D. Yu. Irz, V. N. Ryzhov, E. E. Tareeva, “The statistical mechanics of vortex system in thin superconducting film in cycle approximation. III. Finite size vortex core effects”, TMF, 107:1 (1996), 100–114; Theoret. and Math. Phys., 107:1 (1996), 499

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Teoreticheskaya i Matematicheskaya Fizika, 1996, Volume 107, Number 1, Pages 100–114
DOI: https://doi.org/10.4213/tmf1141 (Mi tmf1141)

This article is cited in 6 scientific papers (total in 6 papers)

The statistical mechanics of vortex system in thin superconducting film in cycle approximation. III. Finite size vortex core effects

D. Yu. Irz, V. N. Ryzhov, E. E. Tareeva

Institute for High Pressure Physics, Russian Academy of Sciences

Full-text PDF (275 kB) Citations (6)

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DOI: https://doi.org/10.4213/tmf1141

Abstract: The statistical mechanics of vortex system in two-dimensional superconductor is discussed in the frame of the cycle approximation. The finite size of vortex core and vortex core shape are taken into account. This effect leads to the crossover of the vortex–antivortex pair unbinding transition from the usual continuous Kosterlitz–Thouless-like behavior for large core energies to the first order transition for low energies.

Received: 28.06.1995

English version:
Theoretical and Mathematical Physics, 1996, Volume 107, Issue 1, Pages 499–510
DOI: https://doi.org/10.1007/BF02071457

Bibliographic databases:

Language: Russian

Citation: D. Yu. Irz, V. N. Ryzhov, E. E. Tareeva, “The statistical mechanics of vortex system in thin superconducting film in cycle approximation. III. Finite size vortex core effects”, TMF, 107:1 (1996), 100–114; Theoret. and Math. Phys., 107:1 (1996), 499–510

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/tmf1141

https://doi.org/10.4213/tmf1141

https://www.mathnet.ru/eng/tmf/v107/i1/p100

Cycle of papers

Statistical mechanics of vortex system in a thin-film superconductor in the ring approximation
V. N. Ryzhov, E. E. Tareeva
TMF, 1993, 96:3, 425–437
Statistical mechanics of vortex system in a thin superconducting film in cycle approximation II. Finite thickness and vortex bending
D. Yu. Irz, V. N. Ryzhov, E. E. Tareeva
TMF, 1995, 104:2, 337–347
The statistical mechanics of vortex system in thin superconducting film in cycle approximation. III. Finite size vortex core effects
D. Yu. Irz, V. N. Ryzhov, E. E. Tareeva
TMF, 1996, 107:1, 100–114

This publication is cited in the following 6 articles:

V. N Ryzhov, E. A Gayduk, E. E Tareeva, Yu. D Fomin, E. N Tsiok, “Stsenarii plavleniya dvumernykh sistem - vozmozhnosti komp'yuternogo modelirovaniya”, Žurnal èksperimentalʹnoj i teoretičeskoj fiziki, 164:1 (2023), 143
V. N. Ryzhov, E. A. Gaiduk, E. E. Tareeva, Yu. D. Fomin, E. N. Tsiok, “Melting Scenarios of Two-Dimensional Systems: Possibilities of Computer Simulation”, J. Exp. Theor. Phys., 137:1 (2023), 125
V. N. Ryzhov, E. E. Tareyeva, Yu. D. Fomin, E. N. Tsiok, “Complex phase diagrams of systems with isotropic potentials: results of computer simulations”, Phys. Usp., 63:5 (2020), 417–439
V. N. Ryzhov, E. E. Tareeva, “Possible scenarios of a phase transition from isotropic liquid to a hexatic phase in the theory of melting in two-dimensional systems”, Theoret. and Math. Phys., 200:1 (2019), 1053–1062
V. N. Ryzhov, E. E. Tareyeva, Yu. D. Fomin, E. N. Tsiok, “Berezinskii – Kosterlitz – Thouless transition and two-dimensional melting”, Phys. Usp., 60:9 (2017), 857–885
V. N. Ryzhov, A. F. Barabanov, M. V. Magnitskaya, E. E. Tareeva, “Theoretical studies of condensed matter”, Phys. Usp., 51:10 (2008), 1077–1083

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Full-text PDF :	230
References:	83
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