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Prog. Theor. Phys. Supplement No.69 (1980) pp. 69-79
Lattice Gauge Theory for the Classical XY Model of Spin Glasses
Takeo Izuyama
Institute of Physics, College of General Education, University of Tokyo, Komaba, Tokyo 153
(Received October 30, 1980)
Abstract:
A simple cubic lattice of planar rotators coupled via nearest neighbor bonds with random sign has been investigated on the basis of the lattice gauge theory. At low temperatures this spin glass problem is transformed into a simpler problem of random distribution of monopoles over the dual lattice sites. A rigorous expression for the Edward Anderson's q has been obtained in this monopole formalism. It is concluded that q is very small, if not vanishing, as compared with l even in the low temperature limit. This means that the susceptibility diverges as x ∝ 1/T.
URL :
http://ptp.ipap.jp/link?PTPS/69/69/
DOI : 10.1143/PTPS.69.69
References:
-
S. F. Edwards and P. W. Anderson, J. Phys. F 5 (1975), 965[IoP STACKS].
-
D. Sherrington and S. Kirkpatrick, Phys. Rev. Lett. 35 (1975), 1792[APS].
- D. J. Thouless, P. W. Anderson and R. G. Palmer, Phil. Mag. 35 (1977), 1792.
-
G. Parisi, Phys. Rev. Lett. 43 (1979), 1754[APS].
- C. de Dominicis, Preprint.
-
C. Domb, J. of Phys. A 9 (1976), L17[CrossRef].
-
C. Jayaprakash, J. Chalupa and M. Wortis, Phys. Rev. B 15 (1977), 1495[APS].
S. Katsura, Prog. Theor. Phys. 55 (1976), 1049[PTP].
S. Katsura and S. Fujiki, J. of Phys. C 12 (1979), 1087[IoP STACKS].
-
R. Fisch and A. B. Harris, Phys. Rev. Lett. 38 (1977), 785[APS].
-
J. Jose, L. P. Kadanoff, S. Kirkpatrick and D. Nelson, Phys. Rev. B 16 (1977), 1217[APS].
-
R. Savit, Phys. Rev. B 17 (1978), 1340[APS].
-
M. B. Einhorn and R. Savit, Phys. Rev. D 17 (1978), 2583[APS];
ibid. 19 (1979), 1198[APS].
- G. Toulouse, Commun. Phys. 2 (1977), 115.
- T. Morita and T. Horiguchi, Table of the Lattice Green's Function for the Cubic Lattices (Tohoku Univ., Sendai, 1971).
