On ground state degeneracy of \(\mathbb{Z}_ 2\) symmetric quantum spin models

DOI10.2977/prims/1195169424zbMath0783.60105OpenAlexW2054030277MaRDI QIDQ1190726

Taku Matsui

Publication date: 26 September 1992

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195169424

zbMATH Keywords

symmetryMarkov semigroupGibbs measurequantum spin modelsground state degeneracy

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (2)

Geometric aspects of quantum spin states ⋮ On the absence of non-periodic ground states for the antiferromagnetic \(XXZ\) model

Cites Work

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• Uniqueness of the translationally invariant ground state in quantum spin systems
• On the spectrum of the Heisenberg Hamiltonian
• Ground states of quantum spin systems
• A link between quantum and classical Potts models
• Some problems related to Gibbs states, canonical Gibbs states and Markovian time evolutions

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