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Remarks on duality of 1 dimensional quantum spin models

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Publication:1207986
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DOI10.1007/BF02096566zbMath0790.46052MaRDI QIDQ1207986

Taku Matsui

Publication date: 16 May 1993

Published in: Communications in Mathematical Physics (Search for Journal in Brave)


zbMATH Keywords

duality mapsground statesnonlocal transformationHaldane phase of quantum antiferromagnetic spin modelsKramers Wannier dualityone-dimensional quantum spin models


Mathematics Subject Classification ID

Model quantum field theories (81T10) Applications of functional analysis in quantum physics (46N50)


Related Items (1)

Hidden symmetry breaking and the Haldane phase in \(S=1\) quantum spin chains



Cites Work

  • Uniqueness of the translationally invariant ground state in quantum spin systems
  • Gibbs measure as quantum ground states
  • Ground states of the XY-model
  • Hidden symmetry breaking and the Haldane phase in \(S=1\) quantum spin chains
  • A link between quantum and classical Potts models


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