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The Berezinskii–Kosterlitz–Thouless Transition and Melting Scenarios of Two-Dimensional Systems

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Abstract

The paper discusses current theories of melting of two-dimensional systems that are mainly based on the concepts of the Berezinskii–Kosterlitz–Thouless (BKT) theory of phase transitions in two-dimensional systems with continuous symmetry. At present there are three basic scenarios of melting of two-dimensional crystals that as shown by computer simulation are implemented in the two-dimensional system of Hertzian spheres used to describe the behavior of a number of soft matter systems. The system demonstrates complex phase behavior with the presence of all three melting scenarios in the various parts of the phase diagram.

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ACKNOWLEDGNMENTS

The authors are grateful to V.V. Brazhkin and D. Frenkel for their interest in the work and useful discussions of the different aspects of the topic. We would also like to thank M. Missiouriof for some encouraging remarks on the writing of this.

Funding

The research was carried out with support of the Russian Science Foundation (grant 19-12-00092).

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Authors and Affiliations

  1. Vereshchagin Institute of High Pressure Physics, Russian Academy of Sciences, 108840, Troitsk, Moscow, Russia

    V. N. Ryzhov, E. A. Gaiduk, E. E. Tareyeva, Yu. D. Fomin & E. N. Tsiok

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  1. V. N. Ryzhov
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  2. E. A. Gaiduk
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  3. E. E. Tareyeva
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  4. Yu. D. Fomin
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  5. E. N. Tsiok
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Correspondence to V. N. Ryzhov.

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Ryzhov, V.N., Gaiduk, E.A., Tareyeva, E.E. et al. The Berezinskii–Kosterlitz–Thouless Transition and Melting Scenarios of Two-Dimensional Systems. Phys. Part. Nuclei 51, 786–790 (2020). https://doi.org/10.1134/S1063779620040632

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  • DOI: https://doi.org/10.1134/S1063779620040632

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