Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2009-09-02
Phys. Rev. B 80, 245418 (2009)
Physics
Condensed Matter
Statistical Mechanics
Scientific paper
10.1103/PhysRevB.80.245418
We calculate the finite-temperature shift of the critical wavevector $Q_{c}$ of the Pokrovsky-Talapov model using a renormalization-group analysis. Separating the Hamiltonian into a part that is renormalized and one that is not, we obtain the flow equations for the stiffness and an arbitrary potential. We then specialize to the case of a cosine potential, and compare our results to well-known results for the sine-Gordon model, to which our model reduces in the limit of vanishing driving wavevector Q=0. Our results may be applied to describe the commensurate-incommensurate phase transition in several physical systems and allow for a more realistic comparison with experiments, which are always carried out at a finite temperature.
Lazarides Achilleas
Smith Christopher M.
Tieleman Olivier
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