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Numerical calculations for Majorana zero modes on a one-dimensional chain are performed using the technique of block diagonalization for general parameter settings. It is found that Majorana zero modes occur near the ends of the chain and…

Quantum Physics · Physics 2014-08-20 Lei Chen , W. LiMing , Jia-Hui Huang

Majorana zero modes can appear at the wire ends of a 1D topological superconductor and manifest themselves as a quantized zero-bias conductance peak in the tunneling spectroscopy of normal-superconductor junctions. However, in…

Mesoscale and Nanoscale Physics · Physics 2021-06-09 Haining Pan , Chun-Xiao Liu , Michael Wimmer , Sankar Das Sarma

The proximity effect in hybrid superconductor-semiconductor structures, crucial for realizing Majorana edge modes, is complicated to control due to its dependence on many unknown microscopic parameters. In addition, defects can spoil the…

Mesoscale and Nanoscale Physics · Physics 2018-01-26 T. Ö. Rosdahl , A. Vuik , M. Kjaergaard , A. R. Akhmerov

Rashba spin-orbit coupled semiconductor-superconductor hybrid structures in the presence of Zeeman splitting have emerged as the first experimentally realizable topological superconductor supporting zero-energy Majorana bound states.…

Superconductivity · Physics 2013-03-29 Dibyendu Roy , C. J. Bolech , Nayana Shah

We theoretically investigate the possibility of obtaining Majorana zero modes (MZMs) in penta-silicene nanoribbons (p-SiNRs) with induced \textit{p}-wave superconductivity. The model explicitly considers an external magnetic field…

We examine properties of the mean-field wave function of the one-dimensional Kitaev model supporting Majorana Zero Modes (MZMs) \emph{when restricted} to a fixed number of particles. Such wave functions can in fact be realized as exact…

Superconductivity · Physics 2023-09-04 Rohith Sajith , Kartiek Agarwal , Ivar Martin

We investigate electron transport through multiterminal networks hosting Majorana bound states (MBS) in the framework of full counting statistics (FCS). In particular, we apply our general results to T-shaped junctions of two Majorana…

Mesoscale and Nanoscale Physics · Physics 2014-11-26 Luzie Weithofer , Patrik Recher , Thomas L. Schmidt

We study a series of dynamical protocols which involve periodically driving a quantum dot coupled to a putative nanowire hosting Majorana zero modes (MZMs) to i) reduce the hybridization between MZMs, ii) improve the coherence of the…

Mesoscale and Nanoscale Physics · Physics 2022-04-18 Brett Min , Bastien Fajardo , T. Pereg-Barnea , Kartiek Agarwal

We present a novel controllable platform for engineering Majorana zero modes. The platform consists of a ferromagnetic metallic wire placed among conventional superconductors, which are in proximity to ferromagnetic insulators. We…

Superconductivity · Physics 2021-12-01 Giorgos Livanas , Nikolaos Vanas , Georgios Varelogiannis

We propose a route to detect Majorana bound states (MBSs) by coupling a topological superconductor to quantum dots (QDs) in a $pnp$ junction. Here, two MBSs are coherently coupled to electrons on two QDs, which recombine with holes to…

Mesoscale and Nanoscale Physics · Physics 2024-07-18 Lena Bittermann , Fernando Dominguez , Patrik Recher

Majorana bound states (MBSs) located at the ends of a hybrid superconductor-semiconductor nanowire are only true zero modes if their characteristic localization length is much smaller than the nanowire length, $\xi_M\ll L$. Otherwise, their…

Mesoscale and Nanoscale Physics · Physics 2024-09-13 Carlos Payá , Pablo San-Jose , Carlos J. Sánchez Martínez , Ramón Aguado , Elsa Prada

The topological origin of the zero bias conductance signatures obtained via conductance spectroscopy in topological superconductor hybrid systems is a much contended issue. Recently, non-local conductance signatures that exploit the…

Mesoscale and Nanoscale Physics · Physics 2022-04-27 Abhishek Kejriwal , Bhaskaran Muralidharan

We theoretically study a spin-orbit-coupled nanowire proximitized by a superconductor in the presence of an externally applied Zeeman field ("Majorana nanowire") with zero-energy Majorana bound states localized at the two ends of the wire…

Mesoscale and Nanoscale Physics · Physics 2018-12-26 Yingyi Huang , Jay D. Sau , Tudor D. Stanescu , S. Das Sarma

Coupled Majorana zero modes with nonzero energies are generally detrimental to the non-Abelian statistics due to the additional dynamic phase. Nevertheless, we show that a well-connected lead can introduce a local non-Hermitian dissipation…

Mesoscale and Nanoscale Physics · Physics 2022-08-16 Hongchao Liu , Ming Lu , Yijia Wu , Jie Liu , X. C. Xie

Majorana 'zero-modes' are expected to be immune to decoherence. The primary method for their characterization in a 1D topological superconductor, is measuring the tunneling current into the edge of the superconductor. Presently, the…

Mesoscale and Nanoscale Physics · Physics 2018-07-19 Anna Grivnin , Ella Bor , Moty Heiblum , Yuval Oreg , Hadas Shtrikman

We propose a scheme to distinguish zero-energy peaks due to Majorana from those due to other effects at finite temperature by simply replacing the normal metallic lead with a resistive lead (large R k\Omega) in the tunneling spectroscopy.…

Mesoscale and Nanoscale Physics · Physics 2013-11-19 Dong E. Liu

Motivated by the recent experimental realization of minimal Kitaev chains using quantum dots, we investigate the Majorana zero modes (MZM) in $Y$-shape Kitaev wires. We solve the associated Kitaev models analytically at the sweet spot…

Superconductivity · Physics 2023-10-03 Bradraj Pandey , Nitin Kaushal , Gonzalo Alvarez , Elbio Dagotto

One-dimensional topological superconductors host Majorana zero modes (MZMs), the non-local property of which could be exploited for quantum computing applications. Spin- polarized scanning tunneling microscopy measurements show that MZMs…

Mesoscale and Nanoscale Physics · Physics 2017-10-16 Sangjun Jeon , Yonglong Xie , Jian Li , Zhijun Wang , B. Andrei Bernevig , Ali Yazdani

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…

We show that the microwave (MW) spectra in semiconductor-nanowire-based transmon qubits provide a strong signature of the presence of Majorana bound states in the junction. This occurs as an external magnetic field tunes the wire into the…

Mesoscale and Nanoscale Physics · Physics 2020-10-06 J. Avila , E. Prada , P. San-Jose , R. Aguado
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