scholarly journals Majorana bound states in open quasi-one-dimensional and two-dimensional systems with transverse Rashba coupling

2016 ◽  
Vol 93 (15) ◽  
Author(s):  
N. Sedlmayr ◽  
J. M. Aguiar-Hualde ◽  
C. Bena
Keyword(s):  
Bound States ◽  
Two Dimensional ◽  
One Dimensional ◽  
Majorana Bound States ◽  
Rashba Coupling

scholarly journals Delocalisation of Majorana quasiparticles in plaquette–nanowire hybrid system

2019 ◽  
Vol 9 (1) ◽  
Author(s):  
Aksel Kobiałka ◽  
Tadeusz Domański ◽  
Andrzej Ptok
Keyword(s):  
Bound States ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Two Dimensional ◽  
Edge States ◽  
Zero Energy ◽  
One Dimensional ◽  
Majorana Bound States ◽  
Entire Structure ◽  
Majorana Modes

Abstract Interplay between superconductivity, spin-orbit coupling and magnetic field can lead to realisation of the topologically non–trivial states which in finite one dimensional nanowires are manifested by emergence of a pair of zero-energy Majorana bound states. On the other hand, in two dimensional systems the chiral edge states can appear. We investigate novel properties of the bound states in a system of mixed dimensionality, composed of one-dimensional nanowire connected with two-dimensional plaquette. We study this system, assuming either its part or the entire structure to be in topologically non–trivial superconducting state. Our results show delocalisation of the Majorana modes, upon leaking from the nanowire to the plaquette with some tendency towards its corners.

scholarly journals Assessing Bound States in a One-Dimensional Topological Superconductor: Majorana versus Tamm

2021 ◽  
Author(s):  
Niccolò Traverso Ziani ◽  
Lucia Vigliotti ◽  
Matteo Carrega ◽  
Fabio Cavaliere
Keyword(s):  
Quantum Computation ◽  
Bound States ◽  
Research Activity ◽  
One Dimensional ◽  
Majorana Bound States ◽  
Topological Superconductors ◽  
Topological Quantum ◽  
Tamm State ◽  
Topological Quantum Computation ◽  
Intense Research

Majorana bound states in topological superconductors have attracted intense research activity in view of applications in topological quantum computation. However, they are not the only example of topological bound states that can occur in such systems. We here study a model in which both Majorana and Tamm bound states compete. We show both numerically and analytically that, surprisingly, the Tamm state remains partially localized even when the spectrum becomes gapless. Despite this fact, we demonstrate that the Majorana polarization shows a clear transition between the two regimes.

scholarly journals Platform of chiral Majorana edge modes and its quantum transport phenomena

2019 ◽  
Vol 2 (1) ◽  
Author(s):  
James Jun He ◽  
Tian Liang ◽  
Yukio Tanaka ◽  
Naoto Nagaosa
Keyword(s):  
Quantum Transport ◽  
Bound States ◽  
Majorana Fermions ◽  
Two Dimensional ◽  
Quasi Particle ◽  
One Dimensional ◽  
Solid States ◽  
Topological Superconductors ◽  
Wide Range ◽  
Majorana Modes

AbstractMajorana fermions, as electronic quasi-particle modes in solid states, have been under the focus of research due to their exotic physical properties. While the evidence of Majorana fermions as zero-dimensional bound states has been well established, the existence of one-dimensional Majorana modes is still under debate. The main reason is that the current theoretical proposals of platforms supporting such states are very challenging experimentally. Here, we propose a method to create two-dimensional topological superconductors with a heterostructure of ferromagnet, topological insulator thin film and superconductor. We show that such a system supports one-dimensional chiral Majorana edge modes in a wide range of parameters which is readily achievable in experiments. We further propose a new transport measurement to detect these modes.

scholarly journals Two-Dimensional Platform for Networks of Majorana Bound States

2017 ◽  
Vol 118 (10) ◽  
Author(s):  
Michael Hell ◽  
Martin Leijnse ◽  
Karsten Flensberg
Keyword(s):  
Bound States ◽  
Two Dimensional ◽  
Majorana Bound States

scholarly journals Assessing Bound States in a One-Dimensional Topological Superconductor: Majorana versus Tamm

Symmetry ◽  
2021 ◽  
Vol 13 (6) ◽  
pp. 1100
Author(s):  
Lucia Vigliotti ◽  
Fabio Cavaliere ◽  
Matteo Carrega ◽  
Niccolò Traverso Ziani
Keyword(s):  
Quantum Computation ◽  
Bound States ◽  
Research Activity ◽  
One Dimensional ◽  
Majorana Bound States ◽  
Topological Superconductors ◽  
Topological Quantum ◽  
Tamm State ◽  
Topological Quantum Computation ◽  
Intense Research

Majorana bound states in topological superconductors have attracted intense research activity in view of applications in topological quantum computation. However, they are not the only example of topological bound states that can occur in such systems. Here, we study a model in which both Majorana and Tamm bound states compete. We show both numerically and analytically that, surprisingly, the Tamm state remains partially localized even when the spectrum becomes gapless. Despite this fact, we demonstrate that the Majorana polarization shows a clear transition between the two regimes.

scholarly journals From fractionally charged solitons to Majorana bound states in a one-dimensional interacting model

2014 ◽  
Vol 89 (11) ◽  
Author(s):  
Doru Sticlet ◽  
Luis Seabra ◽  
Frank Pollmann ◽  
Jérôme Cayssol
Keyword(s):  
Bound States ◽  
One Dimensional ◽  
Majorana Bound States
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