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Charge density wave (CDW), the periodic modulation of the electronic charge density, will open a gap on the Fermi surface that commonly leads to decreased or vanishing conductivity. On the other hand superconductivity, a commonly believed…

The Ginzburg-Landau functional for a two-gap superconductor is derived within the weak-coupling BCS model. The two-gap Ginzburg-Landau theory is, then, applied to investigate various magnetic properties of MgB2 including an upturn…

Superconductivity · Physics 2007-05-23 M. E. Zhitomirsky , V. -H. Dao

The photo-response of a thin current-carrying superconducting stripe with a 90-degree turn is studied within the time-dependent Ginzburg-Landau theory. We show that the photon acting near the inner corner (where the current density is…

Superconductivity · Physics 2015-06-05 G. R. Berdiyorov , M. V. Milošević , F. M. Peeters

The Landau problem for inhomogeneous magnetic fields is examined in a very general context and several interesting analogies with the Nielsen-Olesen vortices are established. Firstly we show that the Landau problem with non-homogeneous…

High Energy Physics - Theory · Physics 2019-01-30 Paola Arias , J. Gamboa , F. Méndez , David Valenzuela

A boundary condition for the Ginzburg-Landau wave function at surfaces biased by a strong electric field is derived within the de Gennes approach. This condition provides a simple theory of the field effect on the critical temperature of…

Superconductivity · Physics 2009-11-11 P. Lipavsky , K. Morawetz , J. Kolacek , T. J. Yang

The effect of the lattice periodic potential on superconductivity which was ignored by BCS theory has been investigated. According to the effective mass approximation of band theory, the effect of lattice periodic potential can be embodied…

Superconductivity · Physics 2007-05-23 Zhongqing Wu , Xuanjia Zhang

Vortex dynamics in molybdenum-germanium superconducting films were found to well approximate the unpinned free limit even at low driving forces. This provided an opportunity to empirically establish the intrinsic character of free flux flow…

Superconductivity · Physics 2015-05-19 Manlai Liang , Milind N. Kunchur , Jiong Hua , Zhili Xiao

The vortex lattice structure in a d_{x^2-y^2}-wave superconductor is investigated near the upper critical magnetic field in the framework of the Ginzburg Landau theory extended by including the correction terms such as the higher order…

Superconductivity · Physics 2009-10-30 Masanori Ichioka , Naoki Enomoto , Kazushige Machida

The electronic nematic phase is characterized as an ordered state of matter with rotational symmetry breaking, and has been well studied in the quantum Hall system and the high-$T_c$ superconductors, regardless of cuprate or pnictide…

Superconductivity · Physics 2018-02-20 Da-Chuan Lu , Yang-Yang Lv , Jun Li , Bei-Yi Zhu , Qiang-Hua Wang , Hua-Bing Wang , Pei-Heng Wu

We complete our study of the three dimensional Ginzburg--Landau functional with magnetic field, in the asymptotic regime of a small inverse Ginzburg--Landau parameter $\varepsilon$, and near the first critical field $H_{c_1}$ for which the…

Analysis of PDEs · Mathematics 2025-10-20 Carlos Román , Etienne Sandier , Sylvia Serfaty

We derive a Ginzburg-Landau free energy for a p-wave ferromagnetic superconductor. The starting point is a microscopic Hamiltonian including a spin generalised BCS term and a Heisenberg exchange term. We find that coexistence of…

Superconductivity · Physics 2007-08-21 E. K. Dahl , A. Sudbo

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

There are very few materials in which ferromagnetism coexists with superconductivity due to the destructive effect of the magnetic exchange field on singlet Cooper pairs. The iron-based superconductor EuFe$_2$(As$_{1-x}$P$_x$)$_2$ is…

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

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

The interplay between disorder and vortex--vortex interactions in strongly disordered superconductors in a magnetic field can stabilize a vortex-glass state, characterized by strong pinning and the absence of positional order. Yet its role…

The interplay of the electron exchange interaction and spin-orbit coupling results in spontaneous supercurrents near magnetic insulator islands, which are placed on the top of a two-dimensional (2D) superconductor, and whose magnetization…

Superconductivity · Physics 2020-10-14 A. G. Mal'shukov

The influence of a magnetic field on superconductivity is usually described either phenomenologically, using Ginzburg-Landau theory, or semiclassically using Gor'kov theory. In this article we discuss the influence of magnetic fields on the…

Condensed Matter · Physics 2015-06-25 A. H. MacDonald , Hiroshi Akera , M. R. Norman

We discuss ultra-cold Fermi gases in two dimensions, which could be realized in a strongly confining one-dimensional optical lattice. We obtain the temperature versus effective interaction phase diagram for an s-wave superfluid and show…

Other Condensed Matter · Physics 2015-06-25 S. S. Botelho , C. A. R. Sa de Melo

In systems combining type-II superconductivity and magnetism the non-stationary magnetic field of moving Abrikosov vortices may excite spin waves, or magnons. This effect leads to the appearance of an additional damping force acting on the…

Superconductivity · Physics 2015-06-18 A. A. Bespalov , A. S. Mel'nikov , A. I. Buzdin