Classical transverse Ising spin glass with short- range interaction beyond the mean field approximation

Details Classical transverse Ising spin glass with short- range interaction beyond the mean field approximation Classical transverse Ising spin glass with short- range interaction beyond the mean field approximation

1998-04-03

arxiv.org/abs/cond-mat/9804033v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

LaTex, 11 pages, 2 figures

Scientific paper

10.1088/0305-4470/31/27/004

The classical transverse field Ising spin- glass model with short-range interactions is investigated beyond the mean- field approximation for a real d- dimensional lattice. We use an appropriate nontrivial modification of the Bethe- Peierls method recently formulated for the Ising spin- glass. The zero- temperature critical value of the transverse field and the linear susceptibility in the paramagnetic phase are obtained analytically as functions of dimensionality d. The phase diagram is also calculated numerically for different values of d. In the limit d -> infinity, known mean- field results are consistently reproduced.

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