scholarly journals Effective response theory for zero-energy Majorana bound states in three spatial dimensions

2015 ◽  
Vol 91 (18) ◽  
Author(s):  
Pedro L. e S. Lopes ◽  
Jeffrey C. Y. Teo ◽  
Shinsei Ryu
Keyword(s):  
Bound States ◽  
Zero Energy ◽  
Response Theory ◽  
Effective Response ◽  
Majorana Bound States ◽  
Spatial Dimensions

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 Quantum Interference Effects in Quantum Dot Molecular With Majorana Bound States

2021 ◽  
Vol 8 ◽  
Author(s):  
Feng Chi ◽  
Jing Wang ◽  
Tian-Yu He ◽  
Zhen-Guo Fu ◽  
Ping Zhang ◽  
...  
Keyword(s):  
Quantum Interference ◽  
Bound States ◽  
Quantum Information Processing ◽  
Bound State ◽  
Double Quantum ◽  
Zero Energy ◽  
Non Invasive ◽  
Majorana Bound States ◽  
Quantum Interference Effect ◽  
Core Issues

Non-invasive detection of the Majorana bound state (MBSs), a kind of quasiparticle without charge and mass, is one of the core issues in current condensed matter physics. Here we study in theory the quantum interference effect in parallel-coupled double quantum dots which are connected either by Majorana bound states (MBSs) or regular fermions. We find that the zero-energy conductance develops a sharp peak when the dots are connected by the MBSs, whereas that in the case of the dots are coupled via regular fermions shows a valley. By varying the coupling strength between the dots and the electron reservoirs, the conductance in the two structures changes in different ways. By comparing the properties of the linear conductance in the two systems, the information of the MBSs formed at the two ends of a topological superconductor nanowire then can be inferred. We also find that the MBSs in the present structure also induces the Fano effect, and is favorable in quantum information processing.

scholarly journals Evidence for Majorana bound states in an iron-based superconductor

Science ◽  
2018 ◽  
Vol 362 (6412) ◽  
pp. 333-335 ◽  
Author(s):  
Dongfei Wang ◽  
Lingyuan Kong ◽  
Peng Fan ◽  
Hui Chen ◽  
Shiyu Zhu ◽  
...  
Keyword(s):  
Bound States ◽  
Scanning Tunneling Spectroscopy ◽  
Scanning Tunneling ◽  
Vortex Center ◽  
Zero Energy ◽  
Zero Bias ◽  
Majorana Bound States ◽  
Topological Materials ◽  
Field Temperature ◽  
Iron Based

The search for Majorana bound states (MBSs) has been fueled by the prospect of using their non-Abelian statistics for robust quantum computation. Two-dimensional superconducting topological materials have been predicted to host MBSs as zero-energy modes in vortex cores. By using scanning tunneling spectroscopy on the superconducting Dirac surface state of the iron-based superconductor FeTe0.55Se0.45, we observed a sharp zero-bias peak inside a vortex core that does not split when moving away from the vortex center. The evolution of the peak under varying magnetic field, temperature, and tunneling barrier is consistent with the tunneling to a nearly pure MBS, separated from nontopological bound states. This observation offers a potential platform for realizing and manipulating MBSs at a relatively high temperature.

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

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 Spectral singularities and zero energy bound states

2011 ◽  
Vol 63 (3) ◽  
pp. 369-373 ◽  
Author(s):  
W. D. Heiss ◽  
R. G. Nazmitdinov
Keyword(s):  
Bound States ◽  
Zero Energy ◽  
Spectral Singularities ◽  
Energy Bound
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