On exactly solvable models for systems with quantum-phase transitions

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

Physica A: Statistical Mechanics and its Applications, 2002, vol. 308, issue 1, 325-336

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.

Keywords: Quantum phase transitions; Exact models; Renormalization group (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:308:y:2002:i:1:p:325-336

DOI: 10.1016/S0378-4371(02)00583-6

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