On the shape of interlayer vortices in the Lawrence--Doniach model
From MaRDI portal
Publication:5423896
DOI10.1090/S0002-9947-07-04188-8zbMath1132.35081WikidataQ60143350 ScholiaQ60143350MaRDI QIDQ5423896
Etienne Sandier, Lia Bronsard, Stanley Alama
Publication date: 1 November 2007
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
PDEs in connection with optics and electromagnetic theory (35Q60) Variational methods for elliptic systems (35J50) Statistical mechanics of superconductors (82D55) Perturbations of PDEs on manifolds; asymptotics (58J37)
Related Items
On stability of Abrikosov vortex lattices, Abrikosov vortex lattices at weak magnetic fields, Minimizers of the Lawrence-Doniach functional with oblique magnetic fields, Local behavior of smooth functions for the energy Laplacian on the Sierpinski gasket, On the Lawrence-Doniach model of superconductivity: magnetic fields parallel to the axes, Vortex analysis of the periodic Ginzburg-Landau model, ON MATHEMATICAL MODELS FOR BOSE–EINSTEIN CONDENSATES IN OPTICAL LATTICES, Differential equations of quantum mechanics
Cites Work
- Unnamed Item
- Lower bounds for the energy of unit vector fields and applications
- Minimizers of the Lawrence--Doniach energy in the small-coupling limit: Finite width samples in a parallel field
- Vortices for a variational problem related to superconductivity
- PERIODIC VORTEX LATTICES FOR THE LAWRENCE–DONIACH MODEL OF LAYERED SUPERCONDUCTORS IN A PARALLEL FIELD
- Lower Bounds for Generalized Ginzburg--Landau Functionals
- On the Lawrence–Doniach and Anisotropic Ginzburg–Landau Models for Layered Superconductors
- LOCAL MINIMIZERS FOR THE GINZBURG–LANDAU ENERGY NEAR CRITICAL MAGNETIC FIELD: PART I
- Analysis of Solutions to the Lawrence--Doniach System for Layered Superconductors
- Ginzburg-Landau vortices