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arXiv · 1710.01000

Kosterlitz-Thouless signatures in the low-temperature phase of layered three-dimensional systems

Adam Rançon·Nicolas Dupuis
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Abstract

We study the quasi-two-dimensional quantum O(2) model, a quantum generalization of the Lawrence-Doniach model, within the nonperturbative renormalization-group approach and propose a generic phase diagram for layered three-dimensional systems with an O(2)-symmetric order parameter. Below the transition temperature we identify a wide region of the phase diagram where the renormalization-group flow is quasi-two-dimensional for length scales smaller than a Josephson length $l_J$, leading to signatures of Kosterlitz-Thouless physics in the temperature dependence of physical observables. In particular the order parameter varies as a power law of the interplane coupling with an exponent which depends on the anomalous dimension (itself related to the stiffness) of the strictly two-dimensional low-temperature Kosterlitz-Thouless phase.

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BibTeXRIS

Adam Rançon, Nicolas Dupuis. 2018-01-16. Kosterlitz-Thouless signatures in the low-temperature phase of layered three-dimensional systems. https://doi.org/10.1103/physrevb.96.214512

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