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We provide a current perspective on the rapidly developing field of Majorana zero modes in solid state systems. We emphasize the theoretical prediction, experimental realization, and potential use of Majorana zero modes in future…

Strongly Correlated Electrons · Physics 2015-11-09 Sankar Das Sarma , Michael Freedman , Chetan Nayak

Majorana modes can arise as zero energy bound states in a variety of solid state systems. A two-dimensional phase supporting these quasiparticles, for instance, emerges on the surface of a topological superconductor with the zero modes…

Strongly Correlated Electrons · Physics 2021-03-26 Tarun Tummuru , Alberto Nocera , Ian Affleck

Proposed approaches to topological quantum computation based on Majorana bound states may enable new paths to fault-tolerant quantum computing. Several recent experiments have suggested that the vortex cores of topological superconductors,…

Superconductivity · Physics 2021-09-08 Chengyun Hua , Gábor B. Halász , Eugene Dumitrescu , Matthew Brahlek , Benjamin Lawrie

Based on the principle of linearized stability proposed by Lyapounov, we investigate the robustness of Majorana zero energy state (MZES), which plays an important role in topological quantum computation. We show that the MZES is not enough…

General Physics · Physics 2022-05-11 Zheng-Chuan Wang

Majorana-zero-modes (MZMs) were predicted to exist as edge states of a physical system called the Kitaev chain. MZMs should host particles that are their own antiparticles and could be used as a basis for a qubit which is robust-to-noise.…

Quantum Physics · Physics 2022-11-22 Marko J. Rančić

The interplay of superconductivity with a non-trivial spin texture holds promises for the engineering of non-abelian Majorana quasi-particles. A wide class of systems expected to exhibit exotic correlations are based on nanoscale conductors…

Majorana zero modes (MZMs) emerging at the edges of topological superconducting wires have been proposed as the building blocks of novel, fault-tolerant quantum computation protocols. Coherent detection and manipulation of such states in…

Mesoscale and Nanoscale Physics · Physics 2019-08-28 Jesus D. Cifuentes , Luis G. G. V. Dias da Silva

Recent studies in the realization of Majorana fermion (MF) quasiparticles have focused on engineering topological superconductivity by combining conventional superconductors and spin-textured electronic materials. We propose an effective…

Mesoscale and Nanoscale Physics · Physics 2018-09-17 Ruizhi Pan , Charles W. Clark

Spin-orbit coupled semiconductor nanowires with Zeeman splitting in proximity contact with bulk $s$-wave superconductivity have recently been proposed as a promising platform for realizing Majorana fermions. However, in this setup the…

Superconductivity · Physics 2013-02-21 Ming Gong , Li Mao , Sumanta Tewari , Chuanwei Zhang

The search for Majorana bound state (MBS) has recently emerged as one of the most active research areas in condensed matter physics, fueled by the prospect of using its non-Abelian statistics for robust quantum computation. A highly…

Zero energy states in the Dirac spectrum with U(1) symmetric massive vortices of various underlying insulating orders in strained graphene are constructed in the presence of the magnetic field. An easy plane vortex of antiferromagnet and…

Mesoscale and Nanoscale Physics · Physics 2012-05-07 Bitan Roy

The observation of zero-bias conductance peaks in vortex cores of certain Fe-based superconductors has sparked renewed interest in vortex-bound Majorana states. These materials are believed to be intrinsically topological in their bulk…

Superconductivity · Physics 2023-09-13 Zhibo Ren , Justin Copenhaver , Leonid Rokhinson , Jukka I. Väyrynen

Measurement schemes of Majorana zero modes (MZMs) based on quantum dots (QDs) are of current interest as they provide a scalable platform for topological quantum computation. In a coupled qubit-QD setup we calculate the dependence of the…

Mesoscale and Nanoscale Physics · Physics 2021-06-09 Aleksei Khindanov , Dmitry Pikulin , Torsten Karzig

The vortex dynamics in a low temperature superconductor deposited on top of a rectangular array of micrometer size permalloy triangles is investigated experimentally. The rectangular unit cell is such that neighboring triangles physically…

Superconductivity · Physics 2009-11-13 J. Van de Vondel , A. V. Silhanek , V. Metlushko , P. Vavassori , B. Ilic , V. V. Moshchalkov

Semiconductor moir\'e superlattices provide a highly tunable platform to study the interplay between electron correlation and band topology. For example, the generalized Kane-Mele-Hubbard model can be simulated by the topological moir\'e…

Superconductivity · Physics 2024-01-11 Xun-Jiang Luo , Wen-Xuan Qiu , Fengcheng Wu

In this paper we show that for a range of configurations of inhomogeneous magnetic fields it is possible to create flat bands of Majorana states localized on the edges of 2-d lattices. Majorana bound states have been predicted to exist in…

Mesoscale and Nanoscale Physics · Physics 2015-03-12 N. Sedlmayr , J. M. Aguiar-Hualde , C. Bena

The coherence length of two Majorana zero energy modes in a p-wave topological superconductor is inversely proportional to the superconducting order parameter. We studied the finite size effect of the Majorana zero modes at vortices in a…

Superconductivity · Physics 2023-06-14 Bo Fu , Shun-Qing Shen

We simulate the non-Abelian exchange of Majorana zero modes (MZMs) on a quantum computer. Rather than utilizing MZMs at the boundaries of quantum Ising chains, which are typically represented as nonlocal operators on a quantum computer,…

Quantum Physics · Physics 2025-07-24 Foster Sabatino , Matthew Brooks , Charles Tahan , Silas Hoffman

We describe scanning tunneling spectroscopic signatures of Majorana zero modes (MZMs) in Kitaev spin liquids. The tunnel conductance is determined by the dynamical spin correlations of the spin liquid, which we compute exactly, and by…

Strongly Correlated Electrons · Physics 2023-02-24 Tim Bauer , Lucas R. D. Freitas , Rodrigo G. Pereira , Reinhold Egger

The possibility to observe and manipulate Majorana fermions as end states of one-dimensional topological superconductors has been actively discussed recently. In a quantum wire with strong spin-orbit coupling placed in proximity to a bulk…

Superconductivity · Physics 2014-07-31 Masaki Tezuka , Norio Kawakami