Low-Magnetic Field Critical Behavior in Strongly Type-II Superconductors
arXiv:cond-mat/9505126 · doi:10.1103/PhysRevB.51.16204
Abstract
A new description is proposed for the low-field critical behavior of type-II superconductors. The starting point is the Ginzburg-Landau theory in presence of an external magnetic field H. A set of fictitious vortex variables and a singular gauge transformation are used to rewrite a finite H Ginzburg-Landau functional in terms of a complex scalar field of zero average vorticity. The continuum limit of the transformed problem takes the form of an H = 0 Ginzburg-Landau functional for a charged field coupled to a fictitious `gauge' potential which arises from long wavelength fluctuations in the background liquid of field-induced vorticity. A possibility of a novel phase transition involving zero vorticity degrees of freedom and formation of a uniform condensate is suggested. A similarity to the superconducting [Higgs] electrodynamics and the nematic-smectic-A transition in liquid crystals is noted. The experimental situation is discussed.
19 pages RevTeX, one figure available by fax [email requests to [email protected]], to appear in Physical Review B1
References in corpus (5)
Cited by in corpus (26)
- The Flux-Line Lattice in Superconductors
- Critical fluctuations in superconductors and the magnetic field penetration depth
- Tunneling conductance in - and d-wave superconductor-graphene junctions: Extended Blonder-Tinkham-Klapwijk formalism
- Topological phase-fluctuations, amplitude fluctuations, and criticality in extreme type-II superconductors
- Extreme Type-II Superconductors in a Magnetic Field: A Theory of Critical Fluctuations
- Onsager Loop-Transition and First Order Flux-Line Lattice Melting in High- Superconductors
- Universal Phase Diagram for Vortex States of Layered Superconductors in Strong Magnetic Fields
- Phase-coherence and the boson-analogy of vortex liquids
- 3D XY and lowest Landau level fluctuations in deoxygenated YBCO thin films
- Continuum dual theory of the transition in 3D lattice superconductor
- A new broken U(1)-symmetry in extreme type-II superconductors
- Magnetization Jump in a Model for Flux Lattice Melting at Low Magnetic Fields
- Flux-line entanglement as the mechanism of melting transition in high-temperature superconductors in a magnetic field
- Phase-transitions in isotropic extreme type-II superconductors
- Correlation Lengths in the Vortex Line Liquid of a High Tc Superconductor
- Universal properties for linelike melting of the vortex lattice
- Nature of the Low Field Transition in the Mixed State of High Temperature Superconductors
- Statistical mechanics of vortices from field theory
- Vortex duality: watching the dual side with order propagators
- 3D XY scaling theory of the superconducting phase transition
- Viscoelasticity and Surface Tension at the Defect-Induced First-Order Melting Transition of a Vortex Lattice
- Monte-Carlo calculation of longitudinal and transverse resistivities in a model Type-II superconductor
- In Search of the Vortex Loop Blowout Transition for a type-II Superconductor in a Finite Magnetic Field
- Effects of boundaries and density inhomogeneity on states of vortex matter in Bose--Einstein condensates at finite temperature
- Entanglement in Dilute Flux Line Liquids
- Hydrodynamics of liquids of arbitrarily curved flux-lines and vortex loops