Kondo Correlations and Majorana Bound States in a Metal to Quantum-Dot to Topological-Superconductor Junction

Abstract

Electron transport through [normal metal]-[quantum dot]-[topological superconductor] junction is studied and reveals interlacing physics of Kondo correlations with two Majorana fermions bound state residing on the opposite edges of the topological superconductor. When the strength of the Majorana fermion coupling exceeds the temperature T , this combination of Kono-Majorana fermion physics can be observed: The usual peak of the temperature dependent zero biased conductance σ(V = 0, T ) splits and the conductance has a dip at T = 0. The height of the conductance side-peaks decreases with magnetic field.

Majorana modes and complex band structure of quantum wires

“…(19) is equivalent to that of the full Eq. (18). The robustness of the suggested numerical algorithms, both for 2D and 1D, is seen in the fact that for any complex k the F functions can be computed, avoiding singular matrices or ill-behaved numerical problems.…”

Magnetotransport and induced superconductivity in Bi based three‐dimensional topological insulators

“…The high potential of this particle in quantum computation led to many new proposals in various material systems, such as topological insulator/superconductor structures [14,88,89], spin-triplet p-wave superconductors [13, 90 -93], helical superconductors [94] topological superconductors [15, 16, 95 -97], semiconductor/metals with strong orbit coupling in combination with superconductors or superconductors with strong spin -orbit coupling [98][99][100][101]. In the latter category the most well-known device is inducing superconductivity in nanowires structures with strong Zeeman and Rashba fields [100][101][102][103][104][105][106][107][108][109][110][111]. First signatures of the Majorana fermion are revealed [102, 103, 112 -114] but in order to test all its peculiar properties the realization of superconducting interference devices will be a prerequisite [115,116].…”

Majorana fermions and odd-frequency Cooper pairs in a normal-metal nanowire proximity-coupled to a topological superconductor

“…16,17 Actually, numerous theoretical studies have discussed MFs or MBSs in such nanowires. 18,19 The zero-bias conductance peak reported very recently would be considered as an evidence of MFs (MBS). 16,17,20 These researches have stimulated a number of theoretical investigations on unusual charge transport phenomena through the MBS in normal-metal/superconductor (NS) and superconductor/normal-metal/superconductor (SNS) junctions on nanowires.…”