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Critical properties of the double-frequency sine-Gordon model with applications

arXiv:cond-mat/0001227 · doi:10.1016/S0550-3213(00)00247-9

Abstract

We study the properties of the double-frequency sine--Gordon model in the vicinity of the Ising quantum phase transition displayed by this model. Using a mapping onto a generalised lattice quantum Ashkin-Teller model, we obtain critical and nearly-off-critical correlation functions of various operators. We discuss applications of the double-sine-Gordon model to one-dimensional physical systems, like spin chains in a staggered external field and interacting electrons in a staggered potential.

51 pages, Latex file