Composite Majorana fermion wave functions in nanowires

Jelena Klinovaja and Daniel Loss
Phys. Rev. B 86, 085408 – Published 6 August 2012

Abstract

We consider Majorana fermions (MFs) in quasi-one-dimensional nanowire systems containing normal and superconducting sections where the topological phase based on Rashba spin-orbit interaction can be tuned by magnetic fields. We derive explicit analytic solutions of the MF wave function in the weak and strong spin orbit interaction regimes. We find that the wave function for one single MF is a composite object formed by superpositions of different MF wave functions which have nearly disjoint supports in momentum space. These contributions are coming from the extrema of the spectrum, one centered around zero momentum and the other around the two Fermi points. As a result, the various MF wave functions have different localization lengths in real space and interference among them leads to pronounced oscillations of the MF probability density. For a transparent normal-superconducting junction we find that in the topological phase the MF leaks out from the superconducting into the normal section of the wire and is delocalized over the entire normal section, in agreement with numerical results obtained in previous studies.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
1 More
  • Received 31 May 2012

DOI:https://doi.org/10.1103/PhysRevB.86.085408

©2012 American Physical Society

Authors & Affiliations

Jelena Klinovaja and Daniel Loss

  • Department of Physics, University of Basel, Klingelbergstrasse 82, 4056 Basel, Switzerland

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 86, Iss. 8 — 15 August 2012

Reuse & Permissions
Access Options
Event
Physics Next Workshops
March 20, 2017

The American Physical Society is initiating a new series of international workshops. These Physics Next workshops will be aimed at fostering new and emerging areas of physics research, focusing on topics that straddle traditional subject boundaries and are starting to “emerge from the noise.”

The first workshop is titled “Physics Next: Materials Design and Discovery,” and will take place on May 15 -17, 2017. More information.

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review B

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×