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We investigate the Majorana fermions in a semiconductor nanostructure with two wires connected through a ring. The nanostructure is mirror symmetric and in the proximity of a superconductor. The Rashba spin-orbit coupling and a magnetic…

Mesoscale and Nanoscale Physics · Physics 2014-08-01 B. Y. Sun , M. W. Wu

We show that periodic lattice of Abrikosov vortices in chiral $p$ wave superconductor in general supports fermionic states with zero energy provided the intervortex distance is smaller than the critical one. The zero modes appear at the…

Superconductivity · Physics 2014-09-16 M. A. Silaev

Spatial separation of Majorana zero modes distinguishes trivial from topological midgap states and is key to topological protection in quantum computing applications. Although signatures of Majorana zero modes in tunneling spectroscopy have…

Mesoscale and Nanoscale Physics · Physics 2020-04-28 M. T. Deng , S. Vaitiekénas , E. Prada , P. San-Jose , J. Nygård , P. Krogstrup , R. Aguado , C. M. Marcus

Vortices in chiral topological superconductors are known for trapping Majorana zero modes as a signature response to their bulk-state topologies. In this work, we establish a similar bulk-vortex correspondence for two-dimensional…

Strongly Correlated Electrons · Physics 2022-08-04 Rui-Xing Zhang

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

The antiferromagnetic topological insulator (AFTI) is topologically protected by the combined time-reversal and translational symmetry $\mathcal{T}_c$. In this paper we investigate the effects of the $s$-wave superconducting pairings on the…

Superconductivity · Physics 2022-01-26 Beibing Huang , Xiaosen Yang , Qinfang Zhang , Ning Xu

We theoretically investigate the behavior of dark solitons in a one-dimensional spin-orbit coupled atomic Fermi gas in harmonic traps, by solving self-consistently the Bogoliubov-de Gennes equations. The dark soliton - to be created by…

Quantum Gases · Physics 2015-02-16 Xia-Ji Liu

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 study a heterostructure which consists of a topological insulator and a superconductor with a hole. The hole pins a vortex. The system supports a robust Majorana fermion state bound to the vortex core. We investigate the possibility of…

Strongly Correlated Electrons · Physics 2014-03-26 R. S. Akzyanov , A. V. Rozhkov , A. L. Rakhmanov , Franco Nori

We propose a simple approach to realize two-dimensional Floquet topological superfluid by periodically tuning the depth of square optical lattice potentials. We show that the periodic driving can induce topological phase transitions between…

Quantum Gases · Physics 2014-10-21 Xiaosen Yang

Engineering chiral $p$-wave superconductivity in semiconductor structures offers fascinating ways to obtain and study Majorana modes in a condensed matter context. Here, we theoretically investigate chiral $p$-wave superconductivity in…

Mesoscale and Nanoscale Physics · Physics 2015-04-15 Benedikt Scharf , Igor Žutić

Certain types of topological superconductors and superfluids are known to host protected Majorana zero modes in cores of Abrikosov vortices. When such vortices are arranged in a dense periodic lattice one expects zero modes from neighboring…

Superconductivity · Physics 2015-10-28 Tianyu Liu , M. Franz

We propose a topological field theory for a spin-less two-dimensional chiral superconductor that contains fundamental Majorana fields. Due to a fermionic gauge symmetry, the Majorana modes survive as dynamical degrees of freedom only at…

Superconductivity · Physics 2012-11-12 T. H. Hansson , A. Karlhede , Masatoshi Sato

Potter and Lee have demonstrated the presence of Majorana zero modes at the ends of quasi one-dimensional (1-D) p+ip superconductors. We use conformal field theory (CFT) methods to show that inter-edge tunneling of the vortex excitations…

Mesoscale and Nanoscale Physics · Physics 2013-08-14 Jimmy A. Hutasoit , Ajit C. Balram

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

We consider a two-dimensional px+i py superconductor in the presence of multiple vortices, which support zero-energy Majorana fermion states in their cores. Intervortex tunnelings of the Majorana fermions lift the topological state…

Mesoscale and Nanoscale Physics · Physics 2009-09-02 Meng Cheng , Roman M. Lutchyn , Victor Galitski , S. Das Sarma

Majorana zero modes (MZMs) are highly sought-after states with a possible application in quantum computation. Here, we show that vortex-core MZMs can carry a nontrivial angular momentum. This establishes new `flavors' of Majorana modes,…

Superconductivity · Physics 2026-01-19 Giulia Venditti , Christophe Berthod , Louk Rademaker

A superconductor with $p_x+ip_y$ order has long fascinated the physics community because vortex defects in such a system host Majorana zero modes. Here we propose a simple construction of a chiral superconductor using proximitized quantum…

Superconductivity · Physics 2021-03-10 Tarun Tummuru , Oguzhan Can , Marcel Franz

We describe experimental signatures of Majorana fermion edge states, which form at the interface between a superconductor and the surface of a topological insulator. If a lead couples to the Majorana fermions through electron tunneling, the…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 K. T. Law , Patrick A. Lee , T. K. Ng

Recent experiments have observed bulk superconductivity in doped topological insulators. Here we ask whether vortex Majorana zero modes, previously predicted to occur when superconductivity is induced on the surface of topological…

Superconductivity · Physics 2015-03-17 Pavan Hosur , Pouyan Ghaemi , Roger S. K. Mong , Ashvin Vishwanath