Delocalization effect of the Hubbard repulsion in exact terms and two dimensions

Physical Review B - Condensed Matter and Materials Physics

Volumn 77, Issue 24, 2008, Pages

  Gulácsi, Zsolt ^a  

^a UNIVERSITY OF DEBRECEN   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 45249094480     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.77.245113     Document Type: Article

References (30)

1. D. Vollhardt, in Perspectives in Many-Particle Physics, Proceedings of the CXXI Enrico Fermi International School, Varenna, 1992 (North-Holland, Amsterdam, 1994), p. 31.
2. A. Garg, H. R. Krishnamurthy, and M. Randeria, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.046403 97, 046403 (2006).
3. N. Paris, K. Bouadim, F. Hebert, G. G. Batrouni, and R. T. Scalettar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.046403 98, 046403 (2007).
4. S. S. Kancharla and E. Dagotto, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.016402 98, 016402 (2007).
5. S. V. Kravchenko and M. P. Sarachik, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/67/1/R01 67, 1 (2004).
6. F. Gebhard, The Mott Metal-Insulator Transition, Models, and Methods, Springer Tracts in Modern Physics, Vol. 137 (Springer-Verlag, Berlin, 1997), p. 5.
7. Z. Gulácsi, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69. 054204 69, 054204 (2004).
8. R. Resta and S. Sorella, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.370 82, 370 (1999).
9. M. Kollar, R. Strack, and D. Vollhardt, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.53.9225 53, 9225 (1996).
10. R. B. Laughlin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.50. 1395 50, 1395 (1983).
11. Z. Gulácsi, A. Kampf, and D. Vollhardt, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.026404 99, 026404 (2007).
12. R. Moessner and A. Ramirez, Phys. Today 59 (2), 24 (2006). 0031-9228
13. Z. Gulácsi and D. Vollhardt, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.186401 91, 186401 (2003).
14. Z. Gulácsi and D. Vollhardt, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.075130 72, 075130 (2005).
15. Z. Gulácsi and M. Gulácsi, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.73.014524 73, 014524 (2006).
16. J. Cai and G. D. Mahan, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.76.205116 76, 205116 (2007).
17. Z. Gulácsi and I. Orlik, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/34/24/102 34, L359 (2001).
18. P. Gurin and Z. Gulácsi, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.64.045118 64, 045118 (2001).
19. Z. Gulácsi, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66. 165109 66, 165109 (2002).
20. K. Held, C. Huscroft, R. T. Scalettar, and A. K. McMahan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.373 85, 373 (2000).
21. C. Huscroft, A. K. McMahan, and R. T. Scalettar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.2342 82, 2342 (1999).
22. P. S. Riseborough, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68. 235213 68, 235213 (2003).
23. Z. Gulácsi, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2002- 00382-7 30, 295 (2002)
24. I. Orlik and Z. Gulácsi, Philos. Mag. Lett. PMLEEG 0950-0839 10.1080/095008398178174 78, 177 (1998).
25. C. Sen, G. Alvarez, and E. Dagotto, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.064428 70, 064428 (2004).
26. The total number of these operators is 4 L2.
27. Segment means here a linear combination of D†, F† operators taken along a finite straight line segment.
28. Note that O (4L) operators B†, B=D,F are present in a W† operator, and all coefficients in Eq. 17 have roughly the same order of magnitude fixed by y0.
29. For mathematical simplicity, λ2 =-1/ λ1 (e.g., opposite spins in v=1,2) has been considered during the numerical calculation based on Eq. (25) of Fig. 8. Taking other (λ1, λ2), the plot qualitatively remain the same.
30. P. Nozieres, Ann. Phys. (Paris) ANPHAJ 0003-4169 10.1051/anphys: 0198500100101900 10, 19 (1985).