A Monte Carlo study of the three-dimensional XY universality class: Universal amplitude ratios

Journal of Statistical Mechanics: Theory and Experiment

Volumn 2008, Issue 12, 2008, Pages

  Hasenbusch, Martin ^a  

^a UNIVERSITY OF LEIPZIG   (Germany)

Author keywords

Classical Monte Carlo simulations; Classical phase transitions (theory); Critical exponents and amplitudes (theory)

Indexed keywords

EID: 65449126045     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2008/12/P12006     Document Type: Article

References (43)

1. Wilson K G and Kogut J 1974 The renormalization group and the ε-expansion Phys. Rep. C 12 75
2. Privman V, Hohenberg P C and Aharony A 1991 Universal critical-point amplitude ratios Phase Transitions and Critical Phenomena vol 14 ed C Domb and J L Lebowitz (New York: Academic)
3. Lipa J A, Swanson D R, Nissen J A, Chui T C P and Israelsson U E 1996 Heat capacity and thermal relaxation of bulk helium very near the λ-point Phys. Rev. Lett. 76 944 (Pubitemid 126618505)
4. Lipa J A, Nissen J A, Stricker D A, Swanson D R and Chui T C P 2003 Specific heat of liquid helium in zero gravity very near the λ-point Phys. Rev. B 68 74518 [arXiv:cond-mat/0310163]
5. Barmatz M, Hahn I, Lipa J A and Duncan R V 2007 Critical phenomena in microgravity: past, present, and future Rev. Mod. Phys. 79 1 (Pubitemid 46135266)
6. - J. Stat. Mech. P08019 [arXiv:cond-mat/0607189]
7. Hasenfratz P and Leutwyler H 1990 Goldstone boson related finite size effects in field theory and critical phenomena with O(N) symmetry Nucl. Phys. B 343 241
8. Dimitrović I, Hasenfratz P, Nager J and Niedermayer F 1991 Finite size effects, Goldstone bosons and critical exponents in the d = 3 Heisenberg model Nucl. Phys. B 350 893
9. Tominaga S and Yoneyama H 1995 Chiral perturbation theory, finite-size effects, and the three-dimensional XY model Phys. Rev. B 51 8243 [arXiv:hep-lat/9408001]
10. 4He by lattice methods Phys. Rev. B 74 144506 [arXiv:cond-mat/ 0605083]
11. 4 model Phys. Rev. B 71 024512 [arXiv:cond-mat/ 0501468] (Pubitemid 40486224)
12. Chen J H, Fisher M E and Nickel B G 1982 Unbiased estimation of corrections to scaling by partial differential approximants Phys. Rev. Lett. 48 630
13. Hasenbusch M and Török T 1999 High precision Monte Carlo study of the 3D XY-universality class J. Phys. A: Math. Gen. 32 6361 [arXiv:cond-mat/9904408]
14. Campostrini M, Hasenbusch M, Pelissetto A, Rossi P and Vicari E 2001 Critical behavior of the three-dimensional XY universality class Phys. Rev. B 63 214503 [arXiv:cond-mat/0010360]
15. Ballesteros H G, Fernandez L A, Martin-Mayor V and Munoz-Sudupe A 1996 Finite size effects on measures of critical exponents in d = 3 O(N) models Phys. Lett. B 387 125 [arXiv:cond-mat/9606203] (Pubitemid 126390115)
16. Cucchieri A, Engels J, Holtmann S, Mendes T and Schulze T 2002 Universal amplitude ratios from numerical studies of the three-dimensional O(2) model J. Phys. A: Math. Gen. 35 6517 [arXiv:cond-mat/0202017] (Pubitemid 37049344)
17. Deng Y, Blöte H W J and Nightingale M P 2005 Surface and bulk transitions in three-dimensional O(n) models Phys. Rev. E 72 016128 [arXiv:cond-mat/0504173]
18. Wolff U 1989 Collective Monte Carlo updating for spin systems Phys. Rev. Lett. 62 361
19. 4 theory Phys. Rev. Lett. 62 1087
20. Li Y-H and Teitel S 1989 Finite-size scaling study of the three-dimensional classical XY model Phys. Rev. B 40 9122
21. Fisher M E, Barber M N and Jasnow D 1973 Helicity modulus, superfluidity, and scaling in isotropic systems Phys. Rev. A 8 1111
22. Wolff U 1989 Continuum behavior in the lattice O(3) nonlinear sigma model Phys. Lett. B 222 473
23. Pelissetto A and Vicari E 2002 Critical phenomena and renormalization-group theory Phys. Rep. 368 549 [arXiv:cond-mat/0012164]
24. Caselle M and Hasenbusch M 1997 Universal amplitude ratios in the three-dimensional Ising model J. Phys. A: Math. Gen. 30 4963 [arXiv:hep-lat/9701007] (Pubitemid 127095360)
25. Guida R and Zinn-Justin J 1998 Critical exponents of the N-vector model J. Phys. A: Math. Gen. 31 8103 [arXiv:cond-mat/9803240] (Pubitemid 128141094)
26. Newman K E and Riedel E K 1984 Critical exponents by the scaling-field method: the isotropic N-vector model in three dimensions Phys. Rev. B 30 6615
27. Bervillier C and Godrèche C 1980 Universal combination of critical amplitudes from field theory Phys. Rev. B 21 5427
28. Bagnuls C and Bervillier C 1985 Nonasymptotic critical behavior from field theory at d = 3: the disordered-phase case Phys. Rev. B 32 7209
29. Bervillier C 1976 Universal relations among critical amplitude. Calculations up to order ε for systems with continuous symmetry Phys. Rev. B 14 4964
30. Butera P and Comi M 1999 Critical specific heats of the N-vector spin models on the simple cubic and bcc lattices Phys. Rev. B 60 6749 [arXiv:hep-lat/9903010]
31. c Nucl. Phys. B 504 665 [arXiv:cond-mat/ 9703062] (Pubitemid 127171061)
32. Burnett S S C, Strösser M and Dohm V 1998 Nucl. Phys. B 509 729 (addendum)
33. 4He Physica B 284-288 41
34. Hohenberg PC, Aharony A, Halperin BI and Siggia ED 1976 Two-scale-factor universality and the renormalization group Phys. Rev. B 13 2986
35. 4He Phys. Rev. B 30 5103
36. c Nucl. Phys. B 540 654 [arXiv:cond-mat/9806103]
37. χ in 1/n and ε expansions Prog. Theor. Phys. 57 1538
38. χ Prog. Theor. Phys. 59 672
39. Aharony A and Hohenberg P C 1976 Universal relations among thermodynamic critical amplitudes Phys. Rev. B 13 3081
40. T in 1/n and ε-expansions Prog. Theor. Phys. 66 1959
41. λ Phys. Rev. A 7 2145
42. 4 under pressure Phys. Rev. A 8 530
43. 4He under pressure Phys. Rev. Lett. 34 513