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Berezinskii-Kosterlitz-Thouless phase transitions with long-range couplings

The Berezinskii-Kosterlitz-Thouless (BKT) transition is the paradigmatic example of a topological phase transition without symmetry breaking, where a quasiordered phase, characterized by a power-law scaling of the correlation functions at low temperature, is disrupted by the proliferation of topolog...

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Bibliographic Details
Main Authors: Giachetti, Guido (Author) , Defenu, Nicolò (Author) , Ruffo, Stefano (Author) , Trombettoni, Andrea (Author)
Format: Article (Journal)
Language:English
Published: 5 October 2021
In: Physical review letters
Year: 2021, Volume: 127, Issue: 15, Pages: 1-7
ISSN:1079-7114
DOI:10.1103/PhysRevLett.127.156801
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevLett.127.156801
Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevLett.127.156801
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Author Notes:Guido Giachetti, Nicolò Defenu, Stefano Ruffo, Andrea Trombettoni
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Summary:The Berezinskii-Kosterlitz-Thouless (BKT) transition is the paradigmatic example of a topological phase transition without symmetry breaking, where a quasiordered phase, characterized by a power-law scaling of the correlation functions at low temperature, is disrupted by the proliferation of topological excitations above the critical temperature TBKT. In this Letter, we consider the effect of long-range decaying couplings ∼r−2−σ on the BKT transition. After pointing out the relevance of this nontrivial problem, we discuss the phase diagram, which is far richer than the corresponding short-range one. It features—for 7/4<σ<2—a quasiordered phase in a finite temperature range Tc<T<TBKT, which occurs between a symmetry broken phase for T<Tc and a disordered phase for T>TBKT. The transition temperature Tc displays unique universal features quite different from those of the traditional, short-range XY model. Given the universal nature of our findings, they may be observed in current experimental realizations in 2D atomic, molecular, and optical quantum systems.
Item Description:Gesehen am 14.09.2022
Physical Description:Online Resource
ISSN:1079-7114
DOI:10.1103/PhysRevLett.127.156801

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