Transport and pumping from Majorana manipulations

Majorana zero modes are non-Abelian quasiparticles that emerge on the edges of topological phases of superconductors. Evidence of their presence have been reported in transport measurements on engineered superconducting-based nanostructures. In this talk I will discuss transport signatures of dynamical Majorana manipulation. In the first part of the talk I will show that adiabatic exchange of a pair of Majorana zero modes leads to quantized heat pumping. This feature is inherent to the presence of Majorana zero modes and I will discuss its robustness against temperature, voltage bias and the detailed coupling to the contacts. Next I will discuss conductance measurements of a Floquet Majorana wire. For this purpose I will relate the scattering matrix of the time dependent system to a fictitious stroboscopic scattering matrix. Using this simplified scattering problem I will calculate the conductance in the 4 topologically distinct phases that occur in the Floquet Kitaev wire.

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