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We develop a theory for the three-terminal nonlocal conductance in Majorana nanowires as existing in the superconductor-semiconductor hybrid structures in the presence of superconducting proximity, spin-orbit coupling, and Zeeman splitting.…

Mesoscale and Nanoscale Physics · Physics 2021-01-27 Haining Pan , Jay D. Sau , S. Das Sarma

We calculate the spatially resolved tunneling conductance of topological superconductors (TSCs) based on ferromagnetic chains, measured by means of spin-polarised scanning tunneling microscopy (SPSTM). Our analysis reveals novel signatures…

Mesoscale and Nanoscale Physics · Physics 2015-09-22 Panagiotis Kotetes , Daniel Mendler , Andreas Heimes , Gerd Schön

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…

Topological insulator edges and spin-orbit-coupled quantum wires in proximity to s-wave super- conductors can be tuned through a topological quantum phase transition by a Zeeman field. Here we show that a supercurrent flowing in the s-wave…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Alessandro Romito , Jason Alicea , Gil Refael , Felix von Oppen

Majorana zero modes can appear at the wire ends of a 1D topological superconductor and manifest themselves as a quantized zero-bias conductance peak in the tunneling spectroscopy of normal-superconductor junctions. However, in…

Mesoscale and Nanoscale Physics · Physics 2021-06-09 Haining Pan , Chun-Xiao Liu , Michael Wimmer , Sankar Das Sarma

Topological superconductors which support Majorana fermions are thought to be realized in one-dimensional semiconducting wires coupled to a superconductor. Such excitations are expected to exhibit non-Abelian statistics and can be used to…

Mesoscale and Nanoscale Physics · Physics 2015-03-20 Leonid P. Rokhinson , Xinyu Liu , Jacek K. Furdyna

There are still debates on whether the observed zero energy peak in the experiment by Stevan {\it et al.} [Science 346, 602(2014)] reveals the existence of the long pursuing Majorana bound states (MBS). we propose that, by mounting two…

Superconductivity · Physics 2016-09-09 Ye Xiong

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

Unambiguous identification of Majorana physics presents an outstanding problem whose solution could render topological quantum computing feasible. We develop a numerical approach to treat finite-size superconducting chains supporting…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Richard Korytár , Peter Schmitteckert

We investigate the realization of a topological superconductor in a generic bucked honeycomb system equipped with four types of mass-generating terms, where the superconductor gap is introduced by attaching the honeycomb system to an…

Superconductivity · Physics 2015-02-26 Motohiko Ezawa

Recently, superconductors with higher-order topology have stimulated extensive attention and research interest. Higher-order topological superconductors exhibit unconventional bulk-boundary correspondence, thus allow exotic…

Mesoscale and Nanoscale Physics · Physics 2023-10-02 Xiao-Ting Chen , Chun-Hui Liu , Dong-Hui Xu , Chui-Zhen Chen

Majorana fermions are predicted to localize at the edge of a topological superconductor, a state of matter that can form when a ferromagnetic system is placed in proximity to a conventional superconductor with strong spin-orbit interaction.…

Mesoscale and Nanoscale Physics · Physics 2014-10-06 Stevan Nadj-Perge , Ilya K. Drozdov , Jian Li , Hua Chen , Sangjun Jeon , Jungpil Seo , Allan H. MacDonald , B. Andrei Bernevig , Ali Yazdani

We study Josephson junctions based on second-order topological superconductors (SOTSs) which can be realized in quantum spin Hall insulators with large inverted gap in proximity to unconventional superconductors. We find that tuning the…

Superconductivity · Physics 2020-01-22 Song-Bo Zhang , Björn Trauzettel

Motivated by the InSb nanowire superconductor system, we investigate a system where one-dimensional topological superconductors are placed in parallel. It would be simulated well by a ladder of the Kitaev chains. The system undergoes…

Superconductivity · Physics 2014-05-26 Ryohei Wakatsuki , Motohiko Ezawa , Naoto Nagaosa

Majorana zero modes (MZMs), fundamental building blocks for realizing topological quantum computers, can appear at the interface between a superconductor and a topological material. One of the experimental signatures that has been widely…

Mesoscale and Nanoscale Physics · Physics 2020-07-08 W. Yu , Rafael Haenel , M. A. Rodriguez , S. R. Lee , F. Zhang , M. Franz , D. I. Pikulin , W. Pan

In this tutorial paper, we provide an introduction to the briskly expanding research field of Majorana fermions in topological superconductors. We discuss several aspects of topological superconductivity and the advantages it brings to…

The importance of models with an exact solution for the study of materials with non-trivial topological properties has been extensively demonstrated. Among these, the Kitaev model of a one-dimensional $p$-wave superconductor plays a guiding…

Strongly Correlated Electrons · Physics 2015-11-10 T. O. Puel , P. D. Sacramento , M. A. Continentino

We calculate the differential conductance at a probe inserted in the weak link of a topological Josephson junction, consisting of a semiconducting nanowire deposited on top of two separated superconductors. Our aim is to understand how the…

Mesoscale and Nanoscale Physics · Physics 2014-01-17 Stefano Valentini , Rosario Fazio , Fabio Taddei

We investigate transport though normal-superconductor nanowire junctions in the presence of spin-orbit coupling and magnetic field. As the Zeeman field crosses the critical bulk value B_c of the topological transition, a Majorana bound…

Mesoscale and Nanoscale Physics · Physics 2012-11-14 Elsa Prada , Pablo San-Jose , Ramon Aguado

We study the competition of disorder and superconductivity for a one-dimensional p-wave superconductor in incommensurate potentials. With the increase in the strength of the incommensurate potential, the system undergoes a transition from a…

Disordered Systems and Neural Networks · Physics 2015-03-20 Xiaoming Cai , Li-Jun Lang , Shu Chen , Yupeng Wang