Vortex state of d-wave superconductors in the Ginzburg-Landau energy

Fanghua Lin; Tai Chia Lin

doi:10.1137/S0036141099353527

Vortex state of d-wave superconductors in the Ginzburg-Landau energy

Fanghua Lin, Tai Chia Lin

Mathematics

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

Abstract

We find a minimizer of a reduced form of the Ginzburg-Landau free energy for d-wave superconductors having distinct degree-one vortices. For a single vortex in the vortex core, we analytically recover the vortex structure with fourfold symmetry.

Original language	English (US)
Pages (from-to)	493-503
Number of pages	11
Journal	SIAM Journal on Mathematical Analysis
Volume	32
Issue number	3
DOIs	https://doi.org/10.1137/S0036141099353527
State	Published - 2000

Keywords

Ginzburg-Landau energy
Superconductor
Vortex
d-wave

ASJC Scopus subject areas

Analysis
Computational Mathematics
Applied Mathematics

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10.1137/S0036141099353527

Cite this

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title = "Vortex state of d-wave superconductors in the Ginzburg-Landau energy",

abstract = "We find a minimizer of a reduced form of the Ginzburg-Landau free energy for d-wave superconductors having distinct degree-one vortices. For a single vortex in the vortex core, we analytically recover the vortex structure with fourfold symmetry.",

keywords = "Ginzburg-Landau energy, Superconductor, Vortex, d-wave",

author = "Fanghua Lin and Lin, {Tai Chia}",

year = "2000",

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AU - Lin, Tai Chia

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AB - We find a minimizer of a reduced form of the Ginzburg-Landau free energy for d-wave superconductors having distinct degree-one vortices. For a single vortex in the vortex core, we analytically recover the vortex structure with fourfold symmetry.

KW - Ginzburg-Landau energy

KW - Superconductor

KW - Vortex

KW - d-wave

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Vortex state of d-wave superconductors in the Ginzburg-Landau energy

Abstract

Keywords

ASJC Scopus subject areas

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