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Critical properties of the double-frequency sine-Gordon model with applications |
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| Authors: | M. Fabrizio A. O. Gogolin A. A. Nersesyan |
| Affiliation: | a International School for Advanced Studies and INFM, Via Beirut 4, 34014, Trieste, Italy b Department of Mathematics, Imperial College, 180 Queen's Gate, London SW7 2BZ, United Kingdom c The Abdus Salam International Centre for Theoretical Physics, P.O. Box 586, 34100, Trieste, Italy d The Andronikashvili Institute of Physics, Tamarashvili 6, 380077, Tbilisi, Georgia |
| 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 generalized 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. |
| Keywords: | Fermions in reduced dimensions Lattice fermion models Quantized spin models |
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