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Majorana fermion (MF) excitations in solid state system have non-Abelian statistics which is essential for topological quantum computation. Previous proposals to realize MF, however, generally requires fine-tuning of parameters. Here we…

Mesoscale and Nanoscale Physics · Physics 2015-03-10 Hoi-Yin Hui , P. M. R. Brydon , Jay D. Sau , S. Tewari , S. Das Sarma

Majorana fermions, quantum particles that are their own anti-particles, are not only of fundamental importance in elementary particle physics and dark matter, but also building blocks for fault-tolerant quantum computation. Recently…

Quantum Gases · Physics 2013-11-06 Chunlei Qu , Zhen Zheng , Ming Gong , Yong Xu , Li Mao , Xubo Zou , Guangcan Guo , Chuanwei Zhang

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

Majorana fermions feature non-Abelian exchange statistics and promise fascinating applications in topological quantum computation. Recently, second-order topological superconductors (SOTSs) have been proposed to host Majorana fermions as…

Majorana fermions (MFs) are predicted to occur as zero-energy bound states in semiconductor nanowire-superconductor structures. However, in the presence of disorder or smooth confining potentials, these structures can also host…

Mesoscale and Nanoscale Physics · Physics 2013-04-12 T. D. Stanescu , Sumanta Tewari

We propose a platform for engineering helical fermions in a hybridized double-quantum-wire setup. When our setup is proximity coupled to an $s$-wave superconductor it can become a class $D$ topological superconductor exhibiting Majorana…

Strongly Correlated Electrons · Physics 2020-05-19 Ömer M. Aksoy , John R. Tolsma

The non-Abelian braiding of Majorana fermions is one of the most promising operations providing a key building block for the realization of topological quantum computation. Recently, the chiral Majorana fermions were observed in a hybrid…

Mesoscale and Nanoscale Physics · Physics 2019-05-29 Yan-Feng Zhou , Zhe Hou , Qing-Feng Sun

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

We demonstrate that Majorana fermions exist in edges of systems and in a vortex core even for superconductors with nodal excitations such as the d-wave pairing state under a particular but realistic condition in the case with an…

Superconductivity · Physics 2011-02-11 Masatoshi Sato , Satoshi Fujimoto

Obeying non-Abelian statistics, Majorana fermions holds a promise to implement fault-tolerant quantum computing. It was found that Majorana fermions can be simulated by the zero-energy excitation in a nanowire with strong spin-orbit…

Quantum Physics · Physics 2024-05-24 Ming-Jian Gao , Yu-Peng Ma , Jun-Hong An

Over the last decade, there have been considerable efforts to observe non-abelian quasi-particles in novel quantum materials and devices. These efforts are motivated by the goals of demonstrating quantum statistics of quasi-particles beyond…

Superconductivity · Physics 2023-06-26 Ali Yazdani , Felix von Oppen , Bertrand I. Halperin , Amir Yacoby

In 2D chiral p-wave superconductors, the zero-energy Majorana fermion excitations trapped at vortex cores follow non-Abelian statistics which can be potentially exploited to build a topological quantum computer. The Majorana states are…

Strongly Correlated Electrons · Physics 2010-10-01 Jay D. Sau , Roman M. Lutchyn , Sumanta Tewari , S. Das Sarma

Multiple conduction channels interacting with a quantum impurity -- a spin in the conventional ``multi-channel Kondo effect'' or a topological mesoscopic device (``topological Kondo effect'') -- has been proposed as a platform to realize…

Strongly Correlated Electrons · Physics 2023-05-12 Guangjie Li , Elio J. König , Jukka I. Väyrynen

Topological superconductors are exotic gapped phases of matter hosting Majorana mid-gap states on their boundary. In conventional topological superconductors, Majorana in-gap states appear in the form of either localized zero-dimensional…

Mesoscale and Nanoscale Physics · Physics 2021-05-10 Junyeong Ahn , Bohm-Jung Yang

Majorana zero modes (MZMs)--bearing potential applications for topological quantum computing--are verified in quasi-one-dimensional (1D) Fermion systems, including semiconductor nanowires, magnetic atomic chains, planar Josephson junctions.…

Mesoscale and Nanoscale Physics · Physics 2020-04-29 Shu-guang Cheng , Jie Liu , Haiwen Liu , Hua Jiang , Qing-feng Sun , X. C. Xie

Topological quantum computation provides an elegant way around decoherence, as one encodes quantum information in a non-local fashion that the environment finds difficult to corrupt. Here we establish that one of the key…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Jason Alicea , Yuval Oreg , Gil Refael , Felix von Oppen , Matthew P. A. Fisher

Majorana zero modes are quasiparticles that hold promise as building blocks for topological quantum computing. However, the litmus test for their detection, the observation of exotic non-abelian statistics revealed by braiding, has so far…

This is a colloquium-style introduction to the midgap excitations in superconductors known as Majorana fermions. These elusive particles, equal to their own antiparticle, may or may not exist in Nature as elementary building blocks, but in…

Mesoscale and Nanoscale Physics · Physics 2013-03-12 C. W. J. Beenakker

Realizing topological superconductivity and Majorana zero modes in the laboratory is one of the major goals in condensed matter physics. We review the current status of this rapidly-developing field, focusing on semiconductor-superconductor…

Superconductivity · Physics 2018-05-11 R. M. Lutchyn , E. P. A. M. Bakkers , L. P. Kouwenhoven , P. Krogstrup , C. M. Marcus , Y. Oreg

Realizations of Majorana fermions in solid state materials have attracted great interests recently in connection to topological order and quantum information processing. We propose a novel way to create Majorana fermions in superconductors.…

Strongly Correlated Electrons · Physics 2013-03-04 Yuan-Ming Lu , Ziqiang Wang