• From Kitaev chain to a nanowire

  • From Kitaev model to an experiment
  • Small parameters
  • The need for spin
  • Realistic superconducting pairing
  • s-wave superconductor with magnetic field
  • How to open the gap?
  • Putting everything together
  • Outlook: From Kitaev chain to a nanowire

• Majorana signatures: 4π-periodic Josephson effect, Andreev conductance quantization

  • How to detect Majoranas
  • Andreev reflection
  • Andreev reflection off a Majorana zero mode
  • Quantization of the Majorana resonance
  • Topological invariant of the reflection matrix
  • Flux-induced fermion parity switch in topological superconductors
  • Detecting the fermion parity switch using the Josephson effect
  • Summary: Majorana signatures: 4π-periodic Josephson effect, Andreev conductance quantization

• Why Majoranas are cool: braiding and quantum computation

  • Braiding of Majoranas
  • Majorana zero modes in nanowire networks
  • Non-Abelian statistics of Majoranas
  • Majoranas and quantum computation: basic ideas
  • Summary: Why Majoranas are cool: braiding and quantum computation