Pokrovsky-Talapov Model at finite temperature: a renormalization-group analysis

Abstract

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.

References in corpus (4)

• Exact evolution equation for the effective potential
• Functional renormalization group approach to the sine-Gordon model
• Pseudospin Soliton in the $\nu =1$ Bilayer Quantum Hall State
• Bilayer quantum Hall system at ${\nu }_t=1$: pseudospin models and in-plane magnetic field

Cited by in corpus (6)

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• Functional renormalization-group approach to the Pokrovsky-Talapov model via modified massive Thirring fermion model
• Dynamics of quantum discommensurations in the Frenkel-Kontorova chain
• Quantum simulation of spin-1/2 XYZ model using solid-state spin centers