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Ground state degeneracy and ferromagnetism in a spin glass |
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| Authors: | J E Avron G Roepstorff L S Schulman |
| Institution: | (1) Physics Department, Technion, Haifa, Israel;(2) Present address: Division of Mathematics, Caltech, Pasadena, California;(3) Present address: Institute for Advanced Study, Princeton, New Jersey;(4) Physics Department, RWTH Aachen, Germany;(5) Present address: IBM Research Center, P.O. Box 218, 10598 Yorktown Heights, New York |
| Abstract: | We prove three results for the two-dimensional Ising spin glass model on a square lattice: (a) finite entropy for the ground state; (b) ferromagnetism for low concentrations of antiferromagnetic bonds and low temperatures; (c) vanishing magnetization for a spin glass with equal concentrations of ferro- and antiferromagnetic bonds. |
| Keywords: | Spin glass ferromagnetism ground state degeneracy Peierls argument frustration |
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