Nonuniversal critical behavior and its suppression by quantum fluctuations

R. Morf, T. Schneider, and E. Stoll
Phys. Rev. B 16, 462 – Published 1 July 1977
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Abstract

The phase transition at Tc=0, caused by variation of parameters in a lattice dynamic system, is studied by means of classical and quantum-statistical mechanics. We calculate the critical exponents explicitly. They differ from those for Tc0. Within the frame of classical statistical mechanics they are nonuniversal, depending on a parameter. This feature is suppressed, however, by quantum fluctuations. The quantum-mechanical Tc=0 critical point for a d-dimensional system corresponds to the Wilson fix point of a (d+1)-dimensional system.

  • Received 12 February 1976

DOI:https://doi.org/10.1103/PhysRevB.16.462

©1977 American Physical Society

Authors & Affiliations

R. Morf*, T. Schneider, and E. Stoll

  • IBM Zurich Research Laboratory, 8803 Rüschlikon, Switzerland

  • *Present address: Theoretical Physics Institute of the University of Basel, Switzerland.

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Vol. 16, Iss. 1 — 1 July 1977

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