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We develop the Ginzburg-Landau theory of the vortex lattice in clean isotropic three-dimensional superconductors at large Maki parameter, when inhomogeneous Fulde-Ferrell-Larkin-Ovchinnikov state is favored. We show that diamagnetic…

Superconductivity · Physics 2015-03-31 M. Houzet , V. P. Mineev

We study the infimum of the Ginzburg-Landau functional in the case of a vanishing external magnetic field in a two dimensional simply connected domain. We obtain an energy asymptotics which is valid when the Ginzburg-Landau parameter is…

Analysis of PDEs · Mathematics 2015-03-17 Bernard Helffer , Ayman Kachmar

We introduce a stochastic model for a passive magnetic field in a three dimensional thin domain. The velocity field, white in time and modelling phenomenologically a turbulent fluid, acts on the magnetic field as a transport-stretching…

Probability · Mathematics 2024-02-06 Federico Butori , Franco Flandoli , Eliseo Luongo

We study the magnetization dynamics of thin-film magnetic elements with in-plane magnetization subject to a spin-current flowing perpendicular to the film plane. We derive a reduced partial differential equation for the in-plane…

Mesoscale and Nanoscale Physics · Physics 2016-10-26 Ross G. Lund , Gabriel D. Chaves O'Flynn , Andrew D. Kent , Cyrill B. Muratov

The magnetic response of a proximity-coupled superconductor-normal metal sandwich is studied within the framework of the quasiclassical theory. The magnetization is evaluated for finite values of the applied magnetic field (linear and…

Condensed Matter · Physics 2009-10-28 W. Belzig , C. Bruder , Gerd Schön

We consider the Ginzburg-Landau energy for a type-I superconductor in the shape of an infinite three-dimensional slab, with two-dimensional periodicity, with an applied magnetic field which is uniform and perpendicular to the slab. We…

Analysis of PDEs · Mathematics 2015-07-06 Sergio Conti , Felix Otto , Sylvia Serfaty

In this work we consider the asymptotic behavior of the nonlinear semigroup defined by a semilinear parabolic problem with homogeneous Neumann boundary conditions posed in a bounded region of the plane that degenerates into a line segment…

Analysis of PDEs · Mathematics 2013-12-05 Marcone C. Pereira

We consider the $N$-component Ginzburg-Landau model in the large $N$ limit, the system being embedded in an external constant magnetic field and confined between two parallel planes a distance $L$ apart from one another. On physical…

Superconductivity · Physics 2009-11-10 L. M. Abreu , A. P. C. Malbouisson , J. M. C. Malbouisson , A. E. Santana

Within D=4 N=1 supergravity theory we obtain an effective theory of the thin wall limit for a flat domain wall configuration, interpolating between isolated supersymmetric extrema of the matter potential. We focus on the Z_2 symmetric flat…

High Energy Physics - Phenomenology · Physics 2009-09-17 Francisco A. Brito , Mirjam Cvetic , SangChul Yoon

We study the response of a superconductor with a strong spin-orbit coupling on an external magnetic field. The Ginzburg-Landau free energy functional is derived microscopically for a general crystal structure, both with and without an…

Superconductivity · Physics 2009-11-10 K. V. Samokhin

A simulation study for the magnetization process is performed for the multi-domain state in a chiral p-wave superconductor, using the time-dependent Ginzburg-Landau theory. The external field penetrates inside as core-less vortices through…

Superconductivity · Physics 2007-08-01 Masanori Ichioka , Yasushi Matsunaga , Kazushige Machida

The article reviews recent developments on magnetic properties of superconductors with anisotropic Cooper pairing. In particular, we show how the concept of broken symmetries is applied to the investigation of the mixed state in…

Condensed Matter · Physics 2016-08-31 I. A. Luk'yanchuk , M. E. Zhitomirsky

We derive a generalized Ginzburg-Landau (GL) functional near the tricritical point in the (T,H)-phase diagram for the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) superconducting state, in 1,2, and 3 dimensions. We find that the transition from…

Superconductivity · Physics 2016-08-31 A. I. Buzdin , H. Kachkachi

Within a Ginzburg-Landau formalism we establish analytically the necessary and sufficient conditions to realize a doubly degenerate superconducting ground state with broken time-reversal symmetry (BTRS) in a multi-band superconductor. Using…

Superconductivity · Physics 2017-12-05 Y. Yerin , A. Omelyanchouk , S. -L. Drechsler , D. V. Efremov , J. van den Brink

The basic Landau model for the incommensurate-commensurate transition to the uniform or dimerized uniaxial ordering is critically reexamined. The previous analyses identified only sinusoidal and homogeneous solutions as thermodynamically…

Condensed Matter · Physics 2009-10-22 V. Dananic , A. Bjelis , Zagreb , Croatia

In this work, the Ginzburg-Landau theory is represented on a symplectic manifold with a phase space content. The order parameter is defined by a quasi-probability amplitude, which gives rise to a quasi-probability distribution function,…

Superconductivity · Physics 2024-06-21 E. A. Reis , G. X. A. Petronilo , R. G. G. Amorim , H. Belich , F. C. Khanna , A. E. Santana

A Ginzburg-Landau theory is developed for unconventional superconductors with the three relevant singlet pairing channels. Various consequences of the sub-dominant channels (i.e., s- and d_{xy}-channels) are examined in detail. (1) In the…

Superconductivity · Physics 2009-10-31 Qiang-Hua Wang , Z. D. Wang , Q. Li

In this Letter, the dynamic phase transitions of the time-dependent Ginzburg-Landau equations are analyzed using a newly developed dynamic transition theory and a new classification scheme of dynamics phase transitions. First, we…

Superconductivity · Physics 2007-10-30 Tian Ma , Shouhong Wang

Several experimental studies have shown the presence of spatially inhomogeneous phase coexistence of superconducting and non superconducting domains in low dimensional organic superconductors. The superconducting properties of these systems…

Superconductivity · Physics 2015-05-30 Sonia Haddad , Samia Charfi-Kaddour , Jean-Paul Pouget

The importance of accounting for the inhomogeneity of the magnetic field distribution and roundness of domain walls near the surface of type-I superconductors in the intermediate state for forming the equilibrium flux structure was…

Superconductivity · Physics 2020-08-03 V. Kozhevnikov , A. Suter , T. Prokscha , C. Van Haesendonck