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We calculate the spectrum of the Andreev boundary modes in a two-dimensional superconductor formed at an interface between two different non-superconducting materials, e.g. insulating oxides. Inversion symmetry is absent in this system, and…

Superconductivity · Physics 2016-10-05 K. V. Samokhin , S. P. Mukherjee

We calculate the spectrum of the Andreev bound states in a one-dimensional superconductor with a strong Rashba spin-orbit coupling. We focus on the fate of the zero-energy Andreev modes in the presence of time reversal symmetry-breaking…

Superconductivity · Physics 2017-05-03 K. V. Samokhin , B. P. Truong

Tunneling spectroscopy at surfaces of unconventional superconductors has proven an invaluable tool for obtaining information about the pairing symmetry. It is known that mid gap Andreev bound states manifest itself as a zero bias…

Superconductivity · Physics 2015-09-09 Matthias Eschrig , Christian Iniotakis , Yukio Tanaka

We study edge states of non-centrosymmetric superconductors where spin-singlet d-wave pairing mixes with spin-triplet p (or f)-wave one by spin-orbit coupling. For dxy-wave pairing, the obtained Andreev bound state has an anomalous…

Superconductivity · Physics 2010-09-10 Yukio Tanaka , Yoshihiro Mizuno , Takehito Yokoyama , Keiji Yada , Masatoshi Sato

A topological superconductor is a fully gapped superconductor that exhibits exotic zero-energy Andreev surface states at interfaces with a normal metal. In this paper we investigate the properties of a three-dimensional time reversal…

Superconductivity · Physics 2010-11-11 Andreas P. Schnyder , P. M. R. Brydon , Dirk Manske , Carsten Timm

A leading contender for the pairing symmetry in the Fe-pnictide high temperature superconductors is extended s-wave $s_\pm$, a nodeless state in which the pairing changes sign between Fermi surfaces. Verifying such a pairing symmetry…

Superconductivity · Physics 2013-05-29 Pouyan Ghaemi , Fa Wang , Ashvin Vishwanath

We study the charge character of the Andreev bound states (ABSs) in one-dimensional topological superconductors with spatial inversion symmetry (SIS) breaking. Despite the absence of the SIS, we show a hidden symmetry for the Bogoliubov de…

Superconductivity · Physics 2012-09-10 Xiong-Jun Liu

Superconductivity is a quantum phenomena arising, in its simplest form, from pairing of fermions with opposite spin into a state with zero net momentum. Whether superconductivity can occur in fermionic systems with unequal number of two…

Superconductivity · Physics 2015-06-22 H. Mayaffre , S. Kramer , M. Horvatić , C. Berthier , K. Miyagawa , K. Kanoda , V. F. Mitrović

We study theoretically a junction of a $\mathcal{PT}$-symmetric non-Hermitian superconductor (PTS) placed between two conventional superconductors. We show that due to non-Hermitian electron-electron interaction in the PTS region and the…

Superconductivity · Physics 2022-09-13 Viktoriia Kornich , Björn Trauzettel

The theory of Andreev conductance is formulated for junctions involving normal metals (N) and multiband superconductors (S) and applied to the case of superconductors with nodeless extended $s_{\pm}$-wave order parameter symmetry, as…

Superconductivity · Physics 2015-05-13 A. A. Golubov , A. Brinkman , O. V. Dolgov , I. I. Mazin , Y. Tanaka

We investigate the influence of spin-orbit coupling in a non-centrosymmetric superconductor on its ground state properties near a surface. We determine the spectrum of Andreev bound states due to surface-induced mixing of bands with…

Superconductivity · Physics 2008-10-31 A. B. Vorontsov , I. Vekhter , M. Eschrig

In materials without an inversion center of symmetry the spin degeneracy of the conducting band is lifted by an antisymmetric spin orbit coupling (ASOC). Under such circumstances, spin and parity cannot be separately used to classify the…

Superconductivity · Physics 2016-08-31 P. A. Frigeri , D. F. Agterberg , I. Milat , M. Sigrist

We study properties of quantim wires with spin-orbit coupling and time reversal symmetry breaking, in normal and superconducting states. Electronic band structures are classified according to quasi-one-dimensional magnetic point groups, or…

Superconductivity · Physics 2017-10-11 K. V. Samokhin

We study the effects of interband pairing in two-band s-wave and d-wave superconductors with D4h symmetry in both time-reversal invariant as well as time-reversal symmetry breaking states. The presence of interband pairing qualitatively…

Superconductivity · Physics 2023-10-19 M. F. Holst , M. Sigrist , K. V. Samokhin

Andreev bound states are fermionic states localized in weak links between superconductors which can be occupied with spinful quasiparticles. Microwave experiments using superconducting circuits with InAs/Al nanowire Josephson junctions have…

We calculate analytically the spectrum of the Andreev bound states in a half-infinite superconducting wire with an arbitrary number of bands crossing the chemical potential. The normal state of the wire is assumed to have an antiunitary…

Superconductivity · Physics 2020-03-11 K. V. Samokhin

We examine different topological phases in three-dimensional non-centrosymmetric superconductors with time-reversal symmetry by using three different types of topological invariants. Due to the bulk boundary correspondence, a non-zero value…

Mesoscale and Nanoscale Physics · Physics 2011-09-16 Andreas P. Schnyder , Shinsei Ryu

A theory of dispersionless Andreev bound states on surfaces of time-reversal invariant unconventional superconductors is presented. The generalized criterion for the dispersionless Andreev bound state is derived from the bulk-edge…

Superconductivity · Physics 2015-03-18 Masatoshi Sato , Yukio Tanaka , Keiji Yada , Takehito Yokoyama

The singlet s-, d- and triplet p-wave pairing symmetries in quasi-one-dimensional organic superconductors can be experimentally discriminated by probing the Andreev bound states at the sample edges. These states have the energy in the…

Superconductivity · Physics 2009-09-25 K. Sengupta , Igor Zutic , Hyok-Jon Kwon , Victor M. Yakovenko , S. Das Sarma

The classification of topological states of matter in terms of unitary symmetries and dimensionality predicts the existence of nontrivial topological states even in zero-dimensional systems, i.e., a system with a discrete energy spectrum.…

Mesoscale and Nanoscale Physics · Physics 2018-06-11 Pasquale Marra , Alessandro Braggio , Roberta Citro
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