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We discuss the properties of topologically nontrivial superconducting phases and the conditions for their realization in condensed matter, and the principles for identifying Majorana bound states (MBSs). Along with the well-known Kitaev…

Mesoscale and Nanoscale Physics · Physics 2022-05-23 V. V. Val'kov , M. S. Shustin , S. V. Aksenov , A. O. Zlotnikov , A. D. Fedoseev , V. A. Mitskan , M. Yu. Kagan

Waiting time distribution and the zero-frequency full counting statistics of unidirectional electron transport through a double quantum dot molecule attached to spin-polarized leads are analyzed using the quantum master equation. The…

Mesoscale and Nanoscale Physics · Physics 2017-07-10 Krzysztof Ptaszynski

We present a theoretical analysis of the equilibrium Josephson current-phase relation in hybrid devices made of conventional s-wave spin-singlet superconductors (S) and topological superconductor (TS) wires featuring Majorana end states.…

Mesoscale and Nanoscale Physics · Physics 2018-12-10 A. Zazunov , A. Iks , M. Alvarado , A. Levy Yeyati , R. Egger

We calculate the current as a function of applied voltage in non-topological s-wave superconductor-quantum dot-topological superconductor tunnel junction. We consider the type of TS which hosts two Majorana bound states (MBS) at the ends of…

Superconductivity · Physics 2015-05-13 Anatoly Golub

The study of non-Abelian Majorana zero modes advances our understanding of the fundamental physics in quantum matter, and pushes the potential applications of such exotic states to topological quantum computation. It has been shown that in…

Mesoscale and Nanoscale Physics · Physics 2014-05-02 Xiong-Jun Liu , Chris L. M. Wong , K. T. Law

We study the condition for a topological superconductor (TS) phase with end Majorana fermions to appear when a quasiperiodic lattice modulation is applied to a one-dimensional quantum wire with strong spin-orbit interaction situated under a…

Superconductivity · Physics 2012-04-25 Masaki Tezuka , Norio Kawakami

We consider the distribution of waiting times between non-interacting fermions on a tight-binding chain. We calculate the waiting time distribution for a quantum point contact and find a cross-over from Wigner-Dyson statistics at full…

Mesoscale and Nanoscale Physics · Physics 2014-06-17 Konrad H. Thomas , Christian Flindt

We study Andreev bound state (ABS) and surface density of state (SDOS) of non-centrosymmetric superconductor where spin-singlet $d$-wave pairing mixes with spin-triplet $p$ (or $f)$-wave one by spin-orbit coupling. For $d_{xy} + p$-wave…

Superconductivity · Physics 2011-07-05 Keiji Yada , Masatoshi Sato , Yukio Tanaka , Takehito Yokoyama

Quantum spin Hall-superconductor hybrids are promising sources of topological superconductivity and Majorana modes, particularly given recent progress on HgTe and InAs/GaSb. We propose a new method of revealing topological superconductivity…

Superconductivity · Physics 2014-11-11 Shu-Ping Lee , Karen Michaeli , Jason Alicea , Amir Yacoby

The phase-dependent bound states (Andreev levels) of a Josephson junction can cross at the Fermi level, if the superconducting ground state switches between even and odd fermion parity. The level crossing is topologically protected, in the…

Mesoscale and Nanoscale Physics · Physics 2013-07-23 C. W. J. Beenakker , J. M. Edge , J. P. Dahlhaus , D. I. Pikulin , Shuo Mi , M. Wimmer

The Andreev bound states and charge transport in a Josephson junction between two superconductors with intrinsic exchange fields are studied. We find that for a parallel configuration of the exchange fields in the superconductors the…

Superconductivity · Physics 2016-10-26 B. Bujnowski , D. Bercioux , F. Konschelle , J. Cayssol , F. S. Bergeret

We study all the possible different two terminal configurations of Josephson junctions containing wires of time-reversal invariant topological superconductors (TRITOPS) and ordinary superconductors, including combinations with an…

Mesoscale and Nanoscale Physics · Physics 2019-02-27 Liliana Arrachea , Alberto Camjayi , Armando A. Aligia , Leonel Gruñeiro

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…

Mesoscale and Nanoscale Physics · Physics 2026-03-10 Cajetan Heinz , Patrik Recher , Fernando Dominguez

We demonstrate how to design various nonstandard types of Andreev-bound-state (ABS) dispersions, via a composite construction relying on Majorana bound states (MBSs). Here, the MBSs appear at the interface of a Josephson junction consisting…

Superconductivity · Physics 2019-09-23 Panagiotis Kotetes , Maria Teresa Mercaldo , Mario Cuoco

We theoretically study topological superconductivity in elongated planar Josephson junctions. In the presence of spin-orbit coupling and an in-plane magnetic field, the Josephson junction can enter the topological phase and host zero-energy…

Mesoscale and Nanoscale Physics · Physics 2025-02-17 D. Kuiri , P. Wójcik , M. P. Nowak

We study the stationary Josephson current in a junction between a topological and an ordinary (topologically trivial) superconductor. Such an S-TS junction hosts a Majorana zero mode that significantly influences the current-phase relation.…

Mesoscale and Nanoscale Physics · Physics 2016-04-06 P. A. Ioselevich , P. M. Ostrovsky , M. V. Feigelman

The recently discovered superconductor CuxBi2Se3 is a candidate for three-dimensional time- reversal-invariant topological superconductors, which are predicted to have robust surface Andreev bound states hosting massless Majorana fermions.…

Superconductivity · Physics 2012-03-12 Timothy H. Hsieh , Liang Fu

Superconductor-semiconductor hybrids are useful for realizing the Josephson diode effect, where nonreciprocity in the supercurrents occurs due to the interplay of the Josephson effect and applied magnetic fields. These junctions can host…

Superconductivity · Physics 2025-10-20 Sayan Mondal , Pei-Hao Fu , Jorge Cayao

In superconductor-topological insulator-superconductor hybrid junctions, the barrier edge states are expected to be protected against backscattering, to generate unconventional proximity effects, and, possibly, to signal the presence of…

Inducing superconducting correlations in quantum anomalous Hall (QAH) states offers a promising route to realize topological superconductivity with chiral Majorana edge modes. However, the definitive identification of these modes is…

Mesoscale and Nanoscale Physics · Physics 2026-01-14 Linghao Huang , Dongheng Qian , Jing Wang