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We show that in two-gap Ginzburg-Landau model there is a wide range of parameters where the behaviour of the superconductor in external field can not be classified nor as type-I nor as type-II. In this regime the superconductor features a…

Superconductivity · Physics 2007-05-23 Egor Babaev

We study theoretically the vortex matter structure in low dimensional (LD) systems with superconducting order induced by proximity to a bulk superconductor. We analyze the effects of microscopic coupling mechanisms between the two systems…

Superconductivity · Physics 2019-04-15 N. B. Kopnin , I. M. Khaymovich , A. S. Mel'nikov

Superconductors are of type I or II depending on whether they form an Abrikosov vortex lattice. Although bulk lead (Pb) is classified as a prototypical type-I superconductor, we observe single-flux-quantum and multiple-flux-quanta vortices…

We describe a semi-analytic approach to the two-band Ginzburg-Landau theory, which predicts the behavior of vortices in two-band superconductors. We show that the character of the short-range vortex-vortex interaction is determined by the…

Superconductivity · Physics 2011-07-18 A. Chaves , L. Komendová , M. V. Milošević , J. S. Andrade , G. A. Farias , F. M. Peeters

Thermodynamic properties of the multiband superconductor MgB$_{2}$ have often been described using a simple sum of the standard BCS expressions corresponding to $\sigma$- and $\pi$-bands. Although, it is \textit{a priori} not clear if this…

Superconductivity · Physics 2009-11-11 Oleg V. Dolgov , Reinhard K. Kremer , Jens Kortus , Alexander A. Golubov , Sergei V. Shulga

We investigate the behavior of vortices of multi-component superconductivity, realized in $\rm{MgB_2}$ and Fe-based superconductors, within the framework of Ginzburg-Landau (GL) theory in terms of numerical calculations of the…

Superconductivity · Physics 2011-12-05 Shi-Zeng Lin , Xiao Hu

Common models describing magnetotransport properties of periodically modulated two--dimensional systems often either directly start from a semiclassical approach or give results well conceivable within the semiclassical framework. Recently,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Karel Vyborny , Ludvik Smrcka

We analyze in detail the superconductivity that arises in an extended Hubbard model describing a multiband system with repulsive interactions. We show that virtual interband processes induce an effective attractive interaction for small…

Superconductivity · Physics 2022-07-22 Valentin Crépel , Tommaso Cea , Liang Fu , Francisco Guinea

The vortex core structure in a d-wave superconductor is analyzed on the basis of the quasi-classical Eilenberger theory beyond the Ginzburg-Landau framework. The current and magnetic field distributions around an isolated vortex break…

Condensed Matter · Physics 2009-10-28 M. Ichioka , N. Hayashi , N. Enomoto , K. Machida

We study superconducting three-band systems within strong-coupling Eliashberg theory. In particular, we search for phase-frustrated superconducting systems with spontaneous time-reversal symmetry breaking (TRSB) states. The emergence of…

Superconductivity · Physics 2023-12-08 Niels Henrik Aase , Kristian Mæland , Asle Sudbø

In a single-component Ginzburg-Landau model which possesses thermodynamically stable vortex excitations, the zero-field superconducting phase transition is second order even when fluctuations are included. Beyond the mean-field…

Superconductivity · Physics 2015-04-20 Hannes Meier , Egor Babaev , Mats Wallin

To understand the superconductivity in MgB2, several two-band models of superconductivity were proposed. In this paper, by using the relativistic fermion model, we clearize the effect of the lower band in the superconductivity.

Superconductivity · Physics 2007-05-23 Tadafumi Ohsaku

We study the peculiarities of coherency in a two-gap superconductor. The both intraband couplings, inducing superconductivity in the independent bands, and interband pair-transfer interaction have been taken into account. On the basis of…

Superconductivity · Physics 2012-06-28 Teet Örd , Küllike Rägo , Artjom Vargunin

This article is a review o over theory of superconductivity, which is constructed for systems with two overlapping energy bands at the Fermi surface and with arbitrary charge carrier density.There is taken into account all possible kinds of…

Superconductivity · Physics 2007-05-23 M. E. Palistrant

Eigenstate multifractality is a distinctive feature of non-interacting disordered metals close to a metal-insulator transition, whose properties are expected to extend to superconductivity. While multifractality in three dimensions (3D)…

We develop an alternative method to solve the Eilenberger equations numerically for the vortex-lattice states of type-II superconductors. Using it, we clarify the magnetic-field and impurity-concentration dependences of the magnetization,…

Superconductivity · Physics 2009-11-11 Koichi Watanabe , Takafumi Kita , Masao Arai

Molybdenum ditelluride (MoTe$_2$) is attracting considerable interest since it is the archetypal type-II Weyl semimetal and a candidate for topological superconductivity. We investigate the superconducting phase diagram of two MoTe$_2$…

Superconductivity · Physics 2021-09-13 Hari Paudyal , Samuel Poncé , Feliciano Giustino , Elena R. Margine

Several experimental observations of objects carrying fractional flux quanta in superconductors were recently reported. Here, we provide microscopic solutions for vortices carrying a variable fraction of magnetic flux quantum and domain…

Superconductivity · Physics 2025-12-04 Igor Timoshuk , Egor Babaev

Static vortices close together are studied for two different models in 2-dimen- sional Euclidean space. In a simple model for one complex field an expansion in the parameters describing the relative position of two vortices can be given in…

High Energy Physics - Theory · Physics 2015-06-25 J. Burzlaff , E. Kellegher

We present a microscopic study of the behavior of the order parameters near boundaries of a two-band superconducting material, described by the standard tight-binding Bardeen-Cooper-Schrieffer model. We find superconducting surface states.…

Superconductivity · Physics 2021-04-21 Andrea Benfenati , Albert Samoilenka , Egor Babaev