Majorana modes in hybrid planar nanowires:
Topological phases, orbital effects and transport properties
Majorana modes in hybrid nanowires are effectively chargeless, zero-energy quasiparticles that appear from the splitting ( through a phase transition ) of bulk electronic states into pairs of quasiparticles. These Majorana quasiparticles are their own antiparticles and they arise as end states in hybrid semiconductor wires and as chiral edge states in hybrid wires of quantum-anomalous Hall insulators. They have attracted strong interest, both as exotic quasi-particles offering new physics and as candidates for topological quantum computing. In this talk, I will present applications of complex band structure theory to describe Majorana states in planar nanowires. The complex wave number analysis is applied to both the chiral and non chiral Majorana modes. Majorana conductance oscillations and oscillation supression phenomena are also described. In each case we describe the corresponding pattern of local currents causing or preventing the oscillations.
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