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We show that gapless superconductivity of a strongly type-II superconductor in a high magnetic field prevails in the presence of disorder, suggesting a topological nature. We calculate the density of states of the Bogoliubov-de Gennes…

超导电性 · 物理学 2009-10-31 P. D. Sacramento

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…

超导电性 · 物理学 2017-01-11 Vladimir Zhuravlev , Wenye Duan , Tsofar Maniv

We present an analysis of the Ginzburg-Landau equations for the description of a two-dimensional superconductor in a bounded domain. Using the properties of a special integrability point of these equations which allows vortex solutions, we…

介观与纳米尺度物理 · 物理学 2016-08-31 E. Akkermans , K. Mallick

We study the magnon spectrum in a thin ferromagnetic-superconductor heterostructure in the presence of a single superconducting vortex. We employ the Bogolubov-de Gennes Hamiltonian which describes the magnons in the presence of the stray…

介观与纳米尺度物理 · 物理学 2024-09-17 D. S. Katkov , S. S. Apostoloff , I. S. Burmistrov

The magnetic field distribution, the magnetic flux, and the free energy of an Abrikosov vortex loop near a flat surface of type--II superconductors are calculated in the London approximation. The shape of such a vortex line is a semicircle…

supr-con · 物理学 2009-10-30 Alexey V. Samokhvalov

The origin of the vortex-core states in s-wave and d_{x^2-y^2}-wave superconductors is investigated by means of some selected numerical experiments. By relaxing the self-consistency condition in the Bogoliubov-de Gennes equations and tuning…

超导电性 · 物理学 2007-05-23 C. Berthod

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…

超导电性 · 物理学 2025-12-04 Igor Timoshuk , Egor Babaev

We investigate quasiparticle states associated with an isolated vortex in a d-wave superconductor using a self-consistent Bogoliubov-de Gennes formalism. For a pure $d_{x^2-y^2}$ superconductor we find that there exist no bound states in…

超导电性 · 物理学 2007-05-23 M. Franz , Z. Tešanović

We study vortex solutions in a holographic model of Herzog, Hartnoll, and Horowitz, with a vanishing external magnetic field on the boundary, as is appropriate for vortices in a superfluid. We study relevant length scales related to the…

高能物理 - 理论 · 物理学 2011-02-28 Ville Keranen , Esko Keski-Vakkuri , Sean Nowling , K. P. Yogendran

By analytically solving the Bogoliubov-de Gennes equations we study the fermion bound states at the center of the core of a vortex in a two-dimensional superconductor. We consider three kinds of 2D superconducting models: (a) a standard…

超导电性 · 物理学 2020-11-11 Haoyun Deng , Nicholas Bonesteel , Pedro Schlottmann

The bosonization and duality rules in three-dimensions are applied to analyze some features of superfluids and superconductors. The energy of an ensemble of vortices in a superfluid is recovered by means of a kind of bound which, to some…

高能物理 - 理论 · 物理学 2015-06-26 N. C. Ribeiro , R. F. Sobreiro , S. P. Sorella

We develop the helicity modulus as a criterion for superconducting order in the mixed phase of a fluctuating type II superconductor. We show that there is a duality relation between this helicity modulus and the superfluid density of a…

超导电性 · 物理学 2009-10-30 Tao Chen , S. Teitel

In type-II superconductors that contain a lattice of magnetic moments, vortices polarize the magnetic system inducing additional contributions to the vortex mass, vortex viscosity, and vortex-vortex interaction. Extra magnetic viscosity is…

超导电性 · 物理学 2011-02-01 A. Shekhter , L. N. Bulaevskii , C. D. Batista

We consider the Bogolubov-de Gennes equations giving an equivalent formulation of the BCS theory of superconductivity. We are interested in the case when the magnetic field is present. We (a) discuss their general features, (b) isolate key…

数学物理 · 物理学 2019-02-12 Ilias , Chenn , Israel Michael Sigal

Traditionally, superconductors are categorized as type-I or type-II. Type-I superconductors support only Meissner and normal states, while type-II superconductors form magnetic vortices in sufficiently strong applied magnetic fields.…

超导电性 · 物理学 2016-08-31 Egor Babaev , J. Martin Speight

A method is presented to solve the Bogoliubov-de Gennes equations with arbitrary distributions of vortices. The real-space Green's function approach based on Chebyshev polynomials is complemented by a gauge transformation which allows one…

超导电性 · 物理学 2016-11-29 C. Berthod

Quantized vortices in type-II superconductors provide insights into the mechanisms of superconductivity. However, the generation of antivortices, characterized by magnetization antiparallel to the external magnetic field, remains less…

In a type II superconductor the gap variation in the core of a vortex line induces a local charge modulation. Accounting for metallic screening, we determine the line charge of individual vortices and calculate the electric field…

凝聚态物理 · 物理学 2009-10-28 Gianni Blatter , Mikhail Feigel'man , Vadim Geshkenbein , Anatoli Larkin , Anne van Otterlo

We investigate the vortex bound states both Schrodinger and Dirac Hamiltonian with the s-wave superconducting pairing gap by solving the mean-field Bogoliubov-de-Gennes equations. The exact vortex bound states spectrum is numerically…

强关联电子 · 物理学 2017-03-21 Chi-Ho Cheng

The magnetic response is a state-defining property of superconductors. The magnetic flux penetrates type-II bulk superconductors by forming quantum vortices when the enclosed magnetic flux is equal to the magnetic flux quantum. The flux…

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