Critical thermodynamics of the two-dimensional +/-J Ising spin glass

Details Critical thermodynamics of the two-dimensional +/-J Ising spin glass Critical thermodynamics of the two-dimensional +/-J Ising spin glass

2003-09-09

arxiv.org/abs/cond-mat/0309238v3

Physical Review Letters 92 (2004) 117202

Physics

Condensed Matter

Disordered Systems and Neural Networks

Scientific paper

10.1103/PhysRevLett.92.117202

We compute the exact partition function of 2d Ising spin glasses with binary couplings. In these systems, the ground state is highly degenerate and is separated from the first excited state by a gap of size 4J. Nevertheless, we find that the low temperature specific heat density scales as exp(-2J/T), corresponding to an ``effective'' gap of size 2J; in addition, an associated cross-over length scale grows as exp(J/T). We justify these scalings via the degeneracy of the low-lying excitations and by the way low energy domain walls proliferate in this model.

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