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Properties of the ideal Ginzburg-Landau vortex lattice

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Brandt, Ernst Helmut·2003·Physical Review B

Abstract

The magnetization curves $M(H)$ for ideal type-II superconductors and the maximum, minimum, and saddle-point magnetic fields of the vortex lattice are calculated from Ginzburg-Landau theory for the entire ranges of applied magnetic fields ${H}_{c1}<~H<~{H}_{c2}$ or induction $0<~B<~{\ensuremath{\mu}}_{0}{H}_{c2}$ and Ginzburg-Landau parameters ${2}^{\ensuremath{-}1/2}<~\ensuremath{\kappa}<~1000.$ Results for the triangular and square flux-line lattices are compared with the results of the circular cell approximation. The exact magnetic field $B(x,y)$ and magnetization $M(H,\ensuremath{\kappa})$ are compared with often used approximate expressions, some of which deviate considerably or have limited validity. Useful limiting expressions and analytical interpolation formulas are presented.

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Metadata

Authors
Brandt, E. H.
Venue
Physical Review B
Published
2003-08-06
Volume
68
Issue
5
ISSN
  • 0163-1829 (ISSN-L)
  • 1095-3795
OpenAlex
W1973904570
Cited by
332
References
5
FWCI
7.08
Type
journal article
Language
en
Open access
green

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Brandt, E. H. (2003). Properties of the ideal Ginzburg-Landau vortex lattice. Physical Review B. https://doi.org/10.1103/physrevb.68.054506

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