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This is a tutorial review of methods to braid the world lines of non-Abelian anyons (Majorana zero-modes) in topological superconductors. That "Holy Grail" of topological quantum information processing has not yet been reached in the…

介观与纳米尺度物理 · 物理学 2020-08-06 C. W. J. Beenakker

We investigate the Josephson effect in a bilayer graphene flake contacted by two monolayer sheet deposited by superconducting electrodes. It is found that when the electrodes are attached to the different layers of the bilayer, the…

介观与纳米尺度物理 · 物理学 2015-08-12 Babak Zare Rameshti , Malek Zareyan , Ali G. Moghaddam

Abrikosov vortices in Fe-based superconductors are a promising platform for hosting Majorana zero modes. Their adiabatic exchange is a key ingredient for Majorana-based quantum computing. However, the adiabatic braiding process can not be…

超导电性 · 物理学 2020-05-27 Thore Posske , Ching-Kai Chiu , Michael Thorwart

We explore vortex dynamics in a two-dimensional Josephson junction array of micron-size superconducting islands fabricated from an epitaxial Al/InAs superconductor-semiconductor heterostructure, with a global top gate controlling Josephson…

超导电性 · 物理学 2025-10-22 C. G. L. Bøttcher , F. Nichele , J. Shabani , C. J. Palmstrøm , C. M. Marcus

Recent experimental advances have unveiled promising evidence of vortex-bound Majorana quasiparticles in multiple superconducting compounds. However, theoretical progress in understanding these phenomena, especially from ab initio…

超导电性 · 物理学 2025-04-10 Zhuo Chen , Jiangxu Li , Lun-Hui Hu , Zhen Bi , Rui-Xing Zhang

We study theoretically second-order topological superconductors characterized by the presence of pairs of zero-energy Majorana corner states. We uncover a quadrupole spin polarization at the system edges that provides a striking signature…

介观与纳米尺度物理 · 物理学 2021-01-13 Kirill Plekhanov , Niclas Müller , Yanick Volpez , Dante M. Kennes , Herbert Schoeller , Daniel Loss , Jelena Klinovaja

We theoretically study a Josephson junction formed by two finite-size $s$-wave SCs on a topological insulator under a magnetic field. At certain conditions, the junction hosts the chiral Majorana modes enclosing the two finite-size SCs. The…

介观与纳米尺度物理 · 物理学 2019-09-02 Sang-Jun Choi , H. -S. Sim

We theoretically study a Kitaev wire interrupted by an extra site which gives rise to super exchange coupling between two Majorana bound states. We show that this system hosts a tunable, non-equlibrium Josephson effect with a characteristic…

量子气体 · 物理学 2016-08-22 C. Laflamme , J. C. Budich , P. Zoller , M. Dalmonte

Recently, much research has been dedicated to understanding topological superconductivity and Majorana zero modes induced by a magnetic field in hybrid proximity structures. This paper proposes a realization of topological superconductivity…

介观与纳米尺度物理 · 物理学 2019-03-14 G. Tkachov

We characterize topological features of Josephson junctions formed by coupled mesoscopic chiral $p$-wave superconducting islands. Through analytic and numerical studies of the low-lying BdG (Bogoliubov-de Gennes) spectrum, we identify…

We show how to exchange (braid) Majorana fermions in a network of superconducting nanowires by control over Coulomb interactions rather than tunneling. Even though Majorana fermions are charge-neutral quasiparticles (equal to their own…

介观与纳米尺度物理 · 物理学 2013-07-09 B. van Heck , A. R. Akhmerov , F. Hassler , M. Burrello , C. W. J. Beenakker

A planar Josephson junction with a normal metal attached on its top surface will form a hollow nanowire structure due to its three dimensional nature. In such hollow nanowire structure, the magnetic flux induced by a small magnetic field…

超导电性 · 物理学 2019-12-25 Jie Liu , Yijia Wu , Qing-Feng Sun , X. C. Xie

Topological superconductors differ from topologically trivial ones for the presence of topologically protected zero-energy modes. To date, experimental evidence of topological superconductivity in nanostructures has been mainly obtained by…

介观与纳米尺度物理 · 物理学 2016-07-22 Pasquale Marra , Roberta Citro , Alessandro Braggio

Two-dimensional arrays of superconductors separated by normal metallic regions exhibit rich phenomenology and a high degree of controllability. We establish such systems as platforms for topological phases of matter, and in particular…

介观与纳米尺度物理 · 物理学 2024-04-29 Omri Lesser , Ady Stern , Yuval Oreg

We study the equilibrium dc Josephson current in a junction between an $s$-wave and a topological superconductor. Cooper pairs from the $s$-wave superconducting lead can transfer to the topological side either via an unpaired Majorana zero…

介观与纳米尺度物理 · 物理学 2021-02-09 Chun-Xiao Liu , Bernard van Heck , Michael Wimmer

We study Josephson junctions between superconductors connected through the helical edge states of a two-dimensional topological insulator in the presence of a magnetic barrier. As the equilibrium Andreev bound states of the junction are…

介观与纳米尺度物理 · 物理学 2015-05-30 Driss M. Badiane , Manuel Houzet , Julia S. Meyer

We consider microwave spectroscopy of Josephon junctions composed of hybridized Majorana states in topological 1-D superconductors. We point out how spectroscopic features of the junction appear in the current phase relation under microwave…

介观与纳米尺度物理 · 物理学 2013-10-30 Pauli Virtanen , Patrik Recher

Majorana modes and fractional fermions are two types of edge zero modes appearing separately in topological superconductors and dimerized chains. Here we reveal how to harvest both types of edge modes simultaneously in an exotic chain. Such…

强关联电子 · 物理学 2016-02-04 Dan-bo Zhang , Qiang-Hua Wang , Z. D. Wang

Vortex dynamics in a bilayer thin film superconductor are studied through a Josephson-coupled double layer XY model. A renormalization group analysis shows that there are three possible states associated with the relative phase of the…

超导电性 · 物理学 2009-11-11 Wei Zhang , H. A. Fertig

Twisted bilayers of high-$T_c$ cuprate superconductors have been argued to form topological phases with spontaneously broken time reversal symmetry ${\cal T}$ for certain twist angles. With the goal of helping to identify unambiguous…

超导电性 · 物理学 2022-02-16 Tarun Tummuru , Stephan Plugge , Marcel Franz