scholarly journals Suppression of2πphase slip due to hidden zero modes in one-dimensional topological superconductors

2013 ◽  
Vol 87 (6) ◽  
Author(s):  
David Pekker ◽  
Chang-Yu Hou ◽  
Doron L. Bergman ◽  
Sam Goldberg ◽  
İnanç Adagideli ◽  
...  
Keyword(s):  
One Dimensional ◽  
Zero Modes ◽  
Topological Superconductors

scholarly journals Quantum gates for Majoranas zero modes in topological superconductors in one-dimensional geometry

2021 ◽  
Vol 103 (20) ◽  
Author(s):  
Marek Narożniak ◽  
Matthieu C. Dartiailh ◽  
Jonathan P. Dowling ◽  
Javad Shabani ◽  
Tim Byrnes
Keyword(s):  
Quantum Gates ◽  
One Dimensional ◽  
Zero Modes ◽  
Topological Superconductors

scholarly journals Flux-stabilized Majorana zero modes in coupled one-dimensional Fermi wires

2018 ◽  
Vol 98 (16) ◽  
Author(s):  
Chun Chen ◽  
Wei Yan ◽  
C. S. Ting ◽  
Yan Chen ◽  
F. J. Burnell
Keyword(s):  
One Dimensional ◽  
Zero Modes

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 Majorana zero modes in one-dimensional quantum wires without long-ranged superconducting order

2011 ◽  
Vol 84 (19) ◽  
Author(s):  
Lukasz Fidkowski ◽  
Roman M. Lutchyn ◽  
Chetan Nayak ◽  
Matthew P. A. Fisher
Keyword(s):  
Quantum Wires ◽  
One Dimensional ◽  
Zero Modes

scholarly journals Characterizations of topological superconductors: Chern numbers, edge states and Majorana zero modes

2017 ◽  
Vol 19 (9) ◽  
pp. 093018 ◽  
Author(s):  
Xiao-Ping Liu ◽  
Yuan Zhou ◽  
Yi-Fei Wang ◽  
Chang-De Gong
Keyword(s):  
Edge States ◽  
Zero Modes ◽  
Topological Superconductors ◽  
Chern Numbers

scholarly journals Search for non-Abelian Majorana braiding statistics in superconductors

2020 ◽  
Author(s):  
Carlo Beenakker
Keyword(s):  
Quantum Information ◽  
Parameter Space ◽  
Quantum Information Processing ◽  
Fusion Rule ◽  
Real Space ◽  
Edge Mode ◽  
Zero Modes ◽  
Topological Superconductors ◽  
Topological Quantum ◽  
Basic Concepts

This is a tutorial review of methods to braid non-Abelian anyons (Majorana zero-modes) in topological superconductors. That ``Holy Grail'' of topological quantum information processing has not yet been reached in the laboratory, but there now exists a variety of platforms in which one can search for the Majorana braiding statistics. After an introduction to the basic concepts of braiding we discuss how one might be able to braid immobile Majorana zero-modes, bound to the end points of a nanowire, by performing the exchange in parameter space, rather than in real space. We explain how Coulomb interaction can be used to both control and read out the braiding operation, even though Majorana zero-modes are charge neutral. We ask whether the fusion rule might provide for an easier pathway towards the demonstration of non-Abelian statistics. In the final part we discuss an approach to braiding in real space, rather than parameter space, using vortices injected into a chiral Majorana edge mode as ``flying qubits''.

scholarly journals Entanglement topological invariants for one-dimensional topological superconductors

2020 ◽  
Vol 101 (8) ◽  
Author(s):  
P. Fromholz ◽  
G. Magnifico ◽  
V. Vitale ◽  
T. Mendes-Santos ◽  
M. Dalmonte
Keyword(s):  
Topological Invariants ◽  
One Dimensional ◽  
Topological Superconductors
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