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On the role of the quantum fluctuations in a model of an anharmonic crystal

E. S. PISANOVA1,*

Affiliation

  1. University of Plovdiv, 24 Tzar Assen Str., 4000 Plovdiv, Bulgaria

Abstract

An exactly solvable model of an anharmonic crystal, with developed classical and quantum fluctuations depending on the temperature T, the quantum parameter λ, the long-range interaction exponent σ and the spatial dimension d is studied below the lower quantum critical dimension. The equation for the inverse susceptibility is analyzed in the low-temperature regime ( is arbitrary) and in the regime of a small quantum parameter (T is arbitrary) excluding the range around . It is shown that in the absence of a phase transition in the system, the quantum fluctuations have a stronger impact on the susceptibility of the classical system, in comparison to the impact of the classical (or thermodynamic) fluctuations on the pure quantum system..

Keywords

Anharmonic crystal, Long-range interaction, Quantum fluctuations.

Submitted at: Nov. 1, 2006
Accepted at: Jan. 15, 2007

Citation

E. S. PISANOVA, On the role of the quantum fluctuations in a model of an anharmonic crystal, Journal of Optoelectronics and Advanced Materials Vol. 9, Iss. 1, pp. 144-147 (2007)