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Spectroscopy of vortex bound states can provide valuable information on the structure of the superconducting order parameter. Quasiparticle wavefunctions are expected to leak out in the directions of gap minima or nodes, if they exist, and…

Superconductivity · Physics 2012-04-25 Y. Wang , P. J. Hirschfeld , I. Vekhter

We theoretically demonstrate that the vortex supercurrent can be reversed by odd-frequency Cooper pairs accompanied by surface Andreev bound states. The surface of a three-dimensional superconductor pierced by a flux quantum is considered.…

Superconductivity · Physics 2023-01-13 Soma Yoshida , Shu-Ichiro Suzuki , Yukio Tanaka

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

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

We propose the general multi-band quasiclassical Eilenberger theory of superconductivity to describe quasiparticle excitations in inhomogeneous systems. With the use of low-energy projection matrix, the $M$-band quasiclassical Eilenberger…

Superconductivity · Physics 2016-07-08 Yuki Nagai , Hiroki Nakamura

Andreev bound states at boundaries of d-wave superconductors are strongly influenced by the boundary geometry itself. In this work, the zero-energy spectral weight of the local quasiparticle density of states is presented for the case of…

Superconductivity · Physics 2007-09-05 C. Iniotakis

A topological superfluid phase characterized by an emergent chiral-p-wave pair potential is expected to form in a two-dimensional Fermi superfluid subject to s-wave pairing, spin-orbit coupling and a large-enough Zeeman splitting. Andreev…

Quantum Gases · Physics 2023-05-17 Kadin Thompson , Joachim Brand , Ulrich Zülicke

Since the experimental formation of a vortex with a fractional quantized magnetic flux in a thin superconducting $s$-wave bi-layer was recently reported, we calculate the local density of states (LDOS) around two half quantum vortices in a…

Superconductivity · Physics 2019-05-01 Yuki Nagai , Yusuke Kato

Scattering states with LEED asymptotics are calculated for a general non-muffin tin potential, as e.g. for a pseudopotential with a suitable barrier and image potential part. The latter applies especially to the case of low lying conduction…

Materials Science · Physics 2009-10-30 S. Lorenz , C. Solterbeck , W. Schattke , J. Burmeister , W. Hackbusch

On the basis of the quasiclassical theory of superconductivity, we obtain a formula for the local density of states (LDOS) around a vortex core of superconductors with anisotropic pair-potential and Fermi surface in arbitrary directions of…

Superconductivity · Physics 2007-05-23 Yuki Nagai , Yosuke Ueno , Yusuke Kato , Nobuhiko Hayashi

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

We investigate the vortex bound states both Schrodinger and Dirac Hamiltonian with the s-wave superconducting pairing gap by solving the mean-field Bogoliubov-de-Gennes equations. The exact vortex bound states spectrum is numerically…

Strongly Correlated Electrons · Physics 2017-03-21 Chi-Ho Cheng

On the basis of Eilenberger theory, surface bound states and spontaneous current are studied in cyclic d-wave superconductors as a broken time-reversal symmetry of superconductivity in cubic lattice symmetry. We discuss how the spontaneous…

Superconductivity · Physics 2013-04-30 Masaki Ishikawa , Yasumasa Tsutsumi , Masanori Ichioka , Kazushige Machida

Quasiparticle bound states are found theoretically on transparent interfaces of d-wave superconductors (dSC) with charge density wave solids (CDW), as well as s-wave superconductors (sSC) with d-density waves (DDW). These bound states…

Superconductivity · Physics 2009-11-10 I. V. Bobkova , Yu. S. Barash

We demonstrate an efficient numerical method for obtaining unique solutions to the Eilenberger equation for a mesoscopic or nanoscale superconductor. In particular, we calculate the local density of states of a circular d-wave island…

Superconductivity · Physics 2012-10-01 Yuki Nagai , K. Tanaka , Nobuhiko Hayashi

We investigate the superconducting states that arise as a consequence of mesoscopic confinement and a multi-component order parameter in the Ginzburg-Landau model for $p\,$-wave superconductivity. Conventional vortices, but also…

Superconductivity · Physics 2016-02-03 V. Fernández Becerra , E. Sardella , F. M. Peeters , M. V. Milošević

Dependences of low temperature behavior and anisotropy of various physical quantities for pure unconventional superconductors upon a particular form of momentum direction dependence for the superconducting order parameter (within the…

Condensed Matter · Physics 2009-10-28 Yu. S. Barash , A. A. Svidzinsky

We analyse theoretically a single vortex in 3D trapped atomic Fermi gases with population polarization near a broad Feshbach resonance. Above a critical polarization the Andreev-like bound states inside the core become occupied for the…

Superconductivity · Physics 2007-05-23 Hui Hu , Xia-Ji Liu , Peter D. Drummond

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

We study the effects of non-magnetic impurity scattering on the Andreev bound states (ABS) in an isolated vortex in a two-dimensional chiral p-wave superconductor numerically. We incorporate the impurity scattering effects into the…

Superconductivity · Physics 2014-03-11 Noriyuki Kurosawa , Nobuhiko Hayashi , Emiko Arahata , Yusuke Kato
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