Berezinskii-Kosterlitz-Thouless paired phase in coupled XY models

G. Bighin, N. Defenu, I. Nándori, L. Salasnich, A. Trombettoni, Physical Review Letters 123 (2019) 100601.


Journal Article | Published | English
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Abstract
We study the effect of a linear tunneling coupling between two-dimensional systems, each separately exhibiting the topological Berezinskii-Kosterlitz-Thouless (BKT) transition. In the uncoupled limit, there are two phases: one where the one-body correlation functions are algebraically decaying and the other with exponential decay. When the linear coupling is turned on, a third BKT-paired phase emerges, in which one-body correlations are exponentially decaying, while two-body correlation functions exhibit power-law decay. We perform numerical simulations in the paradigmatic case of two coupled XY models at finite temperature, finding evidences that for any finite value of the interlayer coupling, the BKT-paired phase is present. We provide a picture of the phase diagram using a renormalization group approach.
Publishing Year
Date Published
2019-09-06
Journal Title
Physical Review Letters
Volume
123
Issue
10
Article Number
100601
ISSN
eISSN
IST-REx-ID

Cite this

Bighin G, Defenu N, Nándori I, Salasnich L, Trombettoni A. Berezinskii-Kosterlitz-Thouless paired phase in coupled XY models. Physical Review Letters. 2019;123(10):100601. doi:10.1103/physrevlett.123.100601
Bighin, G., Defenu, N., Nándori, I., Salasnich, L., & Trombettoni, A. (2019). Berezinskii-Kosterlitz-Thouless paired phase in coupled XY models. Physical Review Letters, 123(10), 100601. https://doi.org/10.1103/physrevlett.123.100601
Bighin, Giacomo, Nicolò Defenu, István Nándori, Luca Salasnich, and Andrea Trombettoni. “Berezinskii-Kosterlitz-Thouless Paired Phase in Coupled XY Models.” Physical Review Letters 123, no. 10 (2019): 100601. https://doi.org/10.1103/physrevlett.123.100601.
G. Bighin, N. Defenu, I. Nándori, L. Salasnich, and A. Trombettoni, “Berezinskii-Kosterlitz-Thouless paired phase in coupled XY models,” Physical Review Letters, vol. 123, no. 10, p. 100601, 2019.
Bighin G, Defenu N, Nándori I, Salasnich L, Trombettoni A. 2019. Berezinskii-Kosterlitz-Thouless paired phase in coupled XY models. Physical Review Letters. 123(10), 100601.
Bighin, Giacomo, et al. “Berezinskii-Kosterlitz-Thouless Paired Phase in Coupled XY Models.” Physical Review Letters, vol. 123, no. 10, American Physical Society (APS), 2019, p. 100601, doi:10.1103/physrevlett.123.100601.

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arXiv 1907.06253

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