Compressible Sherrington-Kirkpatrick spin-glass model

Details Compressible Sherrington-Kirkpatrick spin-glass model Compressible Sherrington-Kirkpatrick spin-glass model

2008-09-11

arxiv.org/abs/0809.2084v2

J. Phys. A: Math. Theor. 42 (2009) 205002

Physics

Condensed Matter

Disordered Systems and Neural Networks

8 pages, 2 figures; added references, added content

Scientific paper

10.1088/1751-8113/42/20/205002

We introduce a Sherrington-Kirkpatrick spin-glass model with the addition of elastic degrees of freedom. The problem is formulated in terms of an effective four-spin Hamiltonian in the pressure ensemble, which can be treated by the replica method. In the replica-symmetric approximation, we analyze the pressure-temperature phase diagram, and obtain expressions for the critical boundaries between the disordered and the ordered (spin-glass and ferromagnetic) phases. The second-order para-ferromagnetic border ends at a tricritical point, beyond which the transition becomes discontinuous. We use these results to make contact with the temperature-concentration phase diagrams of mixtures of hydrogen-bonded crystals.

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