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We develop a scheme of Gor'kov Green's functions to treat impurity effects on Caroli-de Gennes-Matricon (CdGM) mode in superconductors (SCs) by improving the Kopnin-Kravtsov scheme with respect to the coherence factors and applicability to…

Superconductivity · Physics 2015-12-15 Yusuke Masaki , Yusuke Kato

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

We investigate charge densities around the vortex cores of an s-wave and a chiral p-wave superconductor (SC) in two dimension within quasiclassical theory. We consider contributions of particle-hole asymmetry through gradient expansions in…

Superconductivity · Physics 2019-02-27 Yusuke Masaki

Coherence effects by the impurity scattering of Caroli--de Gennes--Matricon (CdGM) modes in a vortex for nodal topological superconductors have been studied. The coherence effects reflect a topological number defined on a particular…

Superconductivity · Physics 2016-04-15 Yasumasa Tsutsumi , Yusuke Kato

We investigate the impurity scattering rates for quasi-particles in vortex cores of sign-reversing s-wave superconductors as a probe to detect the internal phase difference of the order parameters among different Fermi surfaces. The…

Superconductivity · Physics 2011-07-04 Yuki Nagai , Yusuke Kato

We study impurity effects in vortex core of two-dimensional moderately clean su perconductors within the quasiclassical theory. The impurity scattering rate $\G amma(E)$ of the Andreev bound states in vortex core with +1 vorticity of p-wav…

Superconductivity · Physics 2009-10-31 Yusuke Kato

The impurity problems within vortex cores of two-dimensional s-wave and chiral p-wave superconductors are studied numerically in the framework of the quasiclassical theory of superconductivity and self-consistent Born approximation under a…

Superconductivity · Physics 2009-11-07 Yusuke Kato , Nobuhiko Hayashi

The vortices of two-dimensional chiral $p$-wave superconductors are predicted to exhibit some exotic behaviors; one of their curious features is the existence of two types of vortices (each vortex has vorticity either parallel or…

Superconductivity · Physics 2015-10-23 Noriyuki Kurosawa , Nobuhiko Hayashi , Yusuke Kato

The structure of the order parameter and the excitation spectrum are investigated for isolated impurities in d-wave superconductors. Atomic scale impurities, or defects, scatter quasiparticles and lead to local suppression (pair-breaking)…

Superconductivity · Physics 2024-10-24 D. C. Chen , D. Rainer , J. A. Sauls

We theoretically study a non-magnetic impurity effect on the vortex bound states of a multi-quantum vortex. The zero-energy peak of the local density of states is investigated for vortex cores with the winding numbers 2 and 4 within the…

Superconductivity · Physics 2015-06-12 Takashi Yamane , Yuki Nagai , K. Tanaka , Nobuhiko Hayashi

Caroli-de Gennes-Matricon (CdGM) states are localized states with a discrete energy spectrum bound to the core of vortices in superconductors. In topological superconductors, CdGM states are predicted to coexist with zero-energy, chargeless…

A two-dimensional superconductor (SC) on surfaces of topological insulators (TIs) is a mixture of s-wave and helical p-wave components when induced by s-wave interactions, since spin and momentum are correlated. On the basis of the…

Superconductivity · Physics 2015-06-05 Yuto Ito , Youhei Yamaji , Masatoshi Imada

Using both the self-consistent Bogoliubov-de Gennes formulation and non-self-consistent T-matrix approach, we perform a comprehensive investigation of the in-gap bound states induced by a localized single impurity in iron-based…

Superconductivity · Physics 2013-05-29 Wei-Feng Tsai , Yan-Yang Zhang , Chen Fang , Jiangping Hu

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 impurity is inherently manifest in cuprate superconductors, as cation substitution or intercalation is necessary for the introduction of charge carriers, and its influence on the electronic state is at the heart of a great debate in…

Superconductivity · Physics 2022-08-22 Minghuan Zeng , Xiang Li , Yongjun Wang , Shiping Feng

Using an extended Anderson/Kondo impurity model to describe the magnetic moments around an impurity doped in high-$T_{\text{c}}$ d-wave cuprates and in the framework of the slave-boson meanfield approach, we study numerically the impurity…

Superconductivity · Physics 2009-11-07 Q. Han , Z. D. Wang , X. -G. Li , L. -Y. Zhang

The local quasiparticle spectra around the vortex core of a d-wave superconductor in the mixed state is studied by solving the lattice Bogoliubov-de Gennes equations self-consistently. It is shown that in addition to the zero-energy states,…

Superconductivity · Physics 2007-05-23 Jian-Xin Zhu , C. S. Ting , A. V. Balatsky

In a recent experiment (Hou et al Phys. Rev. X 15, 011027), a new type of necklace-like vortex bound state (VBS) was observed and attributed to disorder induced interference among different Caroli-de Gennes-Matricon (CdGM) states within one…

Superconductivity · Physics 2025-07-15 Yi-Ming Fu , Da Wang , Qiang-Hua Wang

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

We investigate the impact of topology on the existence of impurity subgap states in a time-reversal-invariant superconductor with an extended $s$-wave pairing and strong spin-orbit coupling. By simply tuning the chemical potential we access…

Superconductivity · Physics 2019-01-15 M. Mashkoori , A. G. Moghaddam , M. H. Hajibabaee , A. M. Black-Schaffer , F. Parhizgar
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