Abstract
We investigate a quantum version of the spherical model which is obtained from the classical Berlin-Kac spherical model by a simple canonical quantization scheme. We find a complete solution of the model for short-range as well as for long-range interactions. At finite temperatures the critical behavior is the same as in the classical spherical model whereas at zero temperature we find a quantum phase transition characterized by new critical exponents. Based on a functional-integral representation of the partition function the free energy of the model is shown to be equivalent to that of the nonlinear σ model in the limit of infinite order-parameter dimensionality.
Recommended Citation
T. Vojta, "Quantum version of a spherical model: Crossover from quantum to classical critical behavior," Physical Review B (Condensed Matter), vol. 53, no. 2, pp. 710 - 714, American Physical Society (APS), Jan 1996.
The definitive version is available at https://doi.org/10.1103/PhysRevB.53.710
Department(s)
Physics
International Standard Serial Number (ISSN)
0163-1829
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 1996 American Physical Society (APS), All rights reserved.
Publication Date
01 Jan 1996
