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On exactly solvable models for systems with quantum-phase transitions

Author

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  • Caramico D'Auria, A.
  • De Cesare, L.
  • Rabuffo, I.

Abstract

A reduction procedure, suggested for classical systems some years ago, is extended to systems with quantum-phase transitions with the aim to generate exactly solvable models capturing fluctuation effects beyond the mean field approximation. For the reduced isotropic m-vector quantum models, an exact nonperturbative renormalization group formulation is presented and the relation to the classical counterpart is established. We show that, with a simple change of the coupling functional, it is possible to reproduce formally the flow differential equations already obtained in the large-m limit many years ago. The substantial difference is that the reduction procedure used here does not impose any restriction on the dimension m of the order parameter field.

Suggested Citation

  • Caramico D'Auria, A. & De Cesare, L. & Rabuffo, I., 2002. "On exactly solvable models for systems with quantum-phase transitions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 308(1), pages 325-336.
    • Handle: RePEc:eee:phsmap:v:308:y:2002:i:1:p:325-336
    DOI: 10.1016/S0378-4371(02)00583-6
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