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Vortices in the simplest superconducting state of graphene contain very low energy excitations, whose existence is connected to an index theorem that applies strictly to an approximate form of the relevant Bogoliubov-deGennes equations.…

Superconductivity · Physics 2012-02-03 Pouyan Ghaemi , Frank Wilczek

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

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

We calculate the density of states of an inhomogeneous superconductor in a magnetic field where the positions of vortices are distributed completely at random. We consider both the cases of s-wave and d-wave pairing. For both pairing…

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

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…

Mesoscale and Nanoscale Physics · Physics 2024-09-17 D. S. Katkov , S. S. Apostoloff , I. S. Burmistrov

It has been demonstrated experimentally that non-axially symmetric vortices precess around the centre of a Bose-Einstein condensate. Two types of single vortex states have been observed, usually referred to as the S-vortex and the U-vortex.…

Other Condensed Matter · Physics 2009-11-11 S. Komineas , N. R. Cooper , N. Papanicolaou

The present work deals with the study of d-wave superconductor in presence of a single vortex placed at the centre of the 2D lattice using the $t-t'-J$ model within the renormalized mean field theory. It is found that the in absence of the…

Strongly Correlated Electrons · Physics 2012-05-09 Sanjay Gupta

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

A systematic perturbation theory is developed to describe the magnetic field-induced subdominant $s$- and $d_{xy}$-wave order parameters in the mixed state of a $d_{x^2-y^2}$-wave superconductor, enabling us to obtain, within weak-coupling…

Superconductivity · Physics 2009-10-31 Mei-Rong Li , P. J. Hirschfeld , P. Woelfle

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 excitation spectrum of isolated vortices in clean layered d-wave superconductors is calculated. A large peak in the density of states in the "pancake" vortex core is found, in an agreement with the recent experimental data…

Superconductivity · Physics 2007-05-23 Irena Knezevic , Zoran Radovic

We show that the density of states and the thermodynamic properties of a 2D d-wave superconductor in the vortex state with applied magnetic field $\bf H$ in the plane depend on the angle between $\bf H$ and the order parameter nodes. Within…

Superconductivity · Physics 2009-10-31 I. Vekhter , P. J. Hirschfeld , J. P. Carbotte , E. J. Nicol

We study the low-energy density of states of Dirac fermions in disordered d-wave superconductor. At zero energy, a finite density of states is obtained via the mechanism of dynamical mass generation in an effective (1+1)-dimensional…

Superconductivity · Physics 2015-11-23 Guo-Zhu Liu

Besides the well-known existence of Andreev bound states, the zero-energy local density of states at the boundary of a d-wave superconductor strongly depends on the boundary geometry itself. In this work, we examine the influence of both a…

Superconductivity · Physics 2016-08-31 C. Iniotakis , S. Graser , T. Dahm , N. Schopohl

We consider an isolated vortex in the two-dimensional proximity-induced superconducting state formed at the interface of a three-dimensional strong topological insulator (TI) and an s-wave superconductor (sSC). Prior calculations of the…

Superconductivity · Physics 2016-03-09 Adam C. Durst

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 use a Bogoliubov-de Gennes (BdG) formulation to describe a single vortex in a neutral fermionic gas. It is presumed that the attractive pairing interaction can be arbitrarily tuned to exhibit a crossover from BCS to Bose-Einstein…

Superconductivity · Physics 2011-09-13 Chih-Chun Chien , Yan He , Qijin Chen , K. Levin

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

Theory of quasiparticle spectra and the de Haas-van Alphen (dHvA) oscillation in type-II superconductors are developed based on the Bogoliubov-de Gennes equations for vortex-lattice states. As the pair potential grows through the…

Superconductivity · Physics 2009-11-07 Kouji Yasui , Takafumi Kita

We show that the low-energy density of quasiparticle states in the mixed state of ultra-clean d-wave superconductors is characterized by pronounced quantum oscillations in the regime where the cyclotron frequency $\hbar\omega_c \ll…

Superconductivity · Physics 2008-07-03 A. Melikyan , O. Vafek