Restoration of symmetry in the spectrum of the bilayer Heisenberg antiferromagnet

The longitudinal mode in the Heisenberg model on a bilayer square lattice is studied using series expansion methods. It is demonstrated numerically that the longitudinal mode becomes degenerate with the magnon modes at the quantum phase transition between Neel and dimerized phases, thus forming a sp...

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Veröffentlicht in:Physical review. B, Condensed matter and materials physics Condensed matter and materials physics, 2012-01, Vol.85 (1), p.014432-014432, Article 014432
Hauptverfasser: Hamer, C. J., Oitmaa, J., Weihong, Zheng
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creator Hamer, C. J.
Oitmaa, J.
Weihong, Zheng
description The longitudinal mode in the Heisenberg model on a bilayer square lattice is studied using series expansion methods. It is demonstrated numerically that the longitudinal mode becomes degenerate with the magnon modes at the quantum phase transition between Neel and dimerized phases, thus forming a spin-1 multiplet, in accord with the restoration of SU(2) symmetry. Finally, it is shown that the magnon mode becomes degenerate with the triplet mode in the dimerized phase at the critical point, showing continuity of the excitation spectrum across the critical point.
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ispartof Physical review. B, Condensed matter and materials physics, 2012-01, Vol.85 (1), p.014432-014432, Article 014432
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source American Physical Society Journals
subjects Condensed matter
Critical point
Lattice vibration
Magnons
Mathematical models
Phase transformations
Restoration
Spin waves
Symmetry
title Restoration of symmetry in the spectrum of the bilayer Heisenberg antiferromagnet
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