Transport properties of majorana fermions in topological superconductors

2014 ◽  
Author(s):  
Jun He
Keyword(s):  
Transport Properties ◽  
Majorana Fermions ◽  
Topological Superconductors

scholarly journals Fidelity in topological superconductors with end Majorana fermions

2013 ◽  
Vol 377 (38) ◽  
pp. 2653-2658 ◽  
Author(s):  
Zhi Wang ◽  
Qi-Feng Liang ◽  
Dao-Xin Yao
Keyword(s):  
Majorana Fermions ◽  
Topological Superconductors

scholarly journals Conversion of a conventional superconductor into a topological superconductor by topological proximity effect

2020 ◽  
Vol 11 (1) ◽  
Author(s):  
C. X. Trang ◽  
N. Shimamura ◽  
K. Nakayama ◽  
S. Souma ◽  
K. Sugawara ◽  
...  
Keyword(s):  
Proximity Effect ◽  
Energy Gap ◽  
Majorana Fermions ◽  
Cooper Pairs ◽  
Superconducting Transition ◽  
Topological Superconductors ◽  
Alternative Approach ◽  
Properties Of Materials ◽  
Topological Proximity ◽  
Conventional Superconductor

AbstractRealization of topological superconductors (TSCs) hosting Majorana fermions is a central challenge in condensed-matter physics. One approach is to use the superconducting proximity effect (SPE) in heterostructures, where a topological insulator contacted with a superconductor hosts an effective p-wave pairing by the penetration of Cooper pairs across the interface. However, this approach suffers a difficulty in accessing the topological interface buried deep beneath the surface. Here, we propose an alternative approach to realize topological superconductivity without SPE. In a Pb(111) thin film grown on TlBiSe2, we discover that the Dirac-cone state of substrate TlBiSe2 migrates to the top surface of Pb film and obtains an energy gap below the superconducting transition temperature of Pb. This suggests that a Bardeen-Cooper-Schrieffer superconductor is converted into a TSC by the topological proximity effect. Our discovery opens a route to manipulate topological superconducting properties of materials.

Majorana Field Effect Transistor. Majorana Fermion Detection and Transport Properties

2020 ◽  
Vol 17 (11) ◽  
pp. 4826-4834
Author(s):  
Miraci S. Costa ◽  
Antônio T. M. Beirão ◽  
Carlos A. B. da Silva ◽  
Shirsley J. S. da Silva ◽  
Jordan Del Nero
Keyword(s):  
Transport Properties ◽  
Majorana Fermion ◽  
Majorana Fermions ◽  
S Wave ◽  
Conductance Peak ◽  
Current Voltage ◽  
The Matrix ◽  
Effect Transistor ◽  
The Asymmetry ◽  
Current Difference

In this work we obtain analytically the transport properties as current and conductance in a toy model system formed by a quantum dot with a single level connected to a Kitaev chain deposited on a s-wave superconductor to identify the signature of Majorana zero modes (MZMs) called Majorana Fermions in solid state. For this, we use the Non-Equilibrium Green’s Functions (NEGF) also named as Keldysh formalism in the matrix form to obtain the current–voltage (I–V) and conductance– voltage (G–V) curves to which goes to characterize the investigated system. Thus, it’s possible to verify the presence of the Majorana Fermions in three points: (i) Conductance peak in zero polarization; (ii) The current difference depends on the asymmetry of μL and μR. We find that only for μL = μR, the source and drain currents are equal. (iii) The current difference depends on the asymmetry of ΓL and ΓR.

scholarly journals Spin-polarized edge currents and Majorana fermions in one- and two-dimensional topological superconductors

2015 ◽  
Vol 92 (21) ◽  
Author(s):  
Kristofer Björnson ◽  
Sergey S. Pershoguba ◽  
Alexander V. Balatsky ◽  
Annica M. Black-Schaffer
Keyword(s):  
Majorana Fermions ◽  
Two Dimensional ◽  
Topological Superconductors ◽  
Spin Polarized

scholarly journals Conditions for fully gapped topological superconductivity in topological insulator nanowires

2019 ◽  
Vol 6 (5) ◽  
Author(s):  
Fernando de Juan ◽  
Jens H Bardarson ◽  
Roni Ilan
Keyword(s):  
Topological Insulator ◽  
Continuum Model ◽  
Rotational Symmetry ◽  
Tight Binding ◽  
Majorana Fermions ◽  
Tight Binding Model ◽  
Binding Model ◽  
One Dimensional ◽  
Topological Superconductors ◽  
The One

Among the different platforms to engineer Majorana fermions in one-dimensional topological superconductors, topological insulator nanowires remain a promising option. Threading an odd number of flux quanta through these wires induces an odd number of surface channels, which can then be gapped with proximity induced pairing. Because of the flux and depending on energetics, the phase of this surface pairing may or may not wind around the wire in the form of a vortex. Here we show that for wires with discrete rotational symmetry, this vortex is necessary to produce a fully gapped topological superconductor with localized Majorana end states. Without a vortex the proximitized wire remains gapless, and it is only if the symmetry is broken by disorder that a gap develops, which is much smaller than the one obtained with a vortex. These results are explained with the help of a continuum model and validated numerically with a tight binding model, and highlight the benefit of a vortex for reliable use of Majorana fermions in this platform.

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