open access

https://hdl.handle.net/2115/13698

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

英語

stochastic processes and statistics

2006

EDP Sciences, Società Italiana di Fisica, Springer-Verlag

The European Physical Journal B. Condensed Matter Physics

51

321-329

We introduce a solvable quantum antiferromagnetic model. The model, with Ising spins in a transverse field, has infinite range antiferromagnetic interactions and 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.

学術雑誌論文

Accepted Manuscript

The original publication is available at www.eurphysj.org

1434-6028

1434-6036