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Andreev bound states in clean, ballistic SNS and SNSNS junctions are calculated exactly and by using the Andreev approximation (AA). The AA appears to break down for junctions with transverse dimensions chosen such that the motion in the…

超导电性 · 物理学 2013-05-29 R. E. S. Otadoy , A. Lodder

The analysis in the present paper is based on the most known concept introduced by the brilliant physicist Alexander Andreev: Andreev bound states in a normal metal sandwiched between two superconductors. The paper presents results of…

超导电性 · 物理学 2024-06-07 Edouard Sonin

A general formula for the current through a disordered normal--superconducting junction is derived, which is valid at finite temperature and includes the full voltage dependence. The result depends on a multichannel scattering matrix, which…

介观与纳米尺度物理 · 物理学 2009-10-28 G. B. Lesovik , A. L. Fauchère , G. Blatter

We use a single-channel scattering formalism to derive general expressions for the Andreev bound-state energies and resulting current--phase relationship in a one-dimensional semiconductor-based SNS-junction, including arbitrarily oriented…

介观与纳米尺度物理 · 物理学 2023-12-22 Jonas Lidal , Jeroen Danon

We present two complementary methods to calculate the Andreev bound state energies of a single-level quantum dot connected to superconducting leads described by the superconducting impurity Anderson model. The first method, which is based…

介观与纳米尺度物理 · 物理学 2023-04-07 Vladislav Pokorný , Martin Žonda

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…

超导电性 · 物理学 2014-03-11 Noriyuki Kurosawa , Nobuhiko Hayashi , Emiko Arahata , Yusuke Kato

Andreev scattering and the Josephson current through a one-dimensional interacting electron liquid sandwiched between two superconductors are re-examined. We first present some apparently new results on the non-interacting case by studying…

超导电性 · 物理学 2009-10-31 Ian Affleck , Jean-Sebastien Caux , Alexandre Zagoskin

The Andreev reflection amplitude at a clean interface between a half-metallic ferromagnet (H) and a superconductor (S) for which the half metal's magnetization has a gradient perpendicular to the interface is proportional to the excitation…

介观与纳米尺度物理 · 物理学 2015-06-04 Francis B. Wilken , Piet W. Brouwer

We study one-dimensional topological SN and SNS long junctions obtained by placing a topological insulating nanowire in the proximity of either one or two SC finite-size leads. Using the Majorana Polarization order parameter (MP) introduced…

介观与纳米尺度物理 · 物理学 2012-06-12 D. Chevallier , D. Sticlet , P. Simon , C. Bena

A Josephson junction, formed between two phase-biased superconductors and a normal metal, hosts a discrete spectrum of Andreev bound states (ABS). In this paper, we develop a theory for long ballistic Andreev interferometers in…

介观与纳米尺度物理 · 物理学 2025-01-15 Régis Mélin , Asmaul Smitha Rashid , Morteza Kayyalha

Andreev bound states are an expression of quantum coherence between particles and holes in hybrid structures composed of superconducting and non-superconducting metallic parts. Their spectrum carries important information on the nature of…

超导电性 · 物理学 2015-09-28 Matthias Eschrig

Andreev bound states (ABS) occur in Josephson junctions when the total phase of the Andreev and normal reflections is a multiple of $2\pi$. In ballistic junctions with an applied voltage bias, a quasi-particle undergoes multiple Andreev…

We consider an Anderson impurity (A) weakly connected to a superconducting electrode (S) on one side and a superconducting or a normal metal electrode (N) on the other side. A general path integral formalism is developed and the response of…

强关联电子 · 物理学 2009-10-31 Yshai Avishai , Anatoly Golub , Andrei D. Zaikin

We analyze the spatial and energy dependence of the local density of states in a SNS junction. We model our system as a one-dimensional tight-binding chain which we solve exactly by numerical diagonalization. We calculate the dependence of…

介观与纳米尺度物理 · 物理学 2015-05-28 Cristina Bena

Using standard tight-binding methods, we investigate a novel backscattering mechanism taking place on quantum spin Hall N'SNSN' Josephson junctions in the presence of time-reversal symmetry. This extended geometry allows for the interplay…

介观与纳米尺度物理 · 物理学 2026-03-10 Cajetan Heinz , Patrik Recher , Fernando Dominguez

We discuss a solvable model describing an Anderson like impurity in a BCS superconductor. The model can be mapped onto an Ising field theory in a boundary magnetic field, with the Ising fermions being the quasi-particles of the Bogoliubov…

凝聚态物理 · 物理学 2009-10-31 Z. S. Bassi , A. LeClair

We study superconductor-barrier-superconductor (S-B-S) Josephson junctions constructed out of two-dimensional and three-dimensional triple-point semimetals, which feature a threefold degeneracy at a single nodal point. We assume a weak and…

超导电性 · 物理学 2025-07-11 Ipsita Mandal

We demonstrate several new electron transport phenomena mediated by Andreev bound states (ABSs) that form on three-terminal carbon nanotube (CNT) QDs, with one superconducting (S) contact in the center and two adjacent normal metal (N)…

介观与纳米尺度物理 · 物理学 2017-11-10 J. Gramich , A. Baumgartner , C. Schönenberger

The incoherent regime of Multiple Andreev Reflections (MAR) is studied in long diffusive SNS junctions at applied voltages larger than the Thouless energy. Incoherent MAR is treated as a transport problem in energy space by means of a…

超导电性 · 物理学 2014-02-10 E. V. Bezuglyi , E. N. Bratus' , V. S. Shumeiko , G. Wendin , H. Takayanagi

Tunneling spectroscopy measurements are often used to probe the energy spectrum of Andreev bound states (ABSs) in semiconductor-superconductor hybrids. Recently, this spectroscopy technique has been incorporated into planar Josephson…

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