scholarly journals Topological and holonomic quantum computation based on second-order topological superconductors

2020 ◽  
Vol 2 (4) ◽  
Author(s):  
Song-Bo Zhang ◽  
W. B. Rui ◽  
Alessio Calzona ◽  
Sang-Jun Choi ◽  
Andreas P. Schnyder ◽  
...  
Keyword(s):  
Quantum Computation ◽  
Second Order ◽  
Topological Superconductors

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 Magnetic flux periodicity in second order topological superconductors

2020 ◽  
Vol 101 (12) ◽  
Author(s):  
Suman Jyoti De ◽  
Udit Khanna ◽  
Sumathi Rao
Keyword(s):  
Magnetic Flux ◽  
Second Order ◽  
Topological Superconductors

scholarly journals Polygon sign rules of Majorana fermions in two-dimensional topological superconductors

2016 ◽  
Vol 30 (27) ◽  
pp. 1650213
Author(s):  
Qiu-Bo Cheng ◽  
Jing He ◽  
Jing Yu ◽  
Xiao-Ming Zhao ◽  
Su-Peng Kou
Keyword(s):  
Quantum Computation ◽  
Numerical Approach ◽  
Majorana Fermions ◽  
Two Dimensional ◽  
Line Defect ◽  
Topological Superconductor ◽  
Topological Superconductors ◽  
Topological Quantum ◽  
Different Types ◽  
Topological Quantum Computation

Recently, Majorana fermions (MFs) have attracted intensive attention due to their exotic statistics and possible applications in topological quantum computation. They are proposed to exist in various two-dimensional (2D) topological systems, such as [Formula: see text] topological superconductor (SC) and nanowire–superconducting hybridization system. In this paper, we point out that Majorana fermions in different topological systems obey different types of polygon sign rules. A numerical approach is described to identify the type of polygon sign rule of the Majorana fermions. Applying the approach to study two 2D topological systems, we find that vortex-induced Majorana fermions obey topological polygon sign rule and line-defect-induced Majorana fermions obey normal polygon sign rule.

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 Quadrupole spin polarization as signature of second-order topological superconductors

2021 ◽  
Vol 103 (4) ◽  
Author(s):  
Kirill Plekhanov ◽  
Niclas Müller ◽  
Yanick Volpez ◽  
Dante M. Kennes ◽  
Herbert Schoeller ◽  
...  
Keyword(s):  
Spin Polarization ◽  
Second Order ◽  
Quadrupole Spin ◽  
Topological Superconductors
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