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Quantum Spin Systems in a Random Environment

In: Mathematical Physics X

Author

Listed:
  • Abel Klein

    (University of California, Department of Mathematics)

Abstract

Quantum spin systems with random parameters have been introduced to study the effect of impurities in several physical systems (e.g., [1],[2], where models related to superfluidity and superconductivity are discussed). The finite volume Hamiltonian is typically of the form H Λ = JH 0,Λ + V Λ where H 0,Λ favors long-range order and V Λ has discrete spectrum with a unique ground state in which the elementary excitations of the system are perfectly localized, so for J = 0 the ground state correlation function is a δ-function. One or both of H0,Λ and V Λ may contain random parameters. J is a coupling constant.

Suggested Citation

  • Abel Klein, 1992. "Quantum Spin Systems in a Random Environment," Springer Books, in: Konrad Schmüdgen (ed.), Mathematical Physics X, pages 348-354, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-77303-7_34
    DOI: 10.1007/978-3-642-77303-7_34
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