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Generalized valence bond state and solvable models for spin-12systems with orbital degeneracy

2001/05/07 by Shun-Qing Shen · 2 citations
Materials Science · Physics and Astronomy · #Advanced Condensed Matter Physics #Iron-based superconductors research #Physics of Superconductivity and Magnetism #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.64.132411

published as Phys. Rev. B 64, 132411 (2001) · 4 pages

arxiv created 2001/05/07 · openalex publication_date 2001/09/12 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

A spin-(1)/(2) system with double orbital degeneracy may possess SU(4) symmetry. According to the group theory a global SU(4) singlet state can be expressed as a linear combination of all possible configurations consisting of four-site SU(4) singlets. Following Andersion's idea for spin-(1)/(2) system, we propose that the ground state for the antiferromagnetic SU(4) model is an SU(4)-resonating valence-bond (RVB) state. A short-range SU(4)-RVB state is a spin and orbital liquid, and its elementary excitations has an energy gap. We construct a series of solvable models that ground states are short-range SU(4)-RVB states. The results are generalized to the antiferromagnetic SU(N) models.

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