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Statistical mechanics of Ginzburg-Landau fields for weakly coupled chains

Statistical mechanics of Ginzburg-Landau fields for weakly coupled chains The free energy of a Ginzburg-Landau field describing a system of weakly coupled chains in a plane is identified with the ground-state energy of a linear array of quantum-mechanical anharmonic oscillators. The equivalent Hamiltonian is simplified for both real and complex fields using a truncated basis of states of the uncoupled oscillators. For the real field, the reduced Hamiltonian is solved, and the system is shown to have a logarithmic divergence in the specific heat similar to the anisotropic, two-dimensional Ising model. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review B American Physical Society (APS)

Statistical mechanics of Ginzburg-Landau fields for weakly coupled chains

Stoeckly, B; Scalapino, D. J
Physical Review B , Volume 11 (1) – Jan 1, 1975
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Publisher
American Physical Society (APS)
Copyright
Copyright © 1975 The American Physical Society
ISSN
1095-3795
DOI
10.1103/PhysRevB.11.205
Publisher site
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Abstract

The free energy of a Ginzburg-Landau field describing a system of weakly coupled chains in a plane is identified with the ground-state energy of a linear array of quantum-mechanical anharmonic oscillators. The equivalent Hamiltonian is simplified for both real and complex fields using a truncated basis of states of the uncoupled oscillators. For the real field, the reduced Hamiltonian is solved, and the system is shown to have a logarithmic divergence in the specific heat similar to the anisotropic, two-dimensional Ising model.

Journal

Physical Review B – American Physical Society (APS)

Published: Jan 1, 1975

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