scholarly journals Majorana bound states in topological insulators with hidden Dirac points

2020 ◽  
Vol 2 (3) ◽  
Author(s):  
Ferdinand Schulz ◽  
Kirill Plekhanov ◽  
Daniel Loss ◽  
Jelena Klinovaja
Keyword(s):  
Bound States ◽  
Topological Insulators ◽  
Majorana Bound States

scholarly journals Majorana bound states in topological insulators without a vortex

2021 ◽  
Vol 104 (16) ◽  
Author(s):  
Henry F. Legg ◽  
Daniel Loss ◽  
Jelena Klinovaja
Keyword(s):  
Bound States ◽  
Topological Insulators ◽  
Majorana Bound States

scholarly journals Topological isoconductance signatures in Majorana nanowires

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
L. S. Ricco ◽  
J. E. Sanches ◽  
Y. Marques ◽  
M. de Souza ◽  
M. S. Figueira ◽  
...  
Keyword(s):  
Quantum Dot ◽  
Transport Properties ◽  
Spin Polarization ◽  
Bound States ◽  
Spin Asymmetry ◽  
Experimental Protocol ◽  
Zero Bias ◽  
Topological Superconductor ◽  
Hybrid Device ◽  
Majorana Bound States

AbstractWe consider transport properties of a hybrid device composed by a quantum dot placed between normal and superconducting reservoirs, and coupled to a Majorana nanowire: a topological superconducting segment hosting Majorana bound states (MBSs) at the opposite ends. It is demonstrated that if highly nonlocal and nonoverlapping MBSs are formed in the system, the zero-bias Andreev conductance through the dot exhibits characteristic isoconductance profiles with the shape depending on the spin asymmetry of the coupling between the dot and the topological superconductor. Otherwise, for overlapping MBSs with less degree of nonlocality, the conductance is insensitive to the spin polarization and the isoconductance signatures disappear. This allows to propose an alternative experimental protocol for probing the nonlocality of the MBSs in Majorana nanowires.

scholarly journals Majorana Bound States Hallmarks in a Quantum Topological Interferometer Ring

2021 ◽  
pp. 2100040
Author(s):  
Ana M. Calle ◽  
Pedro A. Orellana ◽  
Jorge A. Otálora
Keyword(s):  
Bound States ◽  
Majorana Bound States

scholarly journals TOPOLOGICAL INSULATOR AND THE DIRAC EQUATION

SPIN ◽  
2011 ◽  
Vol 01 (01) ◽  
pp. 33-44 ◽  
Author(s):  
SHUN-QING SHEN ◽  
WEN-YU SHAN ◽  
HAI-ZHOU LU
Keyword(s):  
Dirac Equation ◽  
Topological Insulator ◽  
Bound States ◽  
Topological Insulators ◽  
Mass Term ◽  
Point Of View ◽  
Quadratic Term ◽  
General Description ◽  
Dirac Equations ◽  
Topological Quantum

We present a general description of topological insulators from the point of view of Dirac equations. The Z2 index for the Dirac equation is always zero, and thus the Dirac equation is topologically trivial. After the quadratic term in momentum is introduced to correct the mass term m or the band gap of the Dirac equation, i.e., m → m − Bp2, the Z2 index is modified as 1 for mB > 0 and 0 for mB < 0. For a fixed B there exists a topological quantum phase transition from a topologically trivial system to a nontrivial system when the sign of mass m changes. A series of solutions near the boundary in the modified Dirac equation is obtained, which is characteristic of topological insulator. From the solutions of the bound states and the Z2 index we establish a relation between the Dirac equation and topological insulators.

Odd–Even Effect of the Persistent Current in a Quantum Dot Ring with Embedded Majorana Bound States

2015 ◽  
Vol 84 (2) ◽  
pp. 024707 ◽  
Author(s):  
Wei-Jiang Gong ◽  
Ying Zhao ◽  
Zhen Gao ◽  
Guangyu Yi ◽  
Xin Zhang
Keyword(s):  
Quantum Dot ◽  
Bound States ◽  
Persistent Current ◽  
Majorana Bound States

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 Photon-Assisted Transport Through a Quantum Dot Side-Coupled to Majorana Bound States

2020 ◽  
Vol 8 ◽  
Author(s):  
Feng Chi ◽  
Tian-Yu He ◽  
Jing Wang ◽  
Zhen-Guo Fu ◽  
Li-Ming Liu ◽  
...  
Keyword(s):  
Quantum Dot ◽  
Bound States ◽  
Majorana Bound States
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