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

Abstract

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.

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

References in corpus (5)

• Ising models of quantum frustration
• Two-dimensional periodic frustrated Ising models in a transverse field
• Entanglement and factorized ground states in two-dimensional quantum antiferromagnets
• W=0 Pairing in $(N,N)$ Carbon Nanotubes away from Half Filling
• Antiferromagnetism in the Exact Ground State of the Half Filled Hubbard Model on the Complete-Bipartite Graph

Cited by in corpus (5)

• Infinite-range Ising ferromagnet in a time-dependent transverse field: quench and ac dynamics near the quantum critical point
• Non-equilibrium dynamics of quantum systems: order parameter evolution, defect generation, and qubit transfer
• Quantum phase transition in a disordered long-range transverse Ising antiferromagnet
• Infinite-range transverse field Ising models and quantum computation
• A Novel Quantum Transition in a Fully Frustrated Transverse Ising Antiferromagnet