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Majorana zero modes are localized quasiparticles that obey non-Abelian exchange statistics. Braiding Majorana zero modes forms the basis of topologically protected quantum operations which could in principle significantly reduce qubit…

Mesoscale and Nanoscale Physics · Physics 2019-11-14 Hao Zhang , Dong E. Liu , Michael Wimmer , Leo P. Kouwenhoven

Zero-energy Majorana bound states in superconductors have been proposed to be potential building blocks of a topological quantum computer, because quantum information can be encoded in the fermion occupation of a pair of {\it spatially…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Liang Fu

We consider an experimentally feasible setup to demonstrate the existence and coherent dynamics of Majorana fermion. The transport setup consists of a quantum dot and a tunnel-coupled semiconductor nanowire which is anticipated to generate…

Mesoscale and Nanoscale Physics · Physics 2013-12-16 Yunshan Cao , Peiyue Wang , Gang Xiong , Xin-Qi Li

It is argued that Majorana zero modes in a system of quantum fermions can mediate a teleportation-like process with the actual transfer of electronic material between well separated points. The problem is formulated in the context of a…

Other Condensed Matter · Physics 2007-05-23 Gordon W. Semenoff , Pasquale Sodano

Based on an exact formulation, we present a master equation approach to transport through Majorana zero modes (MZMs). Within the master equation treatment, the occupation dynamics of the regular fermion associated with the MZMs holds a…

Mesoscale and Nanoscale Physics · Physics 2022-09-28 Jinshuang Jin , Xin-Qi Li

We consider theoretically the transport properties of a spinless resonant electronic level coupled to strongly dissipative leads, in the regime of circuit impedance near the resistance quantum. Using the Luttinger liquid analogy, one…

Mesoscale and Nanoscale Physics · Physics 2014-07-02 Huaixiu Zheng , Serge Florens , Harold U. Baranger

A one-dimensional topological superconductor features a single fermionic zero mode that is delocalized over two Majorana bound states located at the ends of the system. We study a pair of spatially separated nanomechanical oscillators…

Mesoscale and Nanoscale Physics · Physics 2014-04-30 Stefan Walter , Jan Carl Budich

Motivated by recent experiments searching for Majorana fermions (MFs) in hybrid semiconducting-superconducting nanostructures, we consider a realistic tight-binding model and analyze its transport behavior numerically. In particular, we…

Mesoscale and Nanoscale Physics · Physics 2013-02-04 Diego Rainis , Luka Trifunovic , Jelena Klinovaja , Daniel Loss

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

We perform simulations for transport and nontrivial fusion of Majorana zero modes in topological superconducting quantum wires. We uncover interesting behaviors of nonadiabatic transition associated with the transport through…

Mesoscale and Nanoscale Physics · Physics 2024-12-03 Qiongyao Wang , Jing Bai , Luting Xu , Wei Feng , Xin-Qi Li

The nonlocal nature of the fermionic mode spanned by a pair of Majorana bound states in a one-dimensional topological superconductor has inspired many proposals aiming at demonstrating this property in transport. In particular, transport…

Superconductivity · Physics 2015-09-01 Jascha Ulrich , Fabian Hassler

As the condensed matter analog of Majorana fermion, the Majorana zero-mode is well known as a building block of fault-tolerant topological quantum computing. This review focuses on the recent progress of Majorana experiments, especially…

Mesoscale and Nanoscale Physics · Physics 2024-03-21 Ji-Bang Fu , Bin Li , Xin-Fang Zhang , Guang-Zheng Yu , Guang-Yao Huang , Ming-Tang Deng

It was predicted by Tewari [Phys. Rev. Lett. {\bf 100}, 027001 (2008)] that a teleportationlike electron transfer phenomenon is one of the novel consequences of the existence of Majorana fermion, because of the inherently nonlocal nature.…

Mesoscale and Nanoscale Physics · Physics 2023-09-26 Peiyue Wang , Yunshan Cao , Ming Gong , Shu-Shen Li , Xin-Qi Li

We present a hierarchical equations of motion approach, which allows a numerically exact simulation of nonequilibrium transport in general open quantum systems involving multiple macroscopic bosonic and fermionic environments. The…

Statistical Mechanics · Physics 2021-06-18 Jakob Bätge , Yaling Ke , Christoph Kaspar , Michael Thoss

A quantum dissipation theory is formulated in terms of hierarchically coupled equations of motion for an arbitrary electronic system coupled with grand canonical Fermion bath ensembles. The theoretical construction starts with the…

Mesoscale and Nanoscale Physics · Physics 2011-03-17 Jinshuang Jin , Xiao Zheng , YiJing Yan

The nonlocal nature of the Majorana zero modes implies an inherent teleportation channel and unique transport signatures for Majorana identification. In this work we make an effort to eliminate some inconsistencies between the Bogoliubov-de…

Mesoscale and Nanoscale Physics · Physics 2023-09-26 Xin-Qi Li , Luting Xu

We present a comprehensive theoretical analysis of the spin-dependent thermoelectric properties of a double quantum dot system coupled to a topological superconducting nanowire and ferromagnetic leads. The study focuses on the behavior of…

Mesoscale and Nanoscale Physics · Physics 2025-09-18 Piotr Majek , Ireneusz Weymann

We theoretically study quantum transport through a quantum dot coupled to Majorana bound states confined at the ends of a topological superconducting nanowire. The topological superconductor forms a loop and is threaded by a tunable…

Mesoscale and Nanoscale Physics · Physics 2022-04-25 Levente Máthé , Doru Sticlet , Liviu P. Zârbo

This paper provides a detailed account of the numerical implementation of the stochastic equation of motion (SEOM) method for the dissipative dynamics of fermionic open quantum systems. To enable direct stochastic calculations, a minimal…

Statistical Mechanics · Physics 2020-06-24 Arif Ullah , Lu Han , Yun-An Yan , Xiao Zheng , YiJing Yan , Vladimir Chernyak

Floquet Majorana fermions are steady states of equal superposition of electrons and holes in a periodically driven superconductor. We study the experimental signatures of Floquet Majorana fermions in transport measurements and show, both…

Mesoscale and Nanoscale Physics · Physics 2013-09-27 Arijit Kundu , Babak Seradjeh
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