Thermodynamically stable vortex structures in thin superconducting disks

W. M. Wu; M. B. Sobnack; F. V. Kusmartsev

doi:10.1016/j.physc.2007.11.032

Thermodynamically stable vortex structures in thin superconducting disks

W. M. Wu, M. B. Sobnack, F. V. Kusmartsev

Physics

Loughborough University

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We investigate the formation of thermodynamically stable vortex structures in a small, thin superconducting disk. We formulate the Gibbs free energy of the disk with an arbitrary number of vortices as a function of applied magnetic field and valid at finite temperatures. We minimize the energy to obtain the optimal position of vortices for different applied fields and temperatures. We also analyze the stability of the different vortex states inside the disk and compare our results with available experimental observations. Our results are in very good agreement with experiments.

Original language	British English
Pages (from-to)	684-688
Number of pages	5
Journal	Physica C: Superconductivity and its applications
Volume	468
Issue number	7-10
DOIs	https://doi.org/10.1016/j.physc.2007.11.032
State	Published - 1 Apr 2008

Keywords

Anti-vortices
Magnetization
Mesoscopic
Vortices

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10.1016/j.physc.2007.11.032

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title = "Thermodynamically stable vortex structures in thin superconducting disks",

abstract = "We investigate the formation of thermodynamically stable vortex structures in a small, thin superconducting disk. We formulate the Gibbs free energy of the disk with an arbitrary number of vortices as a function of applied magnetic field and valid at finite temperatures. We minimize the energy to obtain the optimal position of vortices for different applied fields and temperatures. We also analyze the stability of the different vortex states inside the disk and compare our results with available experimental observations. Our results are in very good agreement with experiments.",

keywords = "Anti-vortices, Magnetization, Mesoscopic, Vortices",

author = "Wu, {W. M.} and Sobnack, {M. B.} and Kusmartsev, {F. V.}",

note = "Funding Information: We are grateful to I.V. Grigorieva, F. M. Peeters and V.R. Misko for many useful discussions about experimental observation and theoretical methods used to describe the formation of different vortex structures in mesoscopic superconducting disks. The work was supported by the European Science Foundation network-programmes, Arrays of Quantum Dots and Josephson Junctions and Nanoscience and Engineering Superconductivity.",

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doi = "10.1016/j.physc.2007.11.032",

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T1 - Thermodynamically stable vortex structures in thin superconducting disks

AU - Wu, W. M.

AU - Sobnack, M. B.

AU - Kusmartsev, F. V.

N1 - Funding Information: We are grateful to I.V. Grigorieva, F. M. Peeters and V.R. Misko for many useful discussions about experimental observation and theoretical methods used to describe the formation of different vortex structures in mesoscopic superconducting disks. The work was supported by the European Science Foundation network-programmes, Arrays of Quantum Dots and Josephson Junctions and Nanoscience and Engineering Superconductivity.

PY - 2008/4/1

Y1 - 2008/4/1

N2 - We investigate the formation of thermodynamically stable vortex structures in a small, thin superconducting disk. We formulate the Gibbs free energy of the disk with an arbitrary number of vortices as a function of applied magnetic field and valid at finite temperatures. We minimize the energy to obtain the optimal position of vortices for different applied fields and temperatures. We also analyze the stability of the different vortex states inside the disk and compare our results with available experimental observations. Our results are in very good agreement with experiments.

AB - We investigate the formation of thermodynamically stable vortex structures in a small, thin superconducting disk. We formulate the Gibbs free energy of the disk with an arbitrary number of vortices as a function of applied magnetic field and valid at finite temperatures. We minimize the energy to obtain the optimal position of vortices for different applied fields and temperatures. We also analyze the stability of the different vortex states inside the disk and compare our results with available experimental observations. Our results are in very good agreement with experiments.

KW - Anti-vortices

KW - Magnetization

KW - Mesoscopic

KW - Vortices

UR - http://www.scopus.com/inward/record.url?scp=44449160290&partnerID=8YFLogxK

U2 - 10.1016/j.physc.2007.11.032

DO - 10.1016/j.physc.2007.11.032

M3 - Article

AN - SCOPUS:44449160290

SN - 0921-4534

VL - 468

SP - 684

EP - 688

JO - Physica C: Superconductivity and its applications

JF - Physica C: Superconductivity and its applications

IS - 7-10

ER -

Thermodynamically stable vortex structures in thin superconducting disks

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Keywords

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