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In this Tutorial, we give a pedagogical introduction to Majorana bound states (MBSs) arising in semiconducting nanostructures. We start by briefly reviewing the well-known Kitaev chain toy model in order to introduce some of the basic…

Mesoscale and Nanoscale Physics · Physics 2021-09-08 Katharina Laubscher , Jelena Klinovaja

We investigate experimentally an exotic state of electronic matter obtained by fine-tuning to a quantum critical point (QCP), realized in a spin-polarized resonant level coupled to strongly dissipative electrodes. Several transport scaling…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 H. T. Mebrahtu , I. V. Borzenets , H. Zheng , Y. V. Bomze , A. I. Smirnov , S. Florens , H. U. Baranger , G. Finkelstein

We propose a scheme to detect the Majorana bound states (MBSs) by a thermodynamically stable D.C. Josephson current with $4\pi$-periodicity in the superconducting phase difference, which is distinct from the previous A.C. $4\pi$-periodicity…

Superconductivity · Physics 2014-09-22 Zhan Cao , Tie-Feng Fang , Hong-Gang Luo

Majorana bound states (MBSs) nested in a topological nanowire are predicted to manifest nonlocal correlations in the presence of a finite energy splitting between the MBSs. However, the signal of the nonlocal correlations has not yet been…

Mesoscale and Nanoscale Physics · Physics 2016-07-13 Hai-Feng Lu , Hai-Zhou Lu , Shun-Qing Shen

We investigate the quantum transport in a hybrid ring system consisting of a quantum dot (QD) coupled to two Majorana bound states (MBSs) hosted in a topological superconducting nanowire, threaded by a magnetic flux. Utilizing the…

Mesoscale and Nanoscale Physics · Physics 2025-10-10 Sirui Yu , Junrong Wang , Huajin Zhao , Hong Mao , Jinshuang Jin

We investigate the admittance of a metallic quantum RC circuit with a spinful single-channel lead or equally with two conducting spin-polarized channels, in which Majorana fermions play a crucial role in the charge dynamics. We address how…

Mesoscale and Nanoscale Physics · Physics 2014-04-23 Christophe Mora , Karyn Le Hur

We investigate electron transport through multiterminal networks hosting Majorana bound states (MBS) in the framework of full counting statistics (FCS). In particular, we apply our general results to T-shaped junctions of two Majorana…

Mesoscale and Nanoscale Physics · Physics 2014-11-26 Luzie Weithofer , Patrik Recher , Thomas L. Schmidt

Non-Abelian quasiparticles have been predicted to exist in a variety of condensed matter systems. Their defining property is that an adiabatic braid between two of them results in a nontrivial change of the quantum state of the system. To…

Mesoscale and Nanoscale Physics · Physics 2016-01-28 Jian Li , Titus Neupert , B. Andrei Bernevig , Ali Yazdani

In this work we perform real time simulations for the dynamics of braiding a pair of Majorana zero modes (MZMs) through a quantum dot in a minimal setup of pure 1D realization. We reveal the strong nonadiabatic effect when the dot energy…

Mesoscale and Nanoscale Physics · Physics 2023-09-26 Luting Xu , Jing Bai , Wei Feng , Xin-Qi Li

We investigate the quantum transport through a quantum dot coupled with a superconducting (SC) nanowire. By elaborating the differential conductance and current noise spectrum, we focus on the distinct characteristics of the topological…

Mesoscale and Nanoscale Physics · Physics 2025-02-11 Huajin Zhao , Junrong Wang , Hong Mao , Jinshuang Jin

A hybrid setup consisting of a superconductivity-proximitized quantum spin Hall (QSH) insulator and a quantum anomalous Hall (QAH) insulator is proposed for chiral injection of electrons into the Majorana bound state (MBS). An unexplored…

Mesoscale and Nanoscale Physics · Physics 2022-08-17 Vivekananda Adak , Aabir Mukhopadhyay , Suman Jyoti De , Udit Khanna , Sumathi Rao , Sourin Das

Motivated by recent proposals of Majorana qubits and the read-out of their quantum state we investigate a qubit setup formed by two parallel topological wires shunted by a superconducting bridge. The wires are further coupled to two quantum…

Quantum Physics · Physics 2019-04-22 Lupei Qin , Xin-Qi Li , Alexander Shnirman , Gerd Schön

We analyze a system in which a topological Majorana zero mode (tMZM) combines with a Majorana produced by quantum frustration (fMZM) to produce a novel ground state. The system that we study combines two parts, a grounded topological…

Strongly Correlated Electrons · Physics 2020-07-08 Gu Zhang , Harold U. Baranger

We demonstrate that partially overlapping Majorana bound states (MBSs) represent a generic low-energy feature that emerges in non-homogeneous semiconductor nanowires coupled to superconductors in the presence of a Zeeman field. The…

Mesoscale and Nanoscale Physics · Physics 2018-04-09 Christopher Moore , Tudor D. Stanescu , Sumanta Tewari

We study Majorana bound states in a disordered chain of semiconductor quantum dots proximity-coupled to an s-wave superconductor. By calculating its topological quantum number, based on the scattering-matrix method and a tight-binding…

Mesoscale and Nanoscale Physics · Physics 2016-04-22 P. Zhang , Franco Nori

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

Transport measurements of hybrid nanowires often rely on the observation of a zero-bias conductance peak as a hallmark of Majorana bound states (MBSs). However, such signatures can also be produced by trivial zero-energy Andreev bound…

Mesoscale and Nanoscale Physics · Physics 2026-03-12 Sarath Prem , Olesia Dmytruk , Mircea Trif

There has been recent interest in superconductor-magnetic insulator hybrid Rashba nanowire setups for potentially hosting Majorana zero modes at smaller external Zeeman fields. Using the non-equilibrium Green's function technique, we…

Mesoscale and Nanoscale Physics · Physics 2023-01-27 Roshni Singh , Bhaskaran Muralidharan

Majorana bound states (MBS) differ from the regular zero energy Andreev bound states in their nonlocal properties, since two MBS form a single fermion. We design strategies for detection of this nonlocality by using the phenomenon of…

Mesoscale and Nanoscale Physics · Physics 2016-09-28 S. Rubbert , A. R. Akhmerov

Majorana bound states (MBS) are well-established in the clean limit in chains of ferromagnetically aligned impurities deposited on conventional superconductors with finite spin-orbit coupling. Here we show that these MBS are very robust…

Superconductivity · Physics 2017-05-22 Oladunjoye A. Awoga , Kristofer Björnson , Annica M. Black-Schaffer