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arXiv · 2302.10335

Uniaxial modulation and the Berezinskii-Kosterlitz-Thouless transition

Domenico Giuliano·Phong H. Nguyen·Andrea Nava·Massimo Boninsegni
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Abstract

We present a theoretical study of the Berezinskii-Kosterlitz-Thouless transition of a two-dimensional superfluid in the presence of an externally imposed density modulation along a single axis. The subject is investigated in the context of the $|\psi|^4$ classical field theory, by means of analytical and numerical techniques. We show that, as the amplitude of the modulation increases, the physics of the system approaches that of the anisotropic $x$-$y$ model, with a suppressed superfluid transition temperature and an anisotropic response, but with no dimensional crossover.

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Domenico Giuliano, Phong H. Nguyen, Andrea Nava, Massimo Boninsegni. 2023-02-20. Uniaxial modulation and the Berezinskii-Kosterlitz-Thouless transition. https://doi.org/10.1103/physrevb.107.195439

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