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In this paper, the px+ipy topological superconductor with vortex superlattice is studied. We found that there exist mid-gap energy bands induced by the vortex superlattice and the mid-gap energy bands have nontrivial topological properties…

Superconductivity · Physics 2015-06-18 Jiang Zhou , Shi-Zhu Wang , Ya-Jie Wu , Rong-Wu Li , Su-Peng Kou

Majorana fermions are predicted to localize at the edge of a topological superconductor, a state of matter that can form when a ferromagnetic system is placed in proximity to a conventional superconductor with strong spin-orbit interaction.…

Mesoscale and Nanoscale Physics · Physics 2014-10-06 Stevan Nadj-Perge , Ilya K. Drozdov , Jian Li , Hua Chen , Sangjun Jeon , Jungpil Seo , Allan H. MacDonald , B. Andrei Bernevig , Ali Yazdani

We study finite system properties of the canonical low energy model for a semiconducting nanowire with Rashba spin-orbit coupling. The case of an isolated wire as well as of one proximitized by an s-wave superconductor are considered.…

Mesoscale and Nanoscale Physics · Physics 2026-02-24 Nico Leumer , Harald Schmid , Milena Grifoni , Magdalena Marganska

The spectrum of excitations of the chiral superconducting ring with internal and external radii, comparable with coherence length, trapping a unit flux is calculated. We find within the Bogoliubov-deGennes approach that there exists a pair…

Superconductivity · Physics 2015-06-12 B. Rosenstein , I. Shapiro , B. Ya. Shapiro

We theoretically study scanning gate microscopy of a superconductor-proximitized semiconducting wire focusing on the potential for detection of Majorana bound states. We exploit the possibility to create a local potential perturbation by…

Mesoscale and Nanoscale Physics · Physics 2025-11-18 S. Maji , M. P. Nowak

We study the proximity effect between an s-wave superconductor and the surface states of a strong topological insulator. The resulting two dimensional state resembles a spinless p_x+ip_y superconductor, but does not break time reversal…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Liang Fu , C. L. Kane

I perform a complete classification of 2d, quasi-1d and 1d topological superconductors which originate from the suitable combination of inhomogeneous Rashba spin-orbit coupling, magnetism and superconductivity. My analysis reveals…

Mesoscale and Nanoscale Physics · Physics 2013-10-30 Panagiotis Kotetes

Recently, it has been suggested that topological superconductivity and Majorana end states can be realized in a chain of magnetic impurities on the surface of an s-wave superconductor when the magnetic moments form a spin helix as a result…

Mesoscale and Nanoscale Physics · Physics 2013-10-17 Falko Pientka , Leonid I. Glazman , Felix von Oppen

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

Superconductors with an odd number of bands crossing the Fermi energy have topologically protected Andreev states at interfaces, including Majorana states in one dimensional geometries. Superconductivity, a low number of 1D channels, large…

Mesoscale and Nanoscale Physics · Physics 2012-12-11 J. G. Rodrigo , V. Crespo , H. Suderow , S. Vieira , F. Guinea

In this paper, we investigate the edge Majorana modes in the simplest possible $p{}_{x}+ip_{y}$ superconductor defined on surfaces with different geometry - the annulus, the cylinder, the M\"obius band and a cone (by cone we mean a cone…

Strongly Correlated Electrons · Physics 2016-09-28 A. Quelle , T. Kvorning , T. H. Hansson , C. Morais Smith

We study how the shape of a periodic magnetic field affects the presence of Majorana bound states (MBS) in a nanowire-superconductor system. Motivated by the field configurations that can be produced by an array of nanomagnets, we consider…

Mesoscale and Nanoscale Physics · Physics 2020-03-17 Viktoriia Kornich , Maxim G. Vavilov , Mark Friesen , M. A. Eriksson , S. N. Coppersmith

The existence of edge states and zero energy modes in vortex cores is a hallmark of topologically nontrivial phases realized in various condensed matter systems such as the fractional quantum Hall states, p+ip superconductors, and Z_2…

Superconductivity · Physics 2009-04-03 Masatoshi Sato , Satoshi Fujimoto

There is presently a tremendous activity around the field of topological superconductivity and Majorana fermions. Among the many questions raised, it has become increasingly important to establish the topological or non-topological origin…

We compare topological insulator materials and Rashba coupled surfaces as candidates for engineering p+ip superconductivity. Specifically, in each type of material we examine 1) the limitations to inducing superconductivity by proximity to…

Superconductivity · Physics 2011-08-09 Andrew C. Potter , Patrick A. Lee

We model theoretically a two-dimensional electron gas (2DEG) covered by a superconductor and demonstrate that topological superconducting channels are formed when stripes of the superconducting layer are removed. As a consequence, Majorana…

Mesoscale and Nanoscale Physics · Physics 2017-10-18 Michael Hell , Martin Leijnse , Karsten Flensberg

We theoretically investigate the localization properties of Majorana states (MSs) in proximitized, planar Josephson Junctions (JJs) oriented along different crystallographic orientations and in the presence of an in-plane magnetic field and…

Superconductivity · Physics 2025-12-11 A. P. Garrido , P. A. Orellana , A. Matos-Abiague

Majorana zero modes (MZMs) emerge as edge states in topological superconductors and are promising for topological quantum computation, but their detection has so far been elusive. Here we show that non-Hermiticity can be used to obtain…

Superconductivity · Physics 2023-08-25 R. Arouca , Jorge Cayao , Annica M. Black-Schaffer

We show that the surface of an $s$-wave superconductor decorated with a two-dimensional lattice of magnetic impurities can exhibit chiral topological superconductivity. If impurities order ferromagnetically and the superconducting surface…

Mesoscale and Nanoscale Physics · Physics 2016-07-29 Jian Li , Titus Neupert , Zhi Jun Wang , A. H. MacDonald , A. Yazdani , B. Andrei Bernevig

Majorana modes offer great potential for fault-tolerant quantum computation due to their topological protection. However, for superconductor-semiconductor nanowire hybrids, intrinsic disorder makes the unambiguous detection of Majorana…