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We investigate a topological superconducting wire with balanced gain and loss that is effectively described by the non-Hermitian Kitaev/Majorana chain with parity-time symmetry. This system is shown to possess two distinct types of…

Mesoscale and Nanoscale Physics · Physics 2018-08-10 Kohei Kawabata , Yuto Ashida , Hosho Katsura , Masahito Ueda

Unequivocal signatures of Majorana zero energy modes in condensed matter systems and manipulation of the associated electron parity states are highly sought after for fundamental reasons as well as for the prospect of topological quantum…

Superconductivity · Physics 2018-02-20 Rosa Rodriguez-Mota , Smitha Vishveshwara , T. Pereg-Barnea

We study Majorana bound states in a planar Josephson junction in which the middle channel is a $d$-wave altermagnetic metal deposited on a proximitized two-dimensional electron gas. In the topological regime, the near-zero-energy states…

Superconductivity · Physics 2026-03-30 Pankaj Sharma , Narayan Mohanta

We study the phase transition between a trivial and a time-reversal-invariant topological superconductor in a single-band system. By analyzing the interplay of symmetry, topology and energetics, we show that for a generic normal state band…

Superconductivity · Physics 2017-11-08 Yuxuan Wang , Liang Fu

Recent experimental efforts towards the detection of Majorana bound states have focused on creating the conditions for topological superconductivity. Here we demonstrate an alternative route, which achieves fully localised zero-energy…

Mesoscale and Nanoscale Physics · Physics 2016-03-07 Pablo San-Jose , Jorge Cayao , Elsa Prada , Ramón Aguado

Majorana zero modes (MZMs) in condensed matter systems have attracted great attention in the past two decades, due to their interesting physics and potential application in topological quantum computing (TQC). However, the topologically…

The modern understanding of the Josephson effect in mesosopic devices derives from the physics of Andreev bound states, fermionic modes that are localized in a superconducting weak link. Recently, Josephson junctions constructed using…

Superconductivity · Physics 2018-08-01 M. Hays , G. de Lange , K. Serniak , D. J. van Woerkom , D. Bouman , P. Krogstrup , J. Nygård , A. Geresdi , M. H. Devoret

We study the Josephson effect in a trijunction formed by two topological superconductor (TS) wires and a conventional $s$-wave superconductor. Using a boundary Green's function formalism, analytical results for the current-phase relation…

Mesoscale and Nanoscale Physics · Physics 2017-07-28 A. Zazunov , R. Egger , M. Alvarado , A. Levy Yeyati

Andreev bound states ubiquitously emerge as a consequence of nontrivial topological structures of the order parameter of superfluids and superconductors and significantly contribute to thermodynamics and low-energy quantum transport…

Superconductivity · Physics 2018-07-03 Takeshi Mizushima , Kazushige Machida

For the search of Majorana fermions, we propose to employ a ramp-type Josephson edge junction between a normal metal such as Au, Ag or alloys of heavy metals and a topologically-trivial dx2-y2 wave high-Tc superconductor YBa2Cu3O7. The…

Superconductivity · Physics 2013-06-24 Chang C. Tsuei

We derive the statistics of the time-delay matrix (energy derivative of the scattering matrix) in an ensemble of superconducting quantum dots with chaotic scattering (Andreev billiards), coupled ballistically to $M$ conducting modes…

Mesoscale and Nanoscale Physics · Physics 2014-07-10 M. Marciani , P. W. Brouwer , C. W. J. Beenakker

I. Introduction (What is new in RMT, Superconducting quasiparticles, Experimental platforms) II. Topological superconductivity (Kitaev chain, Majorana operators, Majorana zero-modes, Phase transition beyond mean-field) III. Fundamental…

Mesoscale and Nanoscale Physics · Physics 2015-09-07 C. W. J. Beenakker

We consider a model of a Josephson junction of two topological superconducting wires mediated by an interacting quantum dot. An additional normal electrode coupled to the dot from the top allows to probe its density of states. The Majorana…

Mesoscale and Nanoscale Physics · Physics 2019-03-07 Piotr Stefański

Topological insulators (TIs) have attracted immense interest because they host helical surface states. Protected by time-reversal symmetry, they are robust to non-magnetic disorder. When superconductivity is induced in these helical states,…

Mesoscale and Nanoscale Physics · Physics 2014-11-06 A. D. K. Finck , C. Kurter , Y. S. Hor , D. J. Van Harlingen

Among the potential applications of topological insulators, we theoretically study the coexistence of proximity-induced ferromagnetic and superconducting orders in the surface states of a 3-dimensional topological insulator. The…

Mesoscale and Nanoscale Physics · Physics 2017-02-01 Maryam Khezerlou , Hadi Goudarzi , Samin Asgarifar

Andreev bound states with opposite phase-inversion asymmetries are observed in local and non-local tunneling spectra at the two ends of a superconductor-semiconductor-superconductor planar Josephson junction in the presence of a…

Josephson junctions with topological insulator weak links can host low energy Andreev bound states giving rise to a current phase relation that deviates from sinusoidal behaviour. Of particular interest are zero energy Majorana bound states…

Mesoscale and Nanoscale Physics · Physics 2015-06-02 C. Kurter , A. D. K. Finck , Y. S. Hor , D. J. Van Harlingen

We analyze theoretically two different setups for s-wave superconductivity (SC) proximitized $j=3/2$ particles in Luttinger materials that are able to host Majorana bound states (MBSs). First, we consider a one-dimensional SC wire with…

Superconductivity · Physics 2022-06-24 Julian Benedikt Mayer , Miguel A. Sierra , Ewelina M. Hankiewicz

As platforms of Majorana modes, topological insulator (quantum anomalous Hall insulator)/superconductor (SC) heterostructures have attracted tremendous attention over the past decade. Here we substitute the topological insulator by its…

Mesoscale and Nanoscale Physics · Physics 2019-11-13 Zhongbo Yan

In hybrid Josephson junctions with three or more superconducting terminals coupled to a semiconducting region, Andreev bound states may form unconventional energy band structures, or Andreev matter, which are engineered by controlling…

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