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Quasiparticle states around a single vortex in a $p_x\pm i p_y$-wave superconductor are studied on the basis of the Bogoliubov-de Gennes (BdG) theory, where both charge and current screenings are taken into account. Due to the violation of…

Superconductivity · Physics 2009-11-07 Masashige Matsumoto , Rolf Heeb

The quasiparticle spectrum of a two-dimensional d-wave superconductor in the mixed state, H_{c1} << H << H_{c2}, is studied both analytically and numerically using the linearized Bogoliubov-de Gennes equation. We consider various values of…

Superconductivity · Physics 2009-10-31 Luca Marinelli , B. I. Halperin , S. H. Simon

We introduce a simple model of the low energy electronic states in the vicinity of a vortex undergoing quantum zero-point motion in a d-wave superconductor. The vortex is treated as a point flux tube, carrying pi-flux of an auxiliary U(1)…

Superconductivity · Physics 2010-07-16 Predrag Nikolic , Subir Sachdev , Lorenz Bartosch

We study vortices in p-wave superconductors in a Ginzburg-Landau setting. The state of the superconductor is described by a pair of complex wave functions, and the p-wave symmetric energy functional couples these in both the kinetic…

Analysis of PDEs · Mathematics 2014-11-18 Stan Alama , Lia Bronsard , Xavier Lamy

The quasiparticle resonant states around a single nonmagnetic impurity with unitary scattering in a d-wave superconductor is studied by solving the Bogoliubov-de Gennes equations based on a t-J model. Both the spatial variation of the order…

Superconductivity · Physics 2009-10-31 Jian-Xin Zhu , T. K. Lee , C. S. Ting , Chia-Ren Hu

We systematically construct vector solitary waves in harmonically trapped one-dimensional two-component Bose-Einstein condensates with unequal dispersion coefficients by a numerical continuation in chemical potentials from the respective…

Quantum Gases · Physics 2023-06-28 Wenlong Wang

We investigate the quasiparticle spectrum of a d-wave superconductor in the mixed state, focussing on the effects of varying the in-plane angular alignment (or tilting) of the vortex and crystal lattices. Our approach starts with a…

Superconductivity · Physics 2007-08-01 Michael A. Hermele , Luca Marinelli

We highlight the properties of a simple model (contained in our recent work) of the quantum dynamics of a single point vortex interacting with the nodal fermionic quasiparticles of a d-wave superconductor. We describe the renormalization of…

Strongly Correlated Electrons · Physics 2010-07-16 Predrag Nikolic , Subir Sachdev

We calculate the density of states of a disordered inhomogeneous d-wave superconductor in a magnetic field. The field-induced vortices are assumed to be pinned at random positions and the effects of the scattering of the quasi-particles off…

Superconductivity · Physics 2007-05-23 J. Lages , P. D. Sacramento , Z. Tesanovic

The distinctive features of the electronic structure of vortex states in superconducting graphene are studied within the Bogolubov-de Gennes theory applied to excitations near the Dirac point. We suggest a scenario describing the subgap…

Superconductivity · Physics 2011-09-15 I. M. Khaymovich , N. B. Kopnin , A. S. Mel'nikov , I. A. Shereshevskii

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

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

At the surface of a d-wave superconductor, a zero-energy peak in the quasiparticle spectrum can be observed. This peak appears due to Andreev bound states and is maximal if the nodal direction of the d-wave pairing potential is…

Superconductivity · Physics 2007-05-23 S. Graser , C. Iniotakis , T. Dahm , N. Schopohl

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

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 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

We investigate the quasiparticle density of states in disordered d-wave superconductors. By constructing a quantum map describing the quasiparticle dynamics in such a medium, we explore deviations of the density of states from its universal…

Superconductivity · Physics 2007-05-23 Inanc Adagideli , Philippe Jacquod

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

Multiply quantized vortices in the BCS-to-BEC evolution of p-wave resonant Fermi gases are investigated theoretically. The vortex structure and the low-energy quasiparticle states are discussed, based on the self-consistent calculations of…

Quantum Gases · Physics 2015-05-18 T. Mizushima , K. Machida

Low-energy quasiparticle states, arising from scattering by single-particle potentials in d-wave superconductors, are addressed. Via a natural extension of the Andreev approximation, the idea that sign-variations in the superconducting…

Superconductivity · Physics 2007-05-23 Inanc Adagideli , Paul M. Goldbart , Alexander Shnirman , Ali Yazdani