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We show that quasi-one-dimensional (1D) quantum wires can be written onto the surface of magnetic topological insulator (MTI) thin films by gate arrays. When the MTI is in a quantum anomalous Hall (QAH) state, MTI$/$superconductor quantum…

Mesoscale and Nanoscale Physics · Physics 2018-02-14 Yongxin Zeng , Chao Lei , Gaurav Chaudhary , Allan H. MacDonald

Electromagnetic properties of periodic two-dimensional sub-wavelength structures consisting of closely-packed inclusions of materials with negative dielectric permittivity $\epsilon$ in a dielectric host with positive $\epsilon_h$ can be…

Materials Science · Physics 2009-11-10 Gennady Shvets , Yaroslav Urzhumov

In this Tutorial, we give a pedagogical introduction to Majorana bound states (MBSs) arising in semiconducting nanostructures. We start by briefly reviewing the well-known Kitaev chain toy model in order to introduce some of the basic…

Mesoscale and Nanoscale Physics · Physics 2021-09-08 Katharina Laubscher , Jelena Klinovaja

Heterostructures of magnetic topological insulators (MTIs) and superconductors (SCs) in two-dimensional (2D) slab and one-dimensional (1D) nanoribbon geometries have been predicted to host, respectively, chiral Majorana edge states (CMESs)…

Mesoscale and Nanoscale Physics · Physics 2024-10-07 Julian Legendre , Eduárd Zsurka , Daniele Di Miceli , Llorenç Serra , Kristof Moors , Thomas L. Schmidt

Robustness against disorder and defects is a pivotal advantage of topological systems, manifested by absence of electronic backscattering in the quantum Hall and spin-Hall effects, and unidirectional waveguiding in their classical analogs.…

Mesoscale and Nanoscale Physics · Physics 2021-03-24 Zhe Zhang , Pierre Delplace , Romain Fleury

We propose and analyze a family of periodic braiding protocols in systems with multiple localized Majorana modes ($\textit{majoranas}$) for the purposes of Hamiltonian engineering. The protocols rely on double braids$-\textit{draids}-$which…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Ivar Martin , Kartiek Agarwal

Semiconducting nanowires in proximity to superconductors are promising experimental systems for Majorana fermions which may ultimately be used as building blocks for topological quantum computers. A serious challenge in the experimental…

Superconductivity · Physics 2012-02-13 Jay D. Sau , Chien Hung Lin , Hoi-Yin Hui , S. Das Sarma

Odd-frequency superconductivity is an exotic phase of matter in which Cooper pairing between electrons is entirely dynamical in nature. Majorana zero modes exhibit pure odd-frequency superconducting correlations due to their specific…

Superconductivity · Physics 2020-03-11 Dushko Kuzmanovski , Annica M. Black-Schaffer , Jorge Cayao

A minimal model for the hybrid superconductor-semiconductor nanowire Majorana platform is developed that fully captures the effects of the low-energy renormalization of the nanowire modes arising from the presence of the parent…

Mesoscale and Nanoscale Physics · Physics 2017-07-26 Tudor D. Stanescu , Sankar Das Sarma

Superconducting heterostructures with spin-active materials have emerged as promising platforms for engineering topological superconductors featuring Majorana bound states at surfaces, edges and vortices. Here we present a method for…

Superconductivity · Physics 2012-08-09 Jens Michelsen , Roland Grein

Using a cryogenic scanning tunneling microscopy, we report the observation of topologically nontrivial superconductivity on a single material of \beta-Bi2Pd films grown by molecular beam epitaxy. The superconducting gap associated with…

Superconductivity · Physics 2017-06-20 Yan-Feng Lv , Wen-Lin Wang , Yi-Min Zhang , Hao Ding , Wei Li , Lili Wang , Ke He , Can-Li Song , Xu-Cun Ma , Qi-Kun Xue

Chains of magnetic atoms placed on the surface of an s-wave superconductor with large spin-orbit coupling provide a promising platform for the realization of topological superconducting states characterized by the presence of Majorana…

Superconductivity · Physics 2016-01-20 Junhua Zhang , Younghyun Kim , E. Rossi , Roman M. Lutchyn

Majorana corner modes appearing in two-dimensional second-order topological superconductors have great potential applications for fault-tolerant topological quantum computations. We demonstrate that in the presence of an in-plane magentic…

Superconductivity · Physics 2021-04-07 S. Ikegaya , W. B. Rui , D. Manske , Andreas P. Schnyder

We describe designs for the realization of topological Majorana qubits in terms of proximitized topological insulator nanoribbons pierced by a uniform axial magnetic field. This platform holds promise for particularly robust Majorana bound…

Mesoscale and Nanoscale Physics · Physics 2017-04-18 Jan Manousakis , Alexander Altland , Dmitry Bagrets , Reinhold Egger , Yoichi Ando

We show that one-dimensional electron systems in proximity of a superconductor that support Majorana edge states are extremely susceptible to electron-electron interactions. Strong interactions generically destroy the induced…

Strongly Correlated Electrons · Physics 2011-07-14 Suhas Gangadharaiah , Bernd Braunecker , Pascal Simon , Daniel Loss

The interplay of disorder and short finite wire length is the crucial physics hindering progress in the semiconductor-superconductor nanowire platform for realizing non-Abelian Majorana zero modes (MZM). Disorder effectively segments the…

Mesoscale and Nanoscale Physics · Physics 2024-08-05 Haining Pan , Sankar Das Sarma

We propose a minimalist architecture for achieving various crystalline-symmetry-protected Majorana modes in an array of coupled quantum dots. Our framework is motivated by the recent experimental demonstrations of two-site and three-site…

Mesoscale and Nanoscale Physics · Physics 2024-07-02 Bradraj Pandey , Gonzalo Alvarez , Elbio Dagotto , Rui-Xing Zhang

We propose and investigate a new platform for the realization of Majorana zero modes in a thin-film heterostructure composed of an easy-plane ferromagnet and a superconductor with spin-orbit coupling. The system can support an energetically…

Superconductivity · Physics 2023-01-04 Vedangi Pathak , Sayak Dasgupta , Marcel Franz

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

Motivated by a recent breakthrough transport experiment [Phys. Rev. B.107.245423 (2023)] in Majorana nanowires, we theoretically investigate local and nonlocal transport in Majorana nanowires in various disorder regimes, correlating the…

Mesoscale and Nanoscale Physics · Physics 2023-08-16 Sankar Das Sarma , Haining Pan