Analysis of the long-range random field quantum antiferromagnetic Ising model

Details Analysis of the long-range random field quantum antiferromagnetic Ising model Analysis of the long-range random field quantum antiferromagnetic Ising model

2005-12-02

arxiv.org/abs/cond-mat/0512043v3

Physics

Condensed Matter

Disordered Systems and Neural Networks

18 pages, 5 figures, Euro. Phys. J B (to be published)

Scientific paper

10.1140/epjb/e2006-00226-6

We introduce a solvable quantum antiferromagnetic model. The model, with Ising spins in a transverse field, has infinite range antiferromagnetic interactions with random fields on each site, following an arbitrary distribution. As is well-known, frustration in the random field Ising model gives rise to a many-valley structure in the spin-configuration space. In addition, the antiferromagnetism also induces a regular frustration even for the ground state. In this paper, we investigate analytically the critical phenomena in the model, having both randomness and frustration and we report some analytical results for it.

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