2005/12/31 by Bikas K. Chakrabarti, Arnab Das, Jun-ichi Inoue +1
Mathematics · Physics and Astronomy · #Antiferromagnetism #Condensed matter physics #Field (mathematics) #Frustration #Geometrical frustration #Ground state #Ising model #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #Quantum mechanics #Random field #Randomness #Spin (aerodynamics) #Spins #Statistical physics #Statistics #Theoretical and Computational Physics #cond-mat.dis-nn
paper · pdf · doi:10.1140/epjb/e2006-00226-6
18 pages, 5 figures, Euro. Phys. J B (to be published)
arxiv created 2006/05/09 · openalex publication_date 2006/06/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.