Topological Superconductivity and Majorana Fermions in Coupled Wires (Fan Yang)

Topological Superconductivity and Majorana Fermions in Coupled Wires

  • Date: Dec 12, 2019
  • Time: 11:30
  • Speaker: Fan Yang
  • (Ecole Polytechnique)
  • Location: Max-Planck-Institut für Quantenoptik
  • Room: Herbert Walther Lecture Hall
In the first part, we present a theoretical study of the interplay between topological p-wave superconductivity, orbital magnetic fields and quantum Hall phases in coupled wire systems. We consider two-dimensional systems made of weakly coupled ladders. There, we engineer a p+ip superconductor with the chiral Majorana edge current and describe a generalization of the ν = 1/2 fractional quantum Hall phase. These phases might be realized in solid-state or cold-atom nanowires. For the second part, we will address the spin ladder analogs of the Kitaev honeycomb model. A generalized phase diagram for the two-leg ladder system is obtained together with a driven time-dependent protocol based on superconducting box circuits.

On top of that, we propose a new observable, the valence bond fluctuations to locate the gapless spin liquid phase, and uncover its relation with entanglement entropy.

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