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 $p_Fξ_0$ , where $p_F$ is the Fermi momentum and $ξ_0=v_F/Δ_0$ is the coherence length( $\hbar=1$ ). In particular we find that the number of bound states decreases rapidly for decreasing $p_Fξ_0$ . Also for $p_Fξ_0\sim 1$ , the Kramer-Pesch effect stops around $T/T_c\simeq 0.3$ .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 $p_Fξ_0$, where $p_F$ is the Fermi momentum and $ξ_0=v_F/Δ_0$ is the coherence length($\hbar=1$). In particular we find that the number of bound states decreases rapidly for decreasing $p_Fξ_0$. Also for $p_Fξ_0\sim 1$, the Kramer-Pesch effect stops around $T/T_c\simeq 0.3$.

arXiv:cond-mat/9810187AIP conference proceedingsJan 1, 19990 citations

Multiple Quantum Phase Transitions in a two-dimensional superconductor

N. Bergeal, Johan Biscaras, Simon Hurand +6 more

Bulletin of the American Physical SocietyMar 21, 20130 citations

Quasi-Particle Spectrum around a Single Vortex in Superconductors: s-Wave Case

M. Kato, Kazumi Maki

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 pFξ0, where pF is the Fermi momentum and ξ0=vF/Δ0 is the coherence length (ħ=1). During our numerical calculation, the particle number is conserved for each pFξ0. In particular, we find that there are only 1 or 2 bound states for pFξ0=1. Also, for pFξ0=1, the Kramer-Pesch effect ceases to exist at around T/Tc≃0.3.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 pFξ0, where pF is the Fermi momentum and ξ0=vF/Δ0 is the coherence length (ħ=1). During our numerical calculation, the particle number is conserved for each pFξ0. In particular, we find that there are only 1 or 2 bound states for pFξ0=1. Also, for pFξ0=1, the Kramer-Pesch effect ceases to exist at around T/Tc≃0.3.

arXiv:cond-mat/0004370Progress of Theoretical PhysicsMay 1, 200026 citations

On collective excitations in superconductivity theory

É. R. Velibekov

PhysicaAug 1, 19620 citations

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_Fξ_0

, where

p_F

is the Fermi momentum and

ξ_0=v_F/Δ_0

is the coherence length(

\hbar=1

). In particular we find that the number of bound states decreases rapidly for decreasing

p_Fξ_0

. Also for

p_Fξ_0\sim 1

, the Kramer-Pesch effect stops around

T/T_c\simeq 0.3