Finite-size scaling for quantum criticality above the upper critical dimension: Superfluid-Mott-insulator transition in three dimensions

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 81, Issue 1, 2010, Pages

  Kato, Yasuyuki ^a   Kawashima, Naoki ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

BOSE HUBBARD MODEL; CRITICAL BEHAVIOR; CRITICAL PHENOMENON; DYNAMICAL CRITICAL EXPONENT; FINITE SIZE SCALING; FIXED TEMPERATURE; LARGE SYSTEM; MEAN-FIELD; QUANTUM CRITICALITY; QUANTUM MONTE CARLO SIMULATIONS; QUANTUM PHASE TRANSITIONS; SUPERFLUID-MOTT-INSULATOR TRANSITION; THREE DIMENSIONS; UPPER CRITICAL DIMENSION;

COMPUTER SIMULATION; HUBBARD MODEL; MONTE CARLO METHODS;

PHASE TRANSITIONS;

EID: 76149103896     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.81.011123     Document Type: Article

References (21)

1. M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, and I. Bloch, Nature (London) 415, 39 (2002). 10.1038/415039a
2. Y. Kato, Q. Zhou, N. Kawashima, and N. Trivedi, Nat. Phys. 4, 617 (2008). 10.1038/nphys983
3. D. Jaksch, C. Bruder, J. I. Cirac, C. W. Gardiner, and P. Zoller, Phys. Rev. Lett. 81, 3108 (1998). 10.1103/PhysRevLett.81.3108
4. M. P. A. Fisher, P. B. Weichman, G. Grinstein, and D. S. Fisher, Phys. Rev. B 40, 546 (1989). 10.1103/PhysRevB.40.546
5. B. Capogrosso-Sansone, N. V. Prokof'ev, and B. V. Svistunov, Phys. Rev. B 75, 134302 (2007). 10.1103/PhysRevB.75.134302
6. N. Kawashima and Y. Kato, J. Phys.: Conf. Ser. 143, 012012 (2009). 10.1088/1742-6596/143/1/012012
7. K. Binder, M. Nauenberg, V. Privman, and A. P. Young, Phys. Rev. B 31, 1498 (1985). 10.1103/PhysRevB.31.1498
8. J. G. Brankov, D. M. Danchev, and N. S. Tonchev, Theory of Critical Phenomena in Finite-Size Systems Scaling and Quantum Effects (World Scientific, Singapore, 2000), Chap..
9. E. Luijten, K. Binder, and H. W. J. Blöte, Eur. Phys. J. B 9, 289 (1999). 10.1007/s100510050768
10. J. L. Jones and A. P. Young, Phys. Rev. B 71, 174438 (2005). 10.1103/PhysRevB.71.174438
11. S. Singh and R. K. Pathria, Phys. Rev. B 38, 2740 (1988). 10.1103/PhysRevB.38.2740
12. X. S. Chen and V. Dohm, Eur. Phys. J. B 5, 529 (1998). 10.1007/s100510050474
13. J. Šmakov and E. Sørensen, Phys. Rev. Lett. 95, 180603 (2005). 10.1103/PhysRevLett.95.180603
14. J. Zhao, A. W. Sandvik, and K. Ueda, e-print arXiv:0806.3603.
15. K. Binder and J.-S. Wang, J. Stat. Phys. 55, 87 (1989). 10.1007/BF01042592
16. M. Zannetti, Phys. Rev. B 22, 5267 (1980). 10.1103/PhysRevB.22.5267
17. L. D. Cesare, Nuovo Cimento D 1, 289 (1982). 10.1007/BF02450928
18. Y. Kato, T. Suzuki, and N. Kawashima, Phys. Rev. E 75, 066703 (2007). 10.1103/PhysRevE.75.066703
19. Y. Kato and N. Kawashima, Phys. Rev. E 79, 021104 (2009). 10.1103/PhysRevE.79.021104
20. E. L. Pollock and D. M. Ceperley, Phys. Rev. B 36, 8343 (1987). 10.1103/PhysRevB.36.8343
21. S. Singh and R. K. Pathria, Phys. Rev. B 34, 2045 (1986). 10.1103/PhysRevB.34.2045