Quantum effects in a d-dimensional exactly solvable model for a structural phase transition

N.M. Plakida and N.S. Tonchev

Physica A: Statistical Mechanics and its Applications, 1986, vol. 136, issue 1, 176-188

Abstract: An exactly solvable d-dimensional model of a structural phase transition with a long-range anharmonic interaction is considered in the low temperature region Tc→0 when the quantum effects are essential. It is shown that the quantum fluctuations lead to a suppression of the phase transition. However, at Tc > 0 they do not change the critical behaviour. The latter becomes pure quantum mechanical at Tc=0 when the dimensional crossover is fulfilled, according to which the critical behaviour of a d-dimensional quantum system (Tc=0) and of a (d+1)-dimensional classical system (Tc<) becomes equivalent.

Date: 1986
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:136:y:1986:i:1:p:176-188

DOI: 10.1016/0378-4371(86)90049-X

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