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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

In this article, we investigate the existence of nematic-superconducting states in the Ginzburg-Landau regime, both analytically and numerically. From the configurations considered, a slab and a cylinder with a circular cross-section, we…

Superconductivity · Physics 2024-01-25 Mariano De Leo , Juan Pablo Borgna , Diego García Ovalle

We study the interplay between superconductivity and altermagnetism in disordered systems using recently derived quantum kinetic transport equations. Starting from this framework, we derive the Ginzburg-Landau free energy and identify, in…

Superconductivity · Physics 2026-05-05 Rodrigo de las Heras , Tim Kokkeler , Stefan Ilić , Ilya V. Tokatly , F. Sebastian Bergeret

We will describe a new superconductivity mechanism, proposed by the authors in [1], which is based on a topologically ordered ground state rather than on the usual Landau mechanism of spontaneous symmetry breaking. Contrary to anyon…

High Energy Physics - Theory · Physics 2007-05-23 M. C. Diamantini , P. Sodano , C. A. Trugenberger

The critical dynamics of superconductors in the charged regime is reconsidered within field-theory. For the dynamics the Ginzburg-Landau model with complex order parameter coupled to the gauge field suggested earlier [Lannert et al. Phys.…

Superconductivity · Physics 2007-05-23 M. Dudka , R. Folk , G. Moser

In the framework of Landau theory of phase transitions one is interested to describe all the possible low symmetry ``superconducting'' phases allowed for a given superconductor crystal and to determine the conditions under which this…

Mathematical Physics · Physics 2007-05-23 Vittorino Talamini

We present new estimates on the two-dimensional Ginzburg-Landau energy of a type-II superconductor in an applied magnetic field varying between the second and third critical fields. In this regime, superconductivity is restricted to a thin…

Mathematical Physics · Physics 2019-10-01 M. Correggi , N. Rougerie

We use group theory to classify the superconducting states of systems with two orbitals on a tetragonal lattice. The orbital part of the superconducting gap function can be either symmetric or anti-symmetric. For the orbital symmetric…

Superconductivity · Physics 2008-08-20 Yi Zhou , Weiqiang Chen , Fu-chun Zhang

We formulate a spectral problem related to the onset of superconductivity for a generalized Ginzburg-Landau model, where the order parameter and the magnetic potential are defined in the whole space. This model is devoted to the `proximity…

Mathematical Physics · Physics 2007-06-14 Ayman Kachmar

We describe a novel superconducting phase that arises due to a pairing instability of the half-metallic antiferromagnetic (HM AFM) normal state. This single spin superconducting (SSS) phase contains broken time reversal symmetry in addition…

Superconductivity · Physics 2009-10-30 Robert E. Rudd , Warren E. Pickett

A Ginzburg-Landau free energy for a superconducting chiral p-wave order parameter is derived from a two-dimensional tight binding lattice model with weak spin-orbit coupling included as a general symmetry-breaking field. Superconductivity…

Superconductivity · Physics 2018-07-18 Fredrik Nicolai Krohg , Asle Sudbø

Recent experimental evidence suggests the presence of an unconventional, nodal surface-su\-per\-con\-duc\-ting state in trigonal PtBi\textsubscript{2}. We construct a Ginzburg--Landau theory for the three superconducting order parameters,…

Superconductivity · Physics 2025-10-31 Harald Waje , Fabian Jakubczyk , Jeroen van den Brink , Carsten Timm

Reentrant superconductivity in strong magnetic fields challenges the conventional expectation that magnetic fields necessarily suppress superconductivity. We show that reentrant superconducting instability can arise from the competition…

Superconductivity · Physics 2026-05-18 Jun Goryo

We study the distribution of bulk superconductivity in presence of an applied magnetic field, supposed to be a step function, modeled by the Ginzburg-Landau theory. Our results are valid for the minimizers of the two-dimensional…

Analysis of PDEs · Mathematics 2015-11-30 Wafaa Assaad , Ayman Kachmar

In Ginzburg-Landau Theory of superconductivity, the density and location of the superconducting electrons are measured by a complex-valued wave function, the order parameter. In this paper, when the intensity of the applied magnetic field…

Analysis of PDEs · Mathematics 2016-10-31 Ayman Kachmar

We discuss transport properties of fully spin-polarized triplet superconductors, where only electrons of one spin component (along a certain axis) are paired. Due to the structure of the order parameter space, wherein phase and spin…

Superconductivity · Physics 2021-01-20 Eyal Cornfeld , Mark S. Rudner , Erez Berg

Ginzburg-Landau (GL) equations for the coexistent states of superconductivity and magnetism are derived microscopically from the extended Hubbard model with on-site repulsive and nearest-neighbor attractive interactions. In the derived GL…

Superconductivity · Physics 2013-03-07 Kazuhiro Kuboki , Keiji Yano

This is a model study for the emergence of superconductivity in ferromagnetically ordered phases of cubic materials whose crystal structure lacks inversion symmetry. A Ginzburg-Landau-type theory is used to find the ferromagnetic state and…

Superconductivity · Physics 2011-10-20 Titus Neupert , Manfred Sigrist

Traditional studies that combine spintronics and superconductivity have mainly focused on the injection of spin-polarized quasiparticles into superconducting materials. However, a complete synergy between superconducting and magnetic orders…

Mesoscale and Nanoscale Physics · Physics 2015-10-14 Jacob Linder , Jason W. A. Robinson

Pair spin-orbit interaction can emerge in strongly-interacting systems characterized by a large spin-orbit coupling. Here we study the role of this interaction in stabilizing ordered and unconventional superconducting phases. We find that,…

Superconductivity · Physics 2025-07-30 Feng Liu , Alessandro Principi
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