Y Ozeki and H Nishimori 1993 J. Phys. A: Math. Gen. 26 3399 doi:10.1088/0305-4470/26/14/009
Y Ozeki and H Nishimori
Show affiliationsThe authors introduce a general class of random spin systems which are symmetric under local gauge transformations. Their model is a generalization of the usual Ising spin glass and includes the Zq, XY, and SU (2) gauge glasses. For this general class of systems, the internal energy and an upper bound on the specific heat are calculated explicitly in any dimensions on a special line in the phase diagram. Although the line intersects a phase boundary at a multicritical point, the internal energy and the bound on the specific heat are found to be written in terms of a simple function. They also show that the boundary between the ferromagnetic and nonferromagnetic phases is parallel to the temperature axis in the low-temperature region of the phase diagram. This means the absence of re-entrant transitions. All these properties are derived by simple applications of gauge transformations of spin and randomness degrees of freedom.
05.50.+q Lattice theory and statistics (Ising, Potts, etc.)
75.50.Lk Spin glasses and other random magnets
75.10.Nr Spin-glass and other random models
75.10.Hk Classical spin models
75.30.Kz Magnetic phase boundaries (including magnetic transitions, metamagnetism, etc.)
82B44 Disordered systems (random Ising models, random Schrödinger operators, etc.)
82B26 Phase transitions (general)
82D30 Random media, disordered materials (including liquid crystals and spin glasses)
Issue 14 (21 July 1993)
Y Ozeki and H Nishimori 1993 J. Phys. A: Math. Gen. 26 3399
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