dorsal/arxiv
View SchemaThe Flux-Line Lattice in Superconductors
| Authors | Ernst Helmut Brandt |
|---|---|
| Categories | |
| ArXiv ID | supr-con/9506003 |
| URL | https://arxiv.org/abs/supr-con/9506003 |
| DOI | 10.1088/0034-4885/58/11/003 |
Abstract
Magnetic flux can penetrate a type-II superconductor in form of Abrikosov vortices. These tend to arrange in a triangular flux-line lattice (FLL) which is more or less perturbed by material inhomogeneities that pin the flux lines, and in high-$T_c$ supercon- ductors (HTSC's) also by thermal fluctuations. Many properties of the FLL are well described by the phenomenological Ginzburg-Landau theory or by the electromagnetic London theory, which treats the vortex core as a singularity. In Nb alloys and HTSC's the FLL is very soft mainly because of the large magnetic penetration depth: The shear modulus of the FLL is thus small and the tilt modulus is dispersive and becomes very small for short distortion wavelength. This softness of the FLL is enhanced further by the pronounced anisotropy and layered structure of HTSC's, which strongly increases the penetration depth for currents along the c-axis of these uniaxial crystals and may even cause a decoupling of two-dimensional vortex lattices in the Cu-O layers. Thermal fluctuations and softening may melt the FLL and cause thermally activated depinning of the flux lines or of the 2D pancake vortices in the layers. Various phase transitions are predicted for the FLL in layered HTSC's. The linear and nonlinear magnetic response of HTSC's gives rise to interesting effects which strongly depend on the geometry of the experiment.
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"abstract": "Magnetic flux can penetrate a type-II superconductor in form of Abrikosov\nvortices. These tend to arrange in a triangular flux-line lattice (FLL) which\nis more or less perturbed by material inhomogeneities that pin the flux lines,\nand in high-$T_c$ supercon- ductors (HTSC\u0027s) also by thermal fluctuations. Many\nproperties of the FLL are well described by the phenomenological\nGinzburg-Landau theory or by the electromagnetic London theory, which treats\nthe vortex core as a singularity. In Nb alloys and HTSC\u0027s the FLL is very soft\nmainly because of the large magnetic penetration depth: The shear modulus of\nthe FLL is thus small and the tilt modulus is dispersive and becomes very small\nfor short distortion wavelength. This softness of the FLL is enhanced further\nby the pronounced anisotropy and layered structure of HTSC\u0027s, which strongly\nincreases the penetration depth for currents along the c-axis of these uniaxial\ncrystals and may even cause a decoupling of two-dimensional vortex lattices in\nthe Cu-O layers. Thermal fluctuations and softening may melt the FLL and cause\nthermally activated depinning of the flux lines or of the 2D pancake vortices\nin the layers. Various phase transitions are predicted for the FLL in layered\nHTSC\u0027s. The linear and nonlinear magnetic response of HTSC\u0027s gives rise to\ninteresting effects which strongly depend on the geometry of the experiment.",
"arxiv_id": "supr-con/9506003",
"authors": [
"Ernst Helmut Brandt"
],
"categories": [
"supr-con",
"cond-mat.supr-con"
],
"doi": "10.1088/0034-4885/58/11/003",
"title": "The Flux-Line Lattice in Superconductors",
"url": "https://arxiv.org/abs/supr-con/9506003"
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