Journal of Statistical Physics

, Volume 26, Issue 4, pp 839–845 | Cite as

Spin quantum number in the ground state of the Mattis-Heisenberg model

  • Hidetoshi Nishimori


Total spin quantum number is rigorously calculated for a quantum version of the Mattis model of random spin systems. Crossover between three universality classes of the Ising model, theXY model, and the Heisenberg model is explicitly worked out in the presence of randomness. The randomness of the type of the Mattis model is shown to have no thermodynamic effects even in quantum systems.

Key words

Ground state randomness Mattis model frustration quantum effects 


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Copyright information

© Plenum Publishing Corporation 1981

Authors and Affiliations

  • Hidetoshi Nishimori
    • 1
  1. 1.Department of PhysicsUniversity of TokyoTokyoJapan

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