Non-Topological Majorana Zero Modes in Inhomogeneous Spin Ladders

ORAL

Abstract

We show that the coupling of homogeneous Heisenberg spin-1/2 ladders in different phases leads to the formation of interfacial zero energy Majorana bound states. Unlike Majorana bound states at the interfaces of topological quantum wires, these states are void of topological protection and generally susceptible to local perturbations of the host spin system. However, a key message of our work is that in practice they show a high degree of resilience over wide parameter ranges which may make them interesting candidates for applications.

*Work at BNL (N.J.R., A.M.T., A.W., R.M.K.) was supported by the CMPMS Division funded by the U.S. Department of Energy, Office of Ba- sic Energy Sciences, under Contract No. DE-SC0012704. N.J.R. was supported by the EU Horizon 2020 program, grant agreement No. 745944. A.W. acknowledges sup- port from the Deutsche Forschungsgemeinschaft (DFG), Grant Nos. WE4819/2-1 and WE4819/3-1. D.S. is member of the D-ITP consortium of the Netherlands Organisation for Scientific Research. A.A. and R.E. ac- knowledge DFG support via Grant No. EG 96/11-1 and CRC TR 183 (project C4). R.M.K. and A.M.T. acknowl- edge the hospitality of LMU Munich and of HHU Dusseldorf where parts of this work have been done.

Presenters

  • Robert Konik

    • Condensed Matter Physics & Material Science, Brookhaven National Lab
    • Brookhaven National Laboratory

Authors

  • Robert Konik

    • Condensed Matter Physics & Material Science, Brookhaven National Lab
    • Brookhaven National Laboratory
  • Neil Robinson

    • Institute for Theoretical Physics, University of Amsterdam
    • University of Amsterdam
  • Alex Altland

    • Universitat zu Koln
  • Reinhold Egger

    • Heinrich-Heine-Universitat
  • Niklas Gergs

    • Utrecht University
  • Wei Li

    • Beihang University, Beijing, China
    • Beihang University
  • Dirk Schuricht

    • Utrecht University
  • Alexei Tsvelik

    • Brookhaven National Laboratory
    • CMPMSD, Brookhaven National Laboratory
  • Andreas Weichselbaum

    • Brookhaven National Laboratory
    • Brookhaven National Laboratory, New York, USA
    • Brookhaven National Lab
    • Condensed Matter Physics and Materials Science Department, Brookhaven National Laboratory, NY