Stable Mean-Field Solution of a Short-Range Interacting SO(3) Quantum Heisenberg Spin Glass

2008/02/03 by C. M. S. da Conceição, E. C. Marino · 2 citations
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum many-body systems #Theoretical and Computational Physics #cond-mat.dis-nn #hep-th

paper · pdf · doi:10.1103/physrevlett.101.037201

4 pages

arxiv created 2008/02/03 · openalex publication_date 2008/07/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a mean-field solution for a quantum, short-range interacting, disordered, SO(3) Heisenberg spin model, in which the Gaussian distribution of couplings is centered in an antiferromagnetic (AF) coupling J[over ]>0, and which, for weak disorder, can be treated as a perturbation of the pure AF Heisenberg system. The phase diagram contains, apart from a Néel phase at T=0, spin-glass and paramagnetic phases whose thermodynamic stability is demonstrated by an analysis of the Hessian matrix of the free-energy. The magnetic susceptibilities exhibit the typical cusp of a spin-glass transition.

Citations

• Quantum and Thermal Fluctuations in the SU(N) Heisenberg Spin-Glass Model near the Quantum Critical Point
• Continuum dynamics of the 1-D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma model

Cited by

• Quantum field theory solution for a short-range interacting SO(3) quantum spin-glass
• Duality, quantum skyrmions, and the stability of a SO(3) two-dimensional quantum spin glass