Precision Ginzburg-Landau Solution of Ideal Vortex Lattices for Any Induction and Symmetry
- 17 March 1997
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 78 (11) , 2208-2211
- https://doi.org/10.1103/physrevlett.78.2208
Abstract
A method is presented that solves the Ginzburg-Landau equations for the ideal Abrikosov vortex lattice in type-II superconductors with high precision for arbitrary induction, Ginzburg-Landau parameter, and vortex lattice symmetry. This iteration procedure excels previous one-dimensional circular cell methods and approximate variational methods, and is easily adapted to anisotropic and unconventional superconductors. Selected results are given for the order parameter, the form factors of the periodic magnetic field measurable by neutron scattering, reversible magnetization curves, and the shear modulus of the vortex lattice, which could not be obtained by previous methods.Keywords
This publication has 13 references indexed in Scilit:
- Virial theorem and Abrikosov’s solution of the Ginzburg-Landau equationsPhysical Review B, 1991
- Model for the reversible magnetization of high-κ type-II superconductors: Application to high-superconductorsPhysical Review B, 1991
- Virial theorem for Ginzburg-Landau theories with potential applications to numerical studies of type-II superconductorsPhysical Review B, 1989
- The Flux‐Line Lattice in Type‐II SuperconductorsPhysica Status Solidi (b), 1987
- Simple model for the vortex core in a type II superconductorJournal of Low Temperature Physics, 1975
- Ginsburg‐Landau Theory of the Vortex Lattice in Type‐I1 Superconductors for All Values of ϰ and BPhysica Status Solidi (b), 1972
- Singularities in the magnetic field map of type II pure superconductorsJournal of Low Temperature Physics, 1972
- Wigner-Seitz approximation for the description of the mixed state of type II superconductorsPhysica Status Solidi (b), 1971
- Die Behandlung von Fehlern im Fußliniengitter der Supraleiter 2. Art in der Nähe von Hc2Physica Status Solidi (b), 1969
- Zu Abrikosovs Theorie der periodischen L sungen der GL-Gleichungen f r Supraleiter 2. ArtThe European Physical Journal A, 1964