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On the basis of the Bogoliubov--de Gennes theory we study the transformation of the quasiparticle spectrum in the mixed state of a mesoscopic superconductor, governed by an external magnetic field. We analyze the low energy part of the…

Superconductivity · Physics 2008-07-14 A. S. Mel'nikov , D. A. Ryzhov , M. A. Silaev

In this paper, we present a method to construct the eigenspace of the normal-state electrons moving in a 2D square lattice in presence of a perpendicular uniform magnetic field which imposes (quasi)-periodic boundary conditions for the wave…

Superconductivity · Physics 2009-12-17 Qiang Han

We theoretically study physical properties of the low-energy quasiparticle excitations at the vortex core in the full-gap superconducting state of the Kondo lattice coupled to compensated metals. Based on the mean-field description of the…

Superconductivity · Physics 2020-08-10 Shoma Iimura , Motoaki Hirayama , Shintaro Hoshino

The quasiparticle energy spectrum of an isolated vortex in a clean layered d-wave superconductor is calculated. The Bogoliubov--de Gennes equations are solved perturbatively, within the model of step-variation of the gap function, adjusting…

Superconductivity · Physics 2009-10-31 Irena Knezevic , Zoran Radovic

We present an accurate and robust numerical method to track quantized vortex lines in a superfluid described by the Gross-Pitaevskii equation. By utilizing the pseudo-vorticity field of the associated complex scalar order parameter of the…

Fluid Dynamics · Physics 2016-10-12 Alberto Villois , Giorgio Krstulovic , Davide Proment , Hayder Salman

The behavior of a dilute two-component superfluid Fermi gas subjected to rotation is investigated within the context of a weak-coupling BCS theory. The microscopic properties at finite temperature are obtained by iterating the Bogoliubov-de…

Superconductivity · Physics 2009-11-10 David L. Feder

We analyze theoretically and experimentally vortex configurations in mesoscopic superconducting squares. Our theoretical approach is based on the analytical solution of the London equation using Green's-function method. The potential-energy…

Superconductivity · Physics 2009-02-25 H. J. Zhao , V. R. Misko , F. M. Peeters , V. Oboznov , S. V. Dubonos , I. V. Grigorieva

Focusing on a quantum-limit behavior, we study a single vortex in a clean s-wave type-II superconductor by self-consistently solving the Bogoliubov-de Gennes equation. The discrete energy levels of the vortex bound states in the quantum…

Superconductivity · Physics 2016-08-31 N. Hayashi , T. Isoshima , M. Ichioka , K. Machida

Bogoliubov-de Gennes theory is used to investigate the effect of the size of a superconducting square on the vortex states in the quantum confinement regime. When the superconducting coherence length is comparable to the Fermi wavelength,…

Superconductivity · Physics 2014-01-20 L. -F. Zhang , L. Covaci , M. V. Milošević , G. R. Berdiyorov , F. M. Peeters

The vortex dynamics in mesoscopic superconducting cylinders with rectangular cross section under an axially applied magnetic field is investigated in the multivortex London regime. The rectangles considered range from a square up to an…

Superconductivity · Physics 2007-05-23 Clécio C. de Souza Silva , Leonardo R. E. Cabral , J. Albino Aguiar

Harnessing the properties of vortices in superconductors is crucial for fundamental science and technological applications; thus, it has been an ongoing goal to locally probe and control vortices. Here, we use a scanning probe technique…

Quantized bound states at a vortex core are discretized in YNi$_2$B$_2$C. By using scanning tunneling spectroscopy with an unprecedented 0.1 nm spatial resolution, we find and identify the localized spectral structure, where in addition to…

We study vortex-like solutions to the Lifshitz-Chern-Simons theory. We find that such solutions exists and have a logarithmically divergent energy, which suggests that a Kostelitz-Thouless transition may occur, in which voxtex-antivortex…

Strongly Correlated Electrons · Physics 2015-03-20 Ignacio Salazar Landea , Nicolas Grandi , Guillermo A. Silva

We study the steady state motion of incompressible and viscous fluid flow in a rotating reference frame where vortices may take place. An approximated analytic solution of the Stokes flow problem is proposed for situations where the…

Fluid Dynamics · Physics 2018-11-06 Robert Salazar , Camilo Bayona

The structures of multiply quantized vortices (MQVs) of an equal-population atomic Fermi superfluid in a rotating spherical bubble trap approximated as a thin shell are analyzed by solving the Bogoliubov-de Gennes (BdG) equation throughout…

Quantum Gases · Physics 2023-11-02 Yan He , Chih-Chun Chien

We investigate a non-axisymmetric rotating BEC in a limit of rotation frequency for which the BEC transforms into a quasi-one-dimensional system. We compute the vortex lattice wavefunction by minimizing the Gross-Pitaevskii energy…

Statistical Mechanics · Physics 2009-11-11 P. Sanchez-Lotero , J. J. Palacios

We present a method for evolving the projected Gross-Pitaevskii equation in an infinite rotating Bose-Einstein condensate, the ground state of which is a vortex lattice. We use quasi-periodic boundary conditions to investigate the behaviour…

Quantum Gases · Physics 2020-09-16 R. Doran , T. P. Billam

Vortex structures in dilute quantum fluids are studied using the Gross-Pitaevskii equation. The velocity and momentum of multiply quantized vortex rings are determined and their core structures analysed. For flow past a spherical object, we…

Condensed Matter · Physics 2009-10-31 T. Winiecki , J. F. McCann , C. S. Adams

Electronic heat transport along the flux lines in a long ballistic mesoscopic superconductor cylinder with a radius of the order of several coherence lengths is investigated theoretically using both semiclassical approach and the full…

The structure of an isolated vortex in a dilute two-component neutral superfluid Fermi gas is studied within the context of self-consistent Bogoliubov-de Gennes theory. Various thermodynamic properties are calculated and the shift in the…

Soft Condensed Matter · Physics 2007-05-23 N. Nygaard , G. M. Bruun , B. I. Schneider , C. W. Clark , D. L. Feder
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