, Volume 52, Issue 4, pp 1033-1042
Date: 17 Nov 2012

Vector Coherent States of Sp(2n,R) Lie algebra for XYZ Antiferromagnetic Heisenberg Model

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Abstract

XYZ antiferromagnetic Heisenberg chains and the one in a magnetic field models under linear spin-wave frame are shown explicitly to possess Su(1,2) and So(3,2) algebraic structures respectively. Their algebra solutions related to Sp(2n,R) Lie algebra are derived. The energy spectra of these two models are determined by one-boson excitation energies, which are built on vector coherent states of Sp(6,R)⊃U(1,2) and Sp(8,R)⊃O(3,2), respectively.