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We propose and simulate a near-adiabatically coupling probing scheme for nontrivial fusion of a pair of Majorara zero modes (MZMs). The scheme can avoid the complexity of oscillating charge occupation in the probing quantum dot, making thus…

Mesoscale and Nanoscale Physics · Physics 2025-07-18 Jing Bai , Luting Xu , Wei Feng , Xin-Qi Li

We investigate a system of Majorana box qubits, where each of the Coulomb blockaded boxes is driven by an applied AC voltage and is embedded in a dissipative environment. The AC voltage is applied between a pair of quantum dots, each of…

Mesoscale and Nanoscale Physics · Physics 2024-04-08 Kunmin Wu , Sadeq S. Kadijani , Thomas L. Schmidt

We demonstrate that non-Abelian rotations within the degenerate groundstate manifold of a set of Majorana fermions can be realized by the addition or removal of single electrons, and propose an implementation using Coulomb blockaded quantum…

Mesoscale and Nanoscale Physics · Physics 2012-10-09 Karsten Flensberg

We present a theoretical analysis of low-energy quantum transport in coupled Majorana box devices. A single Majorana box represents a Coulomb-blockaded mesoscopic superconductor proximitizing two or more long topological nanowires. The box…

Mesoscale and Nanoscale Physics · Physics 2018-05-18 Matthias Gau , Stephan Plugge , Reinhold Egger

Superconducting proximity pairing in helical edge modes, such as those of topological insulators (TI), is predicted to provide a unique platform for realizing Majorana zero modes (MZMs). We use scanning tunneling microscopy measurements to…

Mesoscale and Nanoscale Physics · Physics 2019-06-26 Berthold Jäck , Yonglong Xie , Jian Li , Sangjun Jeon , B. Andrei Bernevig , Ali Yazdani

Superconductors hosting long-sought excitations called Majorana fermions may be ultimately used as qubits of fault-tolerant topological quantum computers. A crucial challenge toward the topological quantum computer is to implement quantum…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Cássio Sozinho Amorim , Kazuto Ebihara , Ai Yamakage , Yukio Tanaka , Masatoshi Sato

Braiding operations are challenging to create topological quantum computers. It is unclear whether braiding operations can be executed with any materials. Although various calculations based on Majorana fermions show braiding possibilities,…

Mesoscale and Nanoscale Physics · Physics 2021-06-14 Kyoung Hwan Choi , Dong Hack Suh

Majorana zero modes are anyons obeying non-Abelian exchange statistics distinct from fermions or bosons. While significant progresses have been achieved in the past two decades in searching for these exotic excitations in solid-state…

A trijunction made of three topological semiconducting wires, each supporting a Majorana bound state at its two extremities, appears as one of the simplest geometry in order to perform braiding of Majorana fermions. By embedding the…

Mesoscale and Nanoscale Physics · Physics 2019-10-15 Mircea Trif , Pascal Simon

Given recent progress in the realization of Majorana zero modes in semiconducting nanowires with proximity-induced superconductivity, a crucial next step is to attempt an experimental demonstration of the predicted braiding statistics…

Mesoscale and Nanoscale Physics · Physics 2017-05-08 David J. Clarke , Jay D. Sau , Sankar Das Sarma

We introduce non-Hermitian generalizations of Majorana zero modes (MZMs) which appear in the topological phase of a weakly dissipative Kitaev chain coupled to a Markovian bath. Notably, the presence of MZMs ensures that the steady state in…

Mesoscale and Nanoscale Physics · Physics 2019-08-07 Simon Lieu

Majorana zero modes in superconductor-nanowire hybrid structures are a promising candidate for topologically protected qubits with the potential to be used in scalable structures. Currently, disorder in such Majorana wires is a major…

Mesoscale and Nanoscale Physics · Physics 2024-01-22 Matthias Thamm , Bernd Rosenow

Majorana fermions, quantum particles with non-Abelian exchange statistics, are not only of fundamental importance, but also building blocks for fault-tolerant quantum computation. Although certain experimental breakthroughs for observing…

Mesoscale and Nanoscale Physics · Physics 2014-04-30 Rui-Lin Chu , Gui-Bin Liu , Wang Yao , Xiaodong Xu , Di Xiao , Chuanwei Zhang

We propose an experiment that would establish the entanglement of Majorana zero modes in semiconductor nanowires by testing the Bell and Clauser-Horne-Shimony-Holt inequalities. Our proposal is viable with realistic system parameters,…

Mesoscale and Nanoscale Physics · Physics 2024-02-13 David E. Drummond , Alexey A. Kovalev , Chang-Yu Hou , Kirill Shtengel , Leonid P. Pryadko

We study various aspects of the topological quantum computation scheme based on the non-Abelian anyons corresponding to fractional quantum hall effect states at filling fraction 5/2 using the Temperley-Lieb recoupling theory. Unitary…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Zheyong Fan , Hugo de Garis

Stimulated by a very recent experiment observing successfully two superconducting states with even- and odd-number of electrons in a nanowire topological superconductor as expected from the existence of two end Majorana quasiparticles (MQs)…

Superconductivity · Physics 2016-08-01 Zhi Wang , Wen-Chao Huang , Qi-Feng Liang , Xiao Hu

Majorana zero modes (MZMs), prime candidates for topological quantum bits, are detected as zero bias conductance peaks (ZBPs) in tunneling spectroscopy measurements. Implementation of a narrow and high tunnel barrier in the next generation…

Anyon colliders -- quantum Hall devices where dilute quasiparticle beams collide at a quantum point contact -- provide an interferometer-free probe of anyonic exchange phases through current cross correlations. Within a non-equilibrium…

Mesoscale and Nanoscale Physics · Physics 2025-10-15 Bernd Rosenow , Bertrand I. Halperin

We review the topological quantum computation scheme of Das Sarma et al. from the perspective of the conformal field theory for the two-dimensional critical Ising model. This scheme originally used the monodromy properties of the…

High Energy Physics - Theory · Physics 2008-11-26 Lachezar S. Georgiev

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