Low-Dimensional Spin Systems: Hidden Symmetries, Conformal Field Theories and Numerical Checks

2003/09/29 by C. Degli Esposti Boschi, Boschi, C. Degli Esposti, Elisa Ercolessi +4
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Physics of Superconductivity and Magnetism #Quantum many-body systems #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics #cond-mat.stat-mech #hep-th

paper · pdf · doi:10.48550/arxiv.cond-mat/0309658

To be published in the proceedings of the XIII Conference on "Symmetries in Physics", held in Bregenz (Voralberg, Austria), 21-24/7/2003. Plain LaTeX2e, 4 EPS figures

arxiv created 2003/09/29 · openalex publication_date 2003/09/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We review here some general properties of antiferromagnetic Heisenberg spin chains, emphasizing and discussing the role of hidden symmetries in the classification of the various phases of the models. We present also some recent results that have been obtained with a combined use of Conformal Field Theory and of numerical Density Matrix Renormalization Group techniques.

Related

• Semiclassical and field theoretic studies of Heisenberg antiferromagnetic chains with frustration and dimerization
• Combinatorics, wreath products, finite space groups and magnetism
• Ground State Properties of Antiferromagnetic Chains with Unrestricted Spin: Integer Spin Chains as Realisations of the O(3) Non-Linear Sigma Model
• Quantum Antiferromagnets in a Magnetic Field
• Low Temperature Results for the Heisenberg XXZ and XY Models