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Prog. Theor. Phys. Supplement No.157 (2005) pp. 77-81
Zero Temperature Phase Diagram of Finite Connectivity Spin Glasses
Florent Krz\cakała
Dipartimento di Fisica, INFM and SMC, Università di
Roma “La Sapienza”, P. A. Moro 2, 00185 Roma, Italy
Abstract:
The zero temperature phase diagram of spin glasses on finite
connectivity graphs is investigated, with or without magnetic field
and/or ferromagnetic bias, for mean field (using the cavity method)
and Edwards-Anderson (using numerical ground states computations)
models. In the mean field case we show that the phase diagram is
complex and compute the equivalent of the zero temperature de
Almeida-Thouless line. In the 3d model however, we found a trivial
phase diagram. This paper presents new analytical results as well as a
rapid review of numerical works on ground states.
URL :
http://ptp.ipap.jp/link?PTPS/157/77/
DOI : 10.1143/PTPS.157.77
References:
-
S. F. Edwards and P. W. Anderson, J. of Phys. F 5 (1975), 965[IoP STACKS].
- Spin Glasses and Random Fields, ed. A. P. Young (World Scientific, Singapore, 1998).
- M. Mézard, G. Parisi and M. A. Virasoro, Spin-Glass Theory and Beyond, Vol. 9 of Lecture Notes in Physics (World Scientific, Singapore, 1987).
- E. Marinari et al., J. Stat. Phys. 98 (2000), 973;
J. of Phys. A 31 (1998), 6355[IoP STACKS].
-
J. R. L. de Almeida and D. J. Thouless, J. of Phys. A 11 (1978), 983[CrossRef].
-
J. Houdayer and O. C. Martin, Phys. Rev. Lett. 83 (1999), 1030[APS].
A. K. Hartmann, Physica A 224 (1996), 480[CrossRef].
K. F. Pal, Physica A 223 (1996), 283[CrossRef].
-
M. Mézard and G. Parisi, Eur. Phys. J. B 20 (2001), 217[CrossRef]; J. Stat. Phys 111 (2003), 1.
-
A. Montanari et al., J. of Phys. A 37 (2004), 2073[IoP STACKS].
O. Rivoire et al., Eur. Phys. J. B 37 (2004), 55[CrossRef].
F. Krzakala et al., Phys. Rev. E 70 (2004), 046705[APS];
cond-mat/0403725[e-print arXiv].
-
T. Castellani and F. Ricci-Tersenghi, cond-mat/0403053[e-print arXiv].
-
A. Pagnani, G. Parisi and M. Ratieville, Phys. Rev. E 68 (2003), 046706[APS].
-
D. S. Fisher and D. A. Huse, Phys. Rev. Lett. 56 (1986), 1601[APS].
- A. J. Bray and M. A. Moore, in Vol. 275 of Lecture Notes in Physics, ed. J. L. van Hemmen and I. Morgenstern (Springer, Berlin, 1986), p. 121.
-
F. Krzakala and O. C. Martin, Phys. Rev. Lett. 89 (2002), 267202[APS].
-
G. Migliorini and A. N. Berker, Phys. Rev. B. 57 (1998), 426[APS].
-
J. Houdayer and O. C. Martin, Europhys. Lett. 49 (2000), 794[CrossRef].
-
F. Krzakala and O. C. Martin, Phys. Rev. Lett. 85 (2000), 3013[APS].
-
M. Palassini and A. P. Young, Phys. Rev. Lett. 85 (2000), 3017[APS].
-
F. Krzakala and O. C. Martin, Phys. Rev. Lett. 87 (2001), 197204[APS].
- H. Yoshino and P. Jönsson, Prog. Theor. Phys. Suppl. No. 157 (2005), 29[PTP].
A. P. Young and H. G. Katzgraber, cond-mat/0407031[e-print arXiv].
J. Houdayer and O. C. Martin, Phys. Rev. Lett. 82 (1999), 4934[APS].
- F. Krzakala, Ph. D Thesis, Université Pierre et Marie Curie, Paris VI (2002).
-
I. R. Pimentel, T. Temesvàri and C. De Dominicis, Phys. Rev. B 65 (2002), 224420[APS].
