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Thermodynamics of type II superconductors in electromagnetic field based on the Ginzburg - Landau theory is presented. The Abrikosov flux lattice solution is derived using an expansion in a parameter characterizing the "distance" to the…

Superconductivity · Physics 2015-05-13 Baruch Rosenstein , Dingping Li

We study the metastability of the superheated Meissner state in type II superconductors with k >> 1 beyond Ginzburg-Landau theory, which is applicable only in the vicinity of the critical temperature. Within Eilenberger's semiclassical…

Superconductivity · Physics 2008-12-18 G. Catelani , James P. Sethna

We calculate the possible interaction between a superconductor and the static Earth's gravitational fields, making use of the gravito-Maxwell formalism combined with the time-dependent Ginzburg-Landau theory. We try to estimate which are…

General Relativity and Quantum Cosmology · Physics 2022-03-24 G. A. Ummarino , A. Gallerati

Thermal conductivity of superconducting MgB2 was studied in both the superconducting and the normal state region. The latter is almost equally determined by the electronic - and the lattice contribution to the total thermal conductivity. In…

Superconductivity · Physics 2007-05-23 E. Bauer , Ch. Paul , St. Berger , S. Majumdar , H. Michor , M. Giovannini , A. Saccone , A. Bianconi

An alternate set of equations to describe the electrodynamics of superconductors at a macroscopic level is proposed. These equations resemble equations originally proposed by the London brothers but later discarded by them. Unlike the…

Strongly Correlated Electrons · Physics 2009-11-10 J. E. Hirsch

The vortex-vortex interaction potential in bulk superconductors is calculated within the Ginzburg-Landau (GL) theory and is obtained from a numerical solution of a set of two coupled non-linear GL differential equations for the vector…

Superconductivity · Physics 2015-05-19 Andrey Chaves , F. M. Peeters , G. A. Farias , M. Milošević

The Gaussian Effective Potential in a fixed transverse unitarity gauge is studied for the static three-dimensional U(1) scalar electrodynamics (Ginzburg-Landau phenomenological theory of superconductivity). In the broken-symmetry phase the…

Superconductivity · Physics 2007-05-23 M. Camarda , G. G. N. Angilella , R. Pucci , F. Siringo

Since the concept of spin superconductor was proposed, all the related studies concentrate on spin-polarized case. Here, we generalize the study to spin-non-polarized case. The free energy of non-polarized spin superconductor is obtained,…

Superconductivity · Physics 2017-11-20 Peng Lv , Zhi-qiang Bao , Ai-Min Guo , X. C. Xie , Qing-Feng Sun

We numerically investigate the phenomenological nonlocal Ginzburg-Landau Hamiltonian for two-dimensional superconductors in a strong magnetic field by Langevin equation. We obtain a regular vortex lattice which is very near to the square…

Superconductivity · Physics 2009-10-30 Ayumi Fujita

Building on the earlier work of Odeh, Barany, Golubitsky, Turski and Lasher we give a proof of existence of Abrikosov vortex lattices in the Ginzburg-Landau model of superconductivity.

Mathematical Physics · Physics 2009-11-13 T. Tzaneteas , I. M. Sigal

Abrikosov's solution of the linearized Ginzburg-Landau theory describing a periodic lattice of vortex lines in type-II superconductors at large inductions, is generalized to non-periodic vortex arrangements, e.g., to lattices with a vacancy…

Superconductivity · Physics 2008-06-09 Ernst Helmut Brandt

The Budd-Vannimenus theorem is modified to apply to superconductors in the Meissner state. The obtained identity links the surface value of the electrostatic potential to the density of free energy at the surface which allows one to…

Superconductivity · Physics 2009-11-10 P. Lipavsky , K. Morawetz , J. Kolacek , J. J. Mares , E. H. Brandt , M. Schreiber

The chemical potential of the electron gas on a one-dimensional lattice is determined within the discrete Hubbard model. The result will have applications in studies of transport properties of quasi one-dimensional organic conductors such…

Condensed Matter · Physics 2007-05-23 V. Celebonovic

Motivated by the superconductivity of $M_x$Bi$_2$Se$_3$, we study topological excitations in a nematic superconductor using Ginzburg-Landau theory. An isolated excitation at low field is shown to be either a distorted phase vortex or a…

Superconductivity · Physics 2020-11-11 Pye Ton How , Sung-Kit Yip

It is expected that in the interior of compact stars a proton superconductor coexists with and couples to a neutron superfluid. Starting from a field-theoretical model for two complex scalar fields - one of which is electrically charged -…

High Energy Astrophysical Phenomena · Physics 2017-04-10 Alexander Haber , Andreas Schmitt

By applying a hydrodynamic representation of non-relativistic scalar electrodynamics to the superconducting order parameter, we predict a negative (attractive) pressure between planar superconducting bodies. For conventional superconductors…

We study vortices in p-wave superconductors in a Ginzburg-Landau setting. The state of the superconductor is described by a pair of complex wave functions, and the p-wave symmetric energy functional couples these in both the kinetic…

Analysis of PDEs · Mathematics 2014-11-18 Stan Alama , Lia Bronsard , Xavier Lamy

We study the thermodynamics of electrode-electrolyte systems, for instance supercapacitors filled with an ionic liquid or blue-energy devices filled with river- or sea water. By a suitable mapping of thermodynamic variables, we identify a…

Soft Condensed Matter · Physics 2012-11-07 René van Roij

In strongly magnetized backgrounds, electrically charged vector bosons can condense. When considering the rho-meson sector of QCD, this results in the existence of a superconducting state with Abrikosov vortices. As a next order effect,…

High Energy Physics - Phenomenology · Physics 2012-01-05 Jos Van Doorsselaere

We investigate the vortex lattice solution in a (2+1)-dimensional holographic model of superconductors constructed from a charged scalar condensate. The solution is obtained perturbatively near the second-order phase transition and is a…

High Energy Physics - Theory · Physics 2010-01-27 Kengo Maeda , Makoto Natsuume , Takashi Okamura