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We calculate the probability distribution of the Andreev reflection eigenvalues R_n at the Fermi level in the circular ensemble of random-matrix theory. Without spin-rotation symmetry, the statistics of the electrical conductance G depends…

介观与纳米尺度物理 · 物理学 2015-03-17 C. W. J. Beenakker , J. P. Dahlhaus , M. Wimmer , A. R. Akhmerov

The recent development of superconducting spintronics has revealed the spin-triplet superconducting proximity effect from a spin-singlet superconductor into a spin-polarized normal metal. In addition recently superconducting junctions using…

A chiral quantum Hall (QH) edge state placed in proximity to an s-wave superconductor experiences induced superconducting correlations. Recent experiments have observed the effect of proximity-coupling in QH edge states through signatures…

介观与纳米尺度物理 · 物理学 2023-02-02 Andreas B. Michelsen , Patrik Recher , Bernd Braunecker , Thomas L. Schmidt

Time-reversal invariant superconductors having nodes of vanishing excitation gap support zero-energy boundary states with topological protection. Existing expressions for the topological invariant are given in terms of the Hamiltonian of an…

超导电性 · 物理学 2012-11-29 J. P. Dahlhaus , M. Gibertini , C. W. J. Beenakker

We study theoretically the differential conductance at a junction between a time reversal symmetry broken spin orbit coupled system with a tunable band gap and a superconductor. We look for spin-dependent Andreev reflection (i.e, sub-gap…

介观与纳米尺度物理 · 物理学 2018-12-14 Dibya Kanti Mukherjee , Joanna Hutchinson , Arijit Kundu

In this work, we theoretically study transverse magnetic focusing in a two-dimensional electron gas with strong Rashba spin-orbit interaction when proximitized along its edge with a superconducting contact. The presence of superconducting…

介观与纳米尺度物理 · 物理学 2021-10-05 Lucila Peralta Gavensky , Gonzalo Usaj , C. A. Balseiro

We examine the voltage V and magnetic field B dependent Andreev conductance of a chaotic quantum dot coupled via point contacts to a normal metal and a superconductor. In the case where the contact to the superconductor dominates, we find…

介观与纳米尺度物理 · 物理学 2009-10-31 A. A. Clerk , P. W. Brouwer , V. Ambegaokar

We show that noncollinear Andreev reflections can be induced at interfaces of semiconductor nanowires with spin-orbit coupling, Zeeman splitting and proximity-induced superconductivity. In a noncollinear local Andreev reflection, the spin…

超导电性 · 物理学 2014-11-27 B. H. Wu , W. Yi , J. C. Cao , G. -C. Guo

We study Andreev reflection in a ballistic one-dimensional channel coupled in parallel to a superconductor via a tunnel barrier of finite length $L$. The dependence of the low-energy Andreev reflection probability $R_A$ on $L$ reveals the…

介观与纳米尺度物理 · 物理学 2009-11-11 Giorgos Fagas , Grigory Tkachov , Andreas Pfund , Klaus Richter

The topological quantum number Q of a superconducting or chiral insulating wire counts the number of stable bound states at the end points. We determine Q from the matrix r of reflection amplitudes from one of the ends, generalizing the…

介观与纳米尺度物理 · 物理学 2013-07-09 I. C. Fulga , F. Hassler , A. R. Akhmerov , C. W. J. Beenakker

The quantum Hall (QH) effect supports a set of chiral edge states at the boundary of a 2-dimensional electron gas (2DEG) system. A superconductor (SC) contacting these states induces correlation of the quasi-particles in the dissipationless…

介观与纳米尺度物理 · 物理学 2017-05-12 Gil-Ho Lee , Ko-Fan Huang , Dmitri K. Efetov , Di S. Wei , Sean Hart , Takashi Taniguchi , Kenji Watanabe , Amir Yacoby , Philip Kim

The quasi-bound states of a superconducting quantum dot that is weakly coupled to a normal metal appear as resonances in the Andreev reflection probability, measured via the differential conductance. We study the evolution of these Andreev…

超导电性 · 物理学 2015-01-14 Shuo Mi , D. I. Pikulin , M. Marciani , C. W. J. Beenakker

We study unconventional superconductivity in thin exfoliated single crystals of a promising 3D topological superconductor candidate, Nb-doped Bi$_2$Se$_3$ through Andreev reflection spectroscopy and magneto-transport. Measurements of…

Using Andreev reflection (AR) as an experimental gauge of the superconducting proximity effect (PE), we assess the topological purity of the superconductivity that is induced by the c-axis PE between an s-wave superconductor and the…

超导电性 · 物理学 2018-11-02 C. R. Granstrom , I. Fridman , H. -C. Lei , C. Petrovic , J. Y. T. Wei

By solving the Bogoliubov-de Gennes Hamiltonian, the electron-hole coherence within a partially proximitized n-doped semiconductor shell of a core-shell nanowire heterostructure is investigated numerically and compared with the Andreev…

介观与纳米尺度物理 · 物理学 2023-06-27 Kristjan Ottar Klausen , Anna Sitek , Sigurdur I. Erlingsson , Andrei Manolescu

Andreev reflection (AR) in ferromagnet/superconductor junctions is an indispensable spectroscopic tool for measuring spin polarization. We study theoretically how the presence of a thin semiconducting interface in such junctions, inducing…

超导电性 · 物理学 2019-09-11 Andreas Costa , Alex Matos-Abiague , Jaroslav Fabian

The connection of a superconductor to a chaotic ballistic quantum dot leads to interesting phenomena, most notably the appearance of a hard gap in its excitation spectrum. Here we treat such an Andreev billiard semiclassically where the…

介观与纳米尺度物理 · 物理学 2013-03-06 Jack Kuipers , Daniel Waltner , Cyril Petitjean , Gregory Berkolaiko , Klaus Richter

An incoming electron is reflected back as a hole at a normal-metal-superconductor interface, a process known as Andreev reflection. We predict that there exists a universal transverse shift in this process due to the effect of spin-orbit…

介观与纳米尺度物理 · 物理学 2017-09-13 Ying Liu , Zhi-Ming Yu , Shengyuan A. Yang

The crossed Andreev reflection in a hybrid nanostructure consisting of a d-wave superconductor and two quantum wires is theoretically studied. When the (110) oriented surface of the superconductor is in contact with the wires parallel and…

超导电性 · 物理学 2009-11-11 S. Takahashi , T. Yamashita , S. Maekawa

Proximity-induced superconductivity in fractional quantum Hall edges is a prerequisite to proposed realizations of parafermion zero-modes. A recent experimental work [G\"{u}l et al., Phys. Rev. X 12, 021057 (2022)] provided evidence for…

介观与纳米尺度物理 · 物理学 2023-04-18 Noam Schiller , Barak A. Katzir , Ady Stern , Erez Berg , Netanel H. Lindner , Yuval Oreg
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