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Physica A Statistical Mechanics and its Applications

Quantum crossover behaviour of the N-vector model in the large-N limit

Katarzyna Walasek

Published Jul 1, 1986• 1 citation
Publisher
DOI
10.1016/0378-4371(86)90074-9

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The critical behaviour of an anisotropic n-vector model with pure single-component or Ising-like coupling is studied. The non-interacting spin components are integrated over, and the resulting single-component, reduced hamiltonian represents the gaussian model for n= infinity and the Ising-Ginzburg-Landau-Wilson model for finite n. For large n one finds T c (n)-T c ( infinity ) varies as 1/n, while the susceptibility behaves as chi approximately t -1 X(1/nt phi ), with t=T/T c (n)-1 and phi = 1 / 2 (4-d).