Nonperturbative renormalization group approach to the Bose-Hubbard model

Physical Review B - Condensed Matter and Materials Physics

Volumn 83, Issue 17, 2011, Pages

  Rancon A ^a   Dupuis, N ^a  

^a UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79961114027     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.83.172501     Document Type: Article

References (29)

1. J. Berges, N. Tetradis, and C. Wetterich, Phys. Rep. 0370-1573 10.1016/S0370-1573(01)00098-9 363, 223 (2002).
2. B. Delamotte, e-print arXiv: cond-mat/0702365.
3. T. Machado and N. Dupuis, Phys. Rev. E 1539-3755 10.1103/PhysRevE.82. 041128 82, 041128 (2010).
4. M. P. A. Fisher, P. B. Weichman, G. Grinstein, and D. S. Fisher, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.40.546 40, 546 (1989).
5. C. Wetterich, Phys. Lett. B PYLBAJ 0370-2693 10.1016/0370-2693(93)90726-X 301, 90 (1993).
6. K. Sheshadri, H. R. Krishnamurthy, R. Pandit, and T. V. Ramakrishnan, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/22/4/004 22, 257 (1993);
7. D. van Oosten, P. van der Straten, and H. T. C. Stoof, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.053601 63, 053601 (2001).
8. K. Sengupta and N. Dupuis, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.033629 71, 033629 (2005). (Pubitemid 40648534)
9. Y. Ohashi, M. Kitaura, and H. Matsumoto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.033617 73, 033617 (2006).
10. C. Menotti and N. Trivedi, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.77.235120 77, 235120 (2008).
11. J. K. Freericks and H. Monien, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.53.2691 53, 2691 (1996);
12. P. Buonsante and A. Vezzani, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.013614 72, 013614 (2005); (Pubitemid 41492546)
13. W. Koller and N. Dupuis, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/18/41/019 18, 9525 (2006); (Pubitemid 44508556)
14. J. K. Freericks, H. R. Krishnamurthy, Y. Kato, N. Kawashima, and N. Trivedi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.79.053631 79, 053631 (2009);
15. F. E. A. dos Santos and A. Pelster, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.79.013614 79, 013614 (2009);
16. N. Teichmann, D. Hinrichs, M. Holthaus, and A. Eckardt, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.79.100503 79, 100503 (2009);
17. M. Knap, E. Arrigoni, and W. von der Linden, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.81.024301 81, 024301 (2010).
18. N. Dupuis and K. Sengupta, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/80/50007 80, 50007 (2007);
19. C. Wetterich, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.77.064504 77, 064504 (2008);
20. S. Floerchinger and C. Wetterich, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.053603 77, 053603 (2008). (Pubitemid 351669587)
21. N. Dupuis, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102. 190401 102, 190401 (2009);
22. N. Dupuis, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.043627 80, 043627 (2009).
23. A. Sinner, N. Hasselmann, and P. Kopietz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.120601 102, 120601 (2009);
24. A. Sinner, N. Hasselmann, and P. Kopietz, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82.063632 82, 063632 (2010).
25. Note that with the parametrizations (6)-(8), the flow equations are the same as those derived in Ref. (see, in particular, Appendix C in the second paper) but with different initial conditions.
26. B. Capogrosso-Sansone, S. G. Söyler, N. Prokof'ev, and B. Svistunov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.015602 77, 015602 (2008). (Pubitemid 351197996)
27. J.-P. Blaizot, A. Ipp, and N. Wschebor, Nucl. Phys. A NUPABL 0375-9474 10.1016/j.nuclphysa.2010.10.007 849, 165 (2011).
28. N. Dupuis, Phys. Rev. E 1539-3755 10.1103/PhysRevE.83.031120 83, 031120 (2011).
29. Campostrini M. Hasenbusch M. Pelissetto A. Rossi P. Vicari E., Phys. Rev. B, 2001