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We derive augmented quasiclassical equations of superconductivity with the Lorentz force in the Matsubara formalism so that the charge redistribution due to supercurrent can be calculated quantitatively. Using it, we obtain an analytic…

Superconductivity · Physics 2016-05-03 Hikaru Ueki , Wataru Kohno , Takafumi Kita

We construct numerically static vortex solutions in a holographic model of two-band superconductor with an interband Josephson coupling in both the superfluid and superconductor regime. We investigate the effects of the interband coupling…

High Energy Physics - Theory · Physics 2016-05-25 Mu-Sheng Wu , Shang-Yu Wu , Hai-Qing Zhang

The superfluid density is calculated theoretically for incompressible vortex lattices in two dimensions that have isolated dislocations quenched in by a random arrangement of pinned vortices. The latter are assumed to be sparse and to be…

Superconductivity · Physics 2007-05-23 J. P. Rodriguez

We investigate the pinning and driven dynamics of vortices interacting with twin boundaries using large scale molecular dynamics simulations on samples with near one million pinning sites. For low applied driving forces, the vortex lattice…

Superconductivity · Physics 2016-08-31 C. Reichhardt , C. J. Olson , Franco Nori

We present an analysis of the magnetic field distribution in the Abrikosov lattice of high-$\kappa$ superconductors with singlet pairing in the case where the critical field is mainly determined by the Pauli limit and the superfluid…

Superconductivity · Physics 2015-05-20 V. P. Michal , V. P. Mineev

We study the properties of vortex solutions and magnetic response of two-component $U(1)\times U(1)\times\mathbb{Z}_2$ superconductors, with phase separation driven by intercomponent density-density interaction. Such a theory can be viewed…

Superconductivity · Physics 2015-01-06 Julien Garaud , Egor Babaev

We study the 2D full Ginzburg-Landau energy with a periodic rapidly oscillating, discontinuous and [strongly] diluted pinning term using a perturbative argument. This energy models the state of an heterogeneous type II supercon-ductor…

Analysis of PDEs · Mathematics 2019-04-05 Mickaël Dos Santos

We study the dynamics of quantized superfluid vortices on axisymmetric compact surfaces with no holes, where the total vortex charge must vanish and the condition of irrotational flow forbids distributed vorticity. A conformal…

Quantum Gases · Physics 2022-02-16 Mônica A. Caracanhas , Pietro Massignan , Alexander L. Fetter

We develop a description of the mixed state of type II superconductivity valid within a wide range of temperatures and external magnetic fields. It is based on the quasiclassical version of microscopic BCS theory and employs an expansion in…

Superconductivity · Physics 2007-05-23 Anton Knigavko , Frank Marsiglio

Quasiparticle transport in the vortex state of an s-wave superconductor at T -> 0 was investigated by measuring the thermal conductivity of LuNi_2B_2C down to 70 mK in a magnetic field perpendicular to the heat current. In zero field, there…

Superconductivity · Physics 2007-05-23 Etienne Boaknin , R. W. Hill , Cyril Proust , C. Lupien , Louis Taillefer , P. C. Canfield

We study vortex charging caused by the Lorentz force on supercurrent based on the augmented quasiclassical equa- tions of superconductivity. Our numerical study on an s-wave vortex lattice in the range $H_{{\rm{c}}1} < H < H_{{\rm{c}}2}$…

Superconductivity · Physics 2016-08-03 Wataru Kohno , Hikaru Ueki , Takafumi Kita

The visualization of the magnetic responses of a two-dimensional (2D) superconducting material on the nanoscale is a powerful approach to unravel the underlying supercurrent behavior and to investigate critical phenomena in reduced…

In type-II superconductors, the dynamics of superconducting vortices determine their transport properties. In the Ginzburg-Landau theory, vortices correspond to topological defects in the complex order parameter. Extracting their precise…

Superconductivity · Physics 2015-06-23 C. L. Phillips , T. Peterka , D. Karpeyev , A. Glatz

We show that the ground state of a weakly charged two-dimensional electron-hole fluid in a strong magnetic field is a broken translation symmetry state with interpenetrating lattices of localized vortices and antivortices in the…

Mesoscale and Nanoscale Physics · Physics 2025-05-28 Bo Zou , Allan H. MacDonald

Theories, simulations and experiments on vortex dynamics in quasi-two-dimensional magnetic materials are reviewed. These materials can be modelled by the classical two-dimensional anisotropic Heisenberg model with XY (easy-plane) symmetry.…

Condensed Matter · Physics 2007-05-23 F. G. Mertens , A. R. Bishop

A controlled local enhancement of superconductivity yields unexpected modifications in the vortex dynamics. This local enhancement has been achieved by designing an array of superconducting Nb nanostructures embedded in a V superconducting…

A gel consists of a network of particles or molecules formed for example using the sol-gel process, by which a solution transforms into a porous solid. Particles or molecules in a gel are mainly organized on a scaffold that makes up a…

Starting from the time-dependent Ginzburg-Landau (TDGL) equations for a type II superconductor, we derive the equations of motion for the displacement field of a moving vortex lattice without inertia or pinning. We show that it is linearly…

Condensed Matter · Physics 2009-10-31 R. Aditi Simha , Sriram Ramaswamy

We study some functionals that describe the density of vortex lines in superconductors subject to an applied magnetic field, and in Bose-Einstein condensates subject to rotational forcing, in quite general domains in 3 dimensions. These…

Mathematical Physics · Physics 2015-06-03 Sisto Baldo , Robert L. Jerrard , Giandomenico Orlandi , H. Mete Soner

Strains in superconductors due to moving vortices and vortex lattices are discussed. It is shown that the energy stored in elastic strains increases with vortex velocity. For moving vortex lattices, the elastic energy depends on velocity…

Superconductivity · Physics 2019-12-04 V. G. Kogan
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