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We analyze the response of a type II superconducting wire to an external magnetic field parallel to it in the framework of Ginzburg-Landau theory. We focus on the surface superconductivity regime of applied field between the second and…

Superconductivity · Physics 2017-12-06 Michele Correggi , Bharathiganesh Devanarayanan , Nicolas Rougerie

We review some recent results on the phenomenon of surface superconductivity in the framework of Ginzburg-Landau theory for extreme type-II materials. In particular, we focus on the response of the superconductor to a strong longitudinal…

Mathematical Physics · Physics 2021-06-30 Michele Correggi

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

Surface superconductivity is studied within Ginzburg-Landau theory for two classes of models for the order parameter of UPt$_{3}$. The first class assumes two independent one-dimensional order parameters ($AB$ models), while the second…

Condensed Matter · Physics 2009-10-28 Ding Chuan Chen , Anupam Garg

We study the superconducting order parameter near a surface with the Bogoliubov-de Gennes formalism. For definiteness we use the attractive Hubbard model. Near a surface, the order parameter and the density distribution exhibit…

Superconductivity · Physics 2009-11-10 K. Tanaka , F. Marsiglio

A self-consistent Bogoliubov deGennes theory of the vortex lattice state in a 2D strong type-II superconductor at high magnetic fields reveals a novel quantum mixed state around the semiclassical Hc2, characterized by a well-defined…

Superconductivity · Physics 2017-01-11 Vladimir Zhuravlev , Wenye Duan , Tsofar Maniv

Two-dimensional semiconductor-superconductor heterostructures form the foundation of numerous nanoscale physical systems. However, measuring the properties of such heterostructures, and characterizing the semiconductor in-situ is…

Superconductivity · Physics 2024-05-01 Serafim S. Babkin , Andrew P. Higginbotham , Maksym Serbyn

The Fermi surface topology of the organic superconductor \lbets has been determined using the Shubnikov-de Haas and magnetic breakdown effects and angle-dependent magnetoresistance oscillations. The former experiments were carried out in…

Superconductivity · Physics 2009-11-07 Charles Mielke , John Singleton , Moon-Sun Nam , Neil Harrison , C. C. Agosta , B. Fravel , L. K. Montgomery

The self-consistent solutions of a nonlinear Ginzburg--Landau equations, which describe the behavior of a superconducting plate of thickness 2D in a magnetic field H parallel to its surface (provided that there are no vortices inside the…

Superconductivity · Physics 2007-05-23 G. F. Zharkov

We report calculations of the electronic structure and magnetic properties of YFe$_2$Ge$_2$ and discuss the results in terms of the observed superconductivity near magnetism. We find that YFe$_2$Ge$_2$ is a material near a magnetic quantum…

Superconductivity · Physics 2014-01-22 David J. Singh

The electronic structure of low-density n-type SrTiO3 delta-doped heterostructures is investigated by angular dependent Shubnikov-de Haas oscillations. In addition to a controllable crossover from a three- to two-dimensional Fermi surface,…

Strongly Correlated Electrons · Physics 2015-05-27 M. Kim , C. Bell , Y. Kozuka , M. Kurita , Y. Hikita , H. Y. Hwang

Type-II superconductivity is known to persist close to the sample surface in presence of a strong magnetic field. As a consequence, the ground state energy in the Ginzburg-Landau theory is approximated by an effective one-dimensional model.…

Mathematical Physics · Physics 2021-11-04 Michele Correggi , Emanuela L. Giacomelli

The phenomenon of flat bands pinned to the Fermi surface is analyzed on the basis of the Landau-Pitaevskii relation, which is applicable to electron systems of solids. It is shown that the gross properties of normal states of high-$T_c$…

Superconductivity · Physics 2015-05-11 V. A. Khodel , J. W. Clark , V. R. Shaginyan , M. V. Zverev

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

We study the 2D Ginzburg-Landau theory for a type-II superconductor in an applied magnetic field varying between the second and third critical value. In this regime the order parameter minimizing the GL energy is concentrated along the…

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

We study the Ginzburg-Landau model of superconductivity in three dimensions and for strong external magnetic fields. For magnetic field strengths above the phenomenologically defined second critical field it is known from Physics that…

Mathematical Physics · Physics 2011-10-20 S. Fournais , A. Kachmar , M. Persson

We investigate, within 2D Ginzburg-Landau theory, the ground state of a type-II superconducting cylinder in a parallel magnetic field varying between the second and third critical values. In this regime, superconductivity is restricted to a…

Mathematical Physics · Physics 2019-10-01 Michele Correggi , Nicolas Rougerie

We discuss an effect of the electrostatic field on superconductivity near the surface. First, we use the microscopic theory of de Gennes to show that the electric field changes the boundary condition for the Ginzburg-Landau function.…

Superconductivity · Physics 2011-12-14 Pavel Lipavsky , Jan Kolacek , Klaus Morawetz

Self-consistent solutions of the Ginzburg-Landau system of equations, which describe the order parameter and the magnetic field distribution in a long superconducting cylinder of finite radius R, in external magnetic field H, when vortex…

Superconductivity · Physics 2007-05-23 G. F. Zharkov , V. G. Zharkov , A. Yu. Zvetkov

We consider an extreme type-II superconducting wire with non-smooth cross section, i.e., with one or more corners at the boundary, in the framework of the Ginzburg-Landau theory. We prove the existence of an interval of values of the…

Mathematical Physics · Physics 2017-01-20 M. Correggi , E. L. Giacomelli
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