates to: efit (1) =-0.844, consistent with phase separation.