The sine-Gordon model's finite-temperature correlation functions are evaluated non-perturbatively via the Method of Random Surfaces, with an exact formula derived for N-point functions obeying a selection rule.
Application of Massive Integrable Quantum Field Theories to Problems in Condensed Matter Physics
3 Pith papers cite this work, alongside 28 external citations. Polarity classification is still indexing.
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abstract
We review applications of the sine-Gordon model, the O(3) non-linear sigma model, the U(1) Thirring model, and the O(N) Gross--Neveu model to quasi one-dimensional quantum magnets, Mott insulators, and carbon nanotubes. We focus upon the determination of dynamical response functions for these problems. These quantities are computed by means of form factor expansions of quantum correlation functions in integrable quantum field theories. This approach is reviewed here in some detail.
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Bosonization yields an explicit expression for Hall imbalance in N-leg bosonic ladders, with Hall resistance proportional to d(log charge stiffness)/d density for small fields.
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Finite temperature correlation functions of the sine--Gordon model
The sine-Gordon model's finite-temperature correlation functions are evaluated non-perturbatively via the Method of Random Surfaces, with an exact formula derived for N-point functions obeying a selection rule.
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Hall effect in multi-leg bosonic ladders
Bosonization yields an explicit expression for Hall imbalance in N-leg bosonic ladders, with Hall resistance proportional to d(log charge stiffness)/d density for small fields.
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