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We theoretically study a Josephson junction formed by two finite-size $s$-wave SCs on a topological insulator under a magnetic field. At certain conditions, the junction hosts the chiral Majorana modes enclosing the two finite-size SCs. The…

Mesoscale and Nanoscale Physics · Physics 2019-09-02 Sang-Jun Choi , H. -S. Sim

We show that in the proximity of s-wave superconductors, the magnetic topological surface states can transform into Majorana surface state, featuring a single gapless Majorana cone with parity anomaly when the superconducting pairing gap…

Mesoscale and Nanoscale Physics · Physics 2024-10-30 Yu-Hao Wan , Qing-Feng Sun

We discuss electric transport through a point contact which bridges Majorana fermion modes appearing at edges of two helical superconductors. The contents focus on effects of interference and interaction unique to the Majorana fermions and…

Superconductivity · Physics 2010-08-05 Yasuhiro Asano , Yukio Tanaka , Naoto Nagaosa

Topological materials and their unusual transport properties are now at the focus of modern experimental and theoretical research. Their topological properties arise from the bandstructure determined by the atomic composition of a material…

Mesoscale and Nanoscale Physics · Physics 2016-04-27 Roman-Pascal Riwar , Manuel Houzet , Julia S. Meyer , Yuli V. Nazarov

We theoretically discuss the emergence of fractional Shapiro steps in a Josephson junction created by confining a two-dimensional electron gas at an oxide interface. This phenomenon is induced by an alternating current of proper amplitude…

We explore a long Josephson contact transporting Cooper pairs between 1D charge-neutral chiral Majorana modes in the leads via charged Dirac chiral modes in the normal region. We investigate the regimes of (i) transparent contacts and (ii)…

Superconductivity · Physics 2016-07-06 Dmitriy S. Shapiro , Alexander Shnirman , Alexander D. Mirlin

Majorana bound states in topological Josephson junctions induce a 4? period current-phase relation. Direct detection of the 4? periodicity is complicated by the quasiparticle poisoning. We reveal that Majorana bound states are also signaled…

Superconductivity · Physics 2017-07-24 Hong Huang , Qi-Feng Liang , Dao-Xin Yao , Zhi Wang

We study the equilibrium dc Josephson current in a junction between an $s$-wave and a topological superconductor. Cooper pairs from the $s$-wave superconducting lead can transfer to the topological side either via an unpaired Majorana zero…

Mesoscale and Nanoscale Physics · Physics 2021-02-09 Chun-Xiao Liu , Bernard van Heck , Michael Wimmer

Topological superconductivity holds promise for fault-tolerant quantum computing. While planar Josephson junctions are attractive candidates to realize this exotic state, direct phase-measurements as the fingerprint of the topological…

Transition metal dichalcogenides (TMDs) offer a unique platform to study unconventional superconductivity, owing to the presence of strong spin-orbit coupling and a remarkable stability to an in-plane magnetic field. A recent study found…

Superconductivity · Physics 2022-06-29 Ranjani Seshadri , Maxim Khodas , Dganit Meidan

We theoretically investigate heat transport in temperature-biased Josephson tunnel junctions in the presence of an in-plane magnetic field. In full analogy with the Josephson critical current, the phase-dependent component of the heat flux…

Mesoscale and Nanoscale Physics · Physics 2013-09-12 F. Giazotto , M. J. Martinez-Perez , P. Solinas

Two-dimensional arrays of superconductors separated by normal metallic regions exhibit rich phenomenology and a high degree of controllability. We establish such systems as platforms for topological phases of matter, and in particular…

Mesoscale and Nanoscale Physics · Physics 2024-04-29 Omri Lesser , Ady Stern , Yuval Oreg

Experimental evidence for Majorana bound states largely relies on measurements of the tunneling conductance. While the conductance into a Majorana state is in principle quantized to $2e^2/h$, observation of this quantization has been…

Mesoscale and Nanoscale Physics · Physics 2016-01-06 Yang Peng , Falko Pientka , Yuval Vinkler-Aviv , Leonid I. Glazman , Felix von Oppen

Majorana fermions exist on the boundaries of two-dimensional topological superconductors (TSCs) as charge-neutral quasi-particles. The neutrality makes the detection of such states challenging from both experimental and theoretical points…

Superconductivity · Physics 2021-06-30 James Jun He , Yukio Tanaka , Naoto Nagaosa

We develop a theory of the nonlocal conductance $G_{RL}(V)$ for a disordered Majorana wire tuned near the topological transition critical point. Under these conditions, the antisymmetric part of the differential conductance, $[G_{RL}(V) -…

Mesoscale and Nanoscale Physics · Physics 2026-02-04 Vladislav D. Kurilovich , William S. Cole , Roman M. Lutchyn , Leonid I. Glazman

Charge transport through a small topological superconducting island in contact with a normal and a superconducting electrode occurs through a cycle that involves coherent oscillations of Cooper pairs and tunneling in/out the normal…

Mesoscale and Nanoscale Physics · Physics 2013-07-25 Nicolas Didier , Marco Gibertini , Ali G. Moghaddam , Jürgen König , Rosario Fazio

We investigate the linear thermoelectric response of an interacting quantum dot side-coupled by one of two Majorana fermions (MFs) formed at the ends of a topological superconducting wire. We employ the numerical renormalization group…

Mesoscale and Nanoscale Physics · Physics 2014-08-22 Heunghwan Khim , Rosa Lopez , Jong Soo Lim , Minchul Lee

For Josephson junctions based on s-wave superconductors, time-reversal symmetry is known to allow for powerful relations between the normal-state junction properties, the excitation spectrum, and the Josephson current. Here we provide…

Mesoscale and Nanoscale Physics · Physics 2018-08-10 E. A. Mellars , B. Béri

We propose a semiconductor-superconductor hybrid device for realizing topological superconductivity and Majorana zero modes consisting of a planar Josephson junction structure with periodically modulated junction width. By performing a…

Mesoscale and Nanoscale Physics · Physics 2021-11-15 Purna P. Paudel , Trey Cole , Benjamin D. Woods , Tudor D. Stanescu

We investigate the sub gap properties of a three terminal Josephson T-junction composed of topologically superconducting wires connected by a normal metal region. This system naturally hosts zero energy Andreev bound states which are of…

Mesoscale and Nanoscale Physics · Physics 2017-02-03 Christian Spånslätt , Eddy Ardonne