6533b837fe1ef96bd12a1dc8
RESEARCH PRODUCT
Effect of disorder on Majorana localization in topological superconductors: a quasiclassical approach
Tero T. HeikkiläPauli VirtanenYao Lusubject
Work (thermodynamics)suprajohtavuusField (physics)CrossoverFOS: Physical sciencessuperconductorsTopology01 natural sciencessuprajohteet010305 fluids & plasmasSuperconductivity (cond-mat.supr-con)disordered systems0103 physical sciencesMesoscale and Nanoscale Physics (cond-mat.mes-hall)010306 general physicsSuperconductivityPhysicsCondensed Matter - Mesoscale and Nanoscale Physicsmajorana fermionsScatteringCondensed Matter - SuperconductivityFunction (mathematics)Disordered Systems and Neural Networks (cond-mat.dis-nn)Condensed Matter - Disordered Systems and Neural NetworksCoupling (probability)kvasihiukkasetMAJORANAdescription
Two-dimensional (2D) topological superconductors (TS) host chiral Majorana modes (MMs) localized at the boundaries. In this work, we study the effect of disorder on the localization length of MMs in two-dimensional spin-orbit (SO) coupled superconductors within quasiclassical approximation. We find nonmonotonic behavior of the Majorana localization length as a function of disorder strength. At weak disorder, the Majorana localization length decreases with an increasing disorder strength. Decreasing the disorder scattering time below a crossover value ${\ensuremath{\tau}}_{c}$, the Majorana localization length starts to increase. The crossover scattering time depends on the relative magnitudes of the two ingredients behind TS: SO coupling and exchange field. For dominating SO coupling, ${\ensuremath{\tau}}_{c}$ is small, and vice versa for the dominating exchange field.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2020-01-01 |