Dimensional crossover in spin-orbit-coupled semiconductor nanowires with induced superconducting pairing

Tudor D. Stanescu, Roman M. Lutchyn, S. Das Sarma
2013 Physical Review B  
We show that the topological Majorana modes in nanowires much longer than the superconducting coherence length are adiabatically connected with discrete zero-energy states generically occurring in short nanowires. We demonstrate that these zero-energy crossings can be tuned by an external magnetic field and are protected by the particle-hole symmetry. We study the evolution of the low-energy spectrum and the splitting oscillations as a function of magnetic field, wire length, and chemical
more » ... and chemical potential, manifestly establishing that the low-energy physics of short wires is related to that occurring in long wires. This physics, which represents a hallmark of spinless p-wave superconductivity, can be observed in tunneling conductance measurements.
doi:10.1103/physrevb.87.094518 fatcat:ounsk2iqobhohcjwh6sjak7kpm