Ground States of the Heisenberg Model

  • Assa Auerbach
Part of the Graduate Texts in Contemporary Physics book series (GTCP)


In Section 3.2, the antiferromagnetic Heisenberg model of spin half emerged as an effective Hamiltonian for Mott insulators. In general, the Heisenberg Hamiltonian is a fundamental model for quantum magnetism, as weIl as other phenomena that can be effectively described by quantum spin operators.1 A wide range of concepts and techniques can be learned from studies of its ground state, excitations , and thermodynamic phases.


Total Spin Heisenberg Model Mott Insulator Good Quantum Number Twisted State 
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  1. W. Marshall, Proc. R. Soc. London Ser. A 232, 48 (1955).ADSMATHCrossRefGoogle Scholar
  2. E. Lieb and D.C. Mattis, J. Math. Phys. 3, 749 (1962)ADSMATHCrossRefGoogle Scholar
  3. E. Lieb, T.D. Schultz, and D.C. Mattis, Ann. Phys. 16, 407 (1961).MathSciNetADSMATHCrossRefGoogle Scholar
  4. J. des Cloizeaux and J.J. Pearson, Phys. Rev. 128, 2131 (1962).ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • Assa Auerbach
    • 1
  1. 1.Technion Department of PhysicsIsrael Institute of TechnologyHaifaIsrael

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