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Topological quantum computation based on Majorana objects is subject to a significant challenge because at least some of the two-qubit quantum gates rely on the fermion (either charge or spin) parity of the qubits. This dependency renders…

Quantum Physics · Physics 2024-08-14 Ye-Min Zhan , Guan-Dong Mao , Yu-Ge Chen , Yue Yu , Xi Luo

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

Localized Majorana fermions emerge in many topologically ordered systems and exhibit exchange statistics of Ising anyons. This enables noise-resistant implementation of a limited set of operations by braiding and fusing Majorana fermions.…

Quantum Physics · Physics 2014-07-21 Earl T. Campbell , Matty J. Hoban , Jens Eisert

Majorana zero modes are expected to arise in semiconductor-superconductor hybrid systems, with potential topological quantum computing applications. One limitation of this approach is the need for a relatively high external magnetic field…

Motivated by a recent experiment in which zero-bias peaks have been observed in scanning tunneling microscopy (STM) experiments performed on chains of magnetic atoms on a superconductor, we show, by generalizing earlier work, that a…

Superconductivity · Physics 2015-03-17 Eugene Dumitrescu , Brenden Roberts , Sumanta Tewari , Jay D. Sau , S. Das Sarma

Common proposals for realizing topological superconductivity and Majorana zero modes in semiconductor-superconductor hybrids require large magnetic fields, which paradoxically suppress the superconducting gap of the parent superconductor.…

Mesoscale and Nanoscale Physics · Physics 2023-11-09 Benjamin D Woods , Mark Friesen

We investigate dissipation-induced p-wave paired states of fermions in two dimensions and show the existence of spatially separated Majorana zero modes in a phase with vanishing Chern number. We construct an explicit and natural model of a…

Quantum Gases · Physics 2013-03-07 C. -E. Bardyn , M. A. Baranov , E. Rico , A. Imamoglu , P. Zoller , S. Diehl

We consider an interacting nanowire/superconductor heterostructure attached to metallic leads. The device is described by an unusual low-energy model involving spin-1 conduction electrons coupled to a nonlocal spin-1/2 Kondo impurity built…

Strongly Correlated Electrons · Physics 2014-02-11 Martin R. Galpin , Andrew K. Mitchell , Jesada Temaismithi , David E. Logan , Benjamin Béri , Nigel R. Cooper

Demonstrating the non-Abelian Ising anyon statistics of Majorana zero modes in a physical platform still represents a major open challenge in physics. We here show that the linear low-frequency charge conductance of a Majorana…

Strongly Correlated Electrons · Physics 2024-10-07 Andrea Nava , Reinhold Egger , Fabian Hassler , Domenico Giuliano

Because Majorana zero modes store quantum information non-locally, they are protected from noise, and have been proposed as a building block for a quantum computer. We show how to use the same protection from noise to implement universal…

Quantum Physics · Physics 2018-06-05 T. E. O'Brien , P. Rożek , A. R. Akhmerov

We study a Majorana-carrying quantum wire, driven into a trivial phase by breaking the spatial inversion symmetry with a tilted external magnetic field. Interestingly, we predict that a supercurrent applied in the proximate superconductor…

Mesoscale and Nanoscale Physics · Physics 2013-02-18 Xiong-Jun Liu , Alejandro M. Lobos

We study Fabry-Perot interference in hybrid devices, each consisting of a mesoscopic superconducting disk deposited on the surface of a three-dimensional topological insulator. Such structures are hypothesized to contain protected zero…

Mesoscale and Nanoscale Physics · Physics 2016-05-17 A. D. K. Finck , C. Kurter , E. D. Huemiller , Y. S. Hor , D. J. Van Harlingen

We study the stability of the topological quantum computation proposals involving Majorana fermions against thermal fluctuations. We use a minimal realistic model of a spinless px+ipy superconductor and consider effect of excited midgap…

Superconductivity · Physics 2012-04-25 Meng Cheng , Roman M. Lutchyn , S. Das Sarma

Heavy fermion materials have recently attracted attention for their potential to combine topological protection with strongly correlated electron physics. To date, the ideas of topological protection have been restricted to the heavy…

Strongly Correlated Electrons · Physics 2017-08-03 Po-Yao Chang , Onur Erten , Piers Coleman

Majorana zero mode is an exotic quasi-particle excitation with non-Abelian statistics in topological superconductor systems, and can serve as the cornerstone for topological quantum computation, a new type of fault-tolerant quantum…

Superconductivity · Physics 2022-04-27 Xianxin Wu , Rui-Xing Zhang , Gang Xu , Jiangping Hu , Chao-Xing Liu

The Majorana fermion, which is its own anti-particle and obeys non-abelian statistics, plays a critical role in topological quantum computing. It can be realized as a bound state at zero energy, called a Majorana zero mode (MZM), in the…

The Majorana fermion offers fascinating possibilities such as non-Abelian statistics and non-local robust qubits, and hunting it is one of the most important topics in current condensed matter physics. Most of the efforts have been focused…

Mesoscale and Nanoscale Physics · Physics 2024-09-27 Lina Johnsen Kamra , Bo Lu , Jacob Linder , Yukio Tanaka , Naoto Nagaosa

One of the cornerstones for topological quantum computations is the Majorana zero mode, which has been intensively searched in fractional quantum Hall systems and topological superconductors. Several recent works suggest that such an exotic…

Strongly Correlated Electrons · Physics 2018-04-18 Rui-Xing Zhang , Chao-Xing Liu

We present an ab initio modeling framework to simulate Majorana transport in 2D semiconducting materials, paving the way for topological qubits based on 2D nanoribbons. By combining density-functional-theory and quantum transport…

Mesoscale and Nanoscale Physics · Physics 2021-11-02 Y. Lee , T. Agarwal , M. Luisier

Moir\'e materials provide a remarkably tunable platform for topological and strongly correlated quantum phases of matter. Very recently, the first zero field Abelian fractional Chern insulators (FCIs) have been experimentally demonstrated…

Strongly Correlated Electrons · Physics 2025-02-26 Hui Liu , Raul Perea-Causin , Emil J. Bergholtz
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