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Physical review. B, Condensed matter

Critical exponents of the Ashkin-Teller model

J. R. Drugowich de Felício, R. Köberle

Published Jan 1, 1982• 20 citations
Publisher

Abstract

We show that the time-continuous Hamiltonian of the two-dimensional Ashkin-Teller model is that of a massive Thirring model. This implies the existence of an infinite number of conservation laws in the critical region and enables us to determine the critical exponents of the energy, crossover, and polarization operators.
DOI
10.1103/physrevb.25.511

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It is shown that (i) the N-component Ashkin-Teller model in d=2 has continuous O(N) symmetry, (ii) its critical properties near the decoupled Ising transition are determined by the massive Gross-Neveu [(\ensuremath{\psi}\ifmmode\bar\else\textasciimacron\fi{}\ensuremath{\psi})2{)}^{2})2] model in general and the (integrable) massless version along a line, (iii) the known results for the massless Gross-Neveu model imply that the first-order transition found as N\ensuremath{\rightarrow}\ensuremath{\infty} persists down to N=3 along this line, (iv) the supersymmetry of the N=3 model implies that the leading singularity of the free energy is zero along the first-order line, and (v) the N=4 model along this line decouples into two identical N=2 models up to subleading corrections.