Spin stiffness of vector spin glasses

Computer Physics Communications

Volumn 182, Issue 9, 2011, Pages 1883-1887

  Beyer, Frank ^a   Weigel, Martin ^a  

^a JOHANNES GUTENBERG UNIVERSITY   (Germany)

Author keywords

Lower critical dimension; Spherical limit; Vector spin glasses

Indexed keywords

ENERGY LANDSCAPE; HEISENBERG MODELS; LOWER CRITICAL DIMENSION; METASTABILITIES; SPATIAL DIMENSION; SPHERICAL LIMIT;

EXCITED STATES; GLASS; STIFFNESS;

SPIN GLASS;

EID: 79958087278     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cpc.2010.12.014     Document Type: Article

References (25)

1. D.X. Viet, and H. Kawamura Monte Carlo studies of chiral and spin ordering of the three-dimensional Heisenberg spin glass Phys. Rev. B 80 2009 064418
2. M. Hasenbusch, A. Pelissetto, and E. Vicari Critical behavior of three-dimensional Ising spin glass models Phys. Rev. B 78 2008 214205
3. H.G. Ballesteros, A. Cruz, L.A. Fernández, V. Martín-Mayor, J. Pech, J.J. Ruiz-Lorenzo, A. Tarancón, P. Téllez, C.L. Ullod, and C. Ungil Critical behavior of the three-dimensional Ising spin glass Phys. Rev. B 62 2000 14237
4. J.H. Pixley, and A.P. Young Large-scale Monte Carlo simulations of the three-dimensional XY spin glass Phys. Rev. B 78 2008 014419
5. I. Campos, M. Cotallo-Aban, V. Martín-Mayor, S. Perez-Gaviro, and A. Tarancón Spin-glass transition of the three-dimensional Heisenberg spin glass Phys. Rev. Lett. 97 2006 217204
6. L.A. Fernández, V. Martín-Mayor, S. Perez-Gaviro, A. Tarancón, and A.P. Young Phase transition in the three dimensional Heisenberg spin glass: Finite-size scaling analysis Phys. Rev. B 80 2009 024422
7. N. Kawashima, and H. Rieger Recent progress in spin glasses H.T. Diep, Frustrated Spin Systems 2004 World Scientific Singapore 491 596
8. M. Hastings Ground state and spin-glass phase of the large-n infinite-range spin glass via supersymmetry J. Stat. Phys. 99 2000 171 217
9. S. Chandra Dependence of ground-state energy of classical n-vector spins on n Phys. Rev. E 77 2008 021125
10. J.E. Green, A.J. Bray, and M.A. Moore Critical behaviour of an m-vector spin glass for m = ∞ J. Phys. A 15 1982 2307 2314
11. L. Viana Infinite-component spin-glass model in the low-temperature phase J. Phys. A 21 1988 803 813
12. L.W. Lee, A. Dhar, and A.P. Young Spin glasses in the limit of an infinite number of spin components Phys. Rev. E 71 2005 036146
13. L. Lee, and A. Young Defect energy of infinite-component vector spin glasses Phys. Rev. E 72 2005 036124
14. B. Morris, S. Colborne, M. Moore, A. Bray, and J. Canisius Zero-temperature critical behaviour of vector spin glasses J. Phys. C 19 1986 1157 1171
15. J.R. Banavar, and M. Cieplak Nature of ordering in spin-glasses Phys. Rev. Lett. 48 1982 832 835
16. A.J. Bray, and M.A. Moore Lower critical dimension of Ising spin glasses: a numerical study J. Phys. C 17 1984 L463 L468
17. J. Villain Two-level systems in a spin-glass model: I. General formalism and two-dimensional model J. Phys. C 10 1977 4793 4803
18. M. Weigel, and M. Gingras Ground states and defect energies of the two-dimensional XY spin glass from a quasiexact algorithm Phys. Rev. Lett. 96 2006 097206
19. J.M. Kosterlitz, and N. Akino Numerical study of spin and chiral order in a two-dimensional XY spin glass Phys. Rev. Lett. 82 1999 4094 4097 (Pubitemid 129689373)
20. M. Weigel, and M.J.P. Gingras Zero-temperature phase of the XY spin glass in two dimensions: Genetic embedded matching heuristic Phys. Rev. B 77 2008 104437
21. F. Beyer, M. Weigel, in preparation.
22. A.C. Carter, A.J. Bray, and M.A. Moore Aspect-ratio scaling and the stiffness exponent θ for Ising spin glasses Phys. Rev. Lett. 88 2002 077201
23. S. Brandt Data Analysis: Statistical and Computational Methods for Scientists and Engineers 1998 Springer Berlin
24. H. Kawamura Generalized chiral universality J. Phys. Soc. Jpn. 59 1990 2305 2308
25. T. Aspelmeier, and M.A. Moore Generalized Bose-Einstein phase transition in large-m component spin glasses Phys. Rev. Lett. 92 2004 077201