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Vortex matter in mesoscopic superconductors is known to be strongly affected by the geometry of the sample. Here we show that in nanoscale superconductors with coherence length comparable to the Fermi wavelength the shape resonances of the…

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

By numerically solving the Bogoliubov-de Gennes equations, we report a novel $\pi$-type vortex state whose order parameter near the core undergoes an extraordinary $\pi$-phase change for a quantum-confined extreme type-II $s$-wave…

Superconductivity · Physics 2023-07-25 Haiyan Huang , Qing Liu , Wenhui Zhang , Yajiang Chen

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…

Superconductivity · Physics 2007-05-23 C. Berthod

Making use of the Bogoliubov-de Gennes equation for the d-wave superconductors, we investigate the quasi-particle spectrum around a single vortex. Taking $p_F\xi=10$, we found that there are bound states which are localized around the…

Superconductivity · Physics 2009-10-31 Masaru Kato , Kazumi Maki

Superconductivity in flat-band systems, governed by quantum metric of Bloch states rather than the BCS framework, exhibits unique phenomena due to the vanishing electron group velocity. Here, we propose the vortex states and vortex size as…

Superconductivity · Physics 2025-05-06 Chuang Li , Fu-Chun Zhang , Lun-Hui Hu

On the basis of the Bogoliubov-de Gennes theory for the two-dimensional extended Hubbard model, the vortex structure in d-wave superconductors is investigated including the contribution of the induced incommensurate antiferromagnetism…

Superconductivity · Physics 2007-05-23 Mitsuaki Takigawa , Masanori Ichioka , Kazushige Machida

The vortex structure in superconducting stripe states is studied according to the Bogoliubov-de Gennes theory on the two-dimensional Hubbard model with nearest-neighbor sites pairing interaction. The vortex is trapped at the outside region…

Superconductivity · Physics 2009-10-31 Masanori Ichioka , Mitsuaki Takigawa , Kazushige Machida

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

The microscopic properties of a single vortex in a dilute superfluid Fermi gas at zero temperature are examined within the framework of self-consistent Bogoliubov-de Gennes theory. Using only physical parameters as input, we study the pair…

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

The temperature dependence of an isolated quantum vortex, embedded in an otherwise homogeneous fermionic superfluid of infinite extent, is determined via the Bogoliubov-de Gennes (BdG) equations across the BCS-BEC crossover. Emphasis is…

Superconductivity · Physics 2015-06-15 S. Simonucci , P. Pieri , G. C. Strinati

Making use of the Bogoliubov-de Gennes equation, we study the quasi-particle spectrum and the vortex core structure of a single vortex in quasi 2D s-wave superconductors for small $p_F\xi_0$, where $p_F$ is the Fermi momentum and…

Superconductivity · Physics 2009-10-31 Masaru Kato , Kazumi Maki

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

Making use of the Bogoliubov-de Gennes equation, we study the quasi-particle spectrum and the vortex core structure of a single vortex in quasi 2D s-wave superconductors for small p_F xi_0, where p_F is the Fermi momentum and…

Superconductivity · Physics 2009-10-31 Masaru Kato , Kazumi Maki

We investigate the behavior of vortex bound states in the quantum limit by self-consistently solving the Bogoliubov-de Gennes equation. We find that the energies of the vortex bound states deviates from the analytical result…

Superconductivity · Physics 2022-03-08 Xinwei Fan , Xiaoyu Chen , Huan Yang , Hai-Hu Wen

Vortex structures in mesoscopic cylinder placed in external magnetic field are studied under the general de Gennes boundary condition for the order parameter corresponding to the suppression of surface superconductivity. The Ginzburg-Landau…

Superconductivity · Physics 2009-11-07 W. V. Pogosov

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…

Mathematical Physics · Physics 2019-02-12 Ilias , Chenn , Israel Michael Sigal

A full quantum-mechanical treatment of the Bogoliubov-de Gennes equation for a single vortex in a d-wave superconductor is presented. First, we find low-energy states extended in four diagonal directions, which have no counterpart in a…

Superconductivity · Physics 2009-10-30 Y. Morita , M. Kohmoto , K. Maki

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

The d-wave vortex lattice state is studied within the framework of Bogoliubov-de Gennes (BdG) mean field theory. We allow antiferromagnetic (AFM) order to develop self-consistently along with d-wave singlet superconducting (dSC) order in…

Superconductivity · Physics 2009-11-07 Amit Ghosal , Catherine Kallin , A. John Berlinsky

The bound states that can occur in a superfluid vortex have recently called for attention owing to the capability of detecting them experimentally. However, a detailed theoretical account for the presence of these vortex bound states is…

Superconductivity · Physics 2019-07-01 S. Simonucci , P. Pieri , G. Calvanese Strinati
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