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The Hall conductivity in the mixed state of a clean ($l \gg \xi_0$) type-II s-wave superconductor is determined from a microscopic calculation within a quasiclassical approximation. We find that below the superconducting transition the…

Superconductivity · Physics 2009-10-28 I. Vekhter , A. Houghton

Results of the investigation of fluctuation phenomena in bulk type-II superconductors obtained in 1980 - 1984 years are compared with the analogous results obtained at the investigation of high-Tc superconductors (HTSC). It is shown the…

Superconductivity · Physics 2007-05-23 A. V. Nikulov

In this paper we investigate the elastic properties of the vortex lattice for a superconducting film of finite thickness. We derive an analytic expression for the compression modulus. The shear modulus is evaluated numerically by using both…

Superconductivity · Physics 2007-05-23 Edson Sardella

The flux line lattice melting transition in two-dimensional pure and disordered superconductors is studied by a Monte Carlo simulation using the lowest Landau level approximation and quasi-periodic boundary condition on a plane. The…

Superconductivity · Physics 2009-11-07 Mai Suan Li , Thomas Nattermann

Superfluid helium is an intimate mixture of a viscous normal fluid, with continuous vorticity, and an inviscid superfluid, where vorticity is constrained to thin, stable topological defects. One mechanism to generate turbulence in this…

Fluid Dynamics · Physics 2015-06-17 A. W. Baggaley , S. Laizet

We study the effects of thermal fluctuations on symmetric tensionless heterogeneous (two-component) fluid membranes in a simple minimal model. Close to the critical point $T_c$ of the associated miscibility phase transition of the…

Statistical Mechanics · Physics 2015-06-23 Tirthankar Banerjee , Abhik Basu

The fluctuation conductivity of a moderately clean type II superconductor with strong Pauli paramagnetic pair-breaking (PPB) is studied by focusing on the quantum regime at low temperatures and in high magnetic fields. First, it is pointed…

Superconductivity · Physics 2022-05-25 Naratip Nunchot , Dai Nakashima , Ryusuke Ikeda

We study the effects of an $ab$-surface on the vortex-solid to vortex-liquid transition in layered superconductors in the limit of vanishing inter-layer Josephson coupling. We derive the interaction between pancake vortices in a…

Superconductivity · Physics 2009-11-11 A. De Col , G. I. Menon , V. B. Geshkenbein , G. Blatter

We carry out MC studies of 2D superconducting networks, in an applied magnetic field, for square and honeycomb geometries. We consider both dilute systems (f=1/q) and systems near full frustration (f=1/2-1/q). For the dilute case (which…

Condensed Matter · Physics 2009-10-22 M. Franz , S. Teitel

The concept of the transition of type II superconductor into the Abrikosov state as the appearance of long-range phase coherence is considered. It is shown that this transition should be first order in ideal (without disorder)…

Superconductivity · Physics 2007-05-23 A. V. Nikulov

Helicity, a measure of the breakage of reflectional symmetry representing the topology of turbulent flows, contributes in a crucial way to their dynamics and to their fundamental statistical properties. We review several of their main…

Plasma Physics · Physics 2022-02-16 Annick Pouquet , Nobumitsu Yokoi

Based on the vortex dynamics with the Magnus force and a two-fluid model we have derived a set of explicit expressions between the Nernst and Seebeck coefficients, and the Hall and longitudinal resistivities in the linear response regime of…

Condensed Matter · Physics 2008-02-03 P. Ao

The effect of fluctuations on the transport and thermodynamic properties of two-dimensional superconductors in a magnetic field is studied at low temperature. The fluctuation conductivity is calculated in the framework of the perturbation…

Superconductivity · Physics 2009-10-31 Victor Galitski , A. I. Larkin

The problem of the giant vortex state around a magnetic dot which is embedded in a superconducting film is investigated. The full non-linear, self-consistent Ginzburg-Landau equations are solved numerically in order to calculate the free…

Condensed Matter · Physics 2009-10-28 I. K. Marmorkos , A. Matulis , F. M. Peeters

We study a mean-field model of superconducting vortices in a II-type superconductor. We prove the global solvability of the problem about a flux of superconducting vortices through a given domain and also analyse the regularity of weak…

Analysis of PDEs · Mathematics 2024-09-25 S. N. Antontsev , N. V. Chemetov

We find that in ultraclean heavy-fermion superconductor URu$_2$Si$_2$ ($T_{c0}=1.45$ K) a distinct flux line lattice melting transition with outstanding characters occurs well below the mean-field upper critical fields. We show that a very…

Monte Carlo simulations of the frustrated 2D XY model were carried out at small commensurate values of the frustration $f$. For $f=1/30$ a single transition was observed at which phase coherence (finite helicity modulus) and vortex lattice…

Condensed Matter · Physics 2016-08-31 SA Hattel , JM Wheatley

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…

supr-con · Physics 2009-10-28 Ernst Helmut Brandt

Theory of melting of the vortex lattice in type II superconductors in the framework of Ginzburg - Landau approach is presented. The melting line location is determined and magnetization and specific heat jumps along it are calculated. The…

Superconductivity · Physics 2007-05-23 Dingping Li , Baruch Rosenstein

Magneto-optical observations of a second flux front, which occurs at the second peak in the magnetization of Bi_2 Sr_2 CaCu_2 O_x single crystals related to the known first order ``vortex-lattice melting'', are reconsidered. We show that,…

Superconductivity · Physics 2007-05-23 M. V. Indenbom , E. H. Brandt , C. J. van der Beek , M. Konczykowski