**Host** Vlad Kozii/Joel Moore**Time/Venue** Tomorrow, Wednesday, March 4 pm in Le Conte 402**Title** Mesoscopic conductance fluctuations in topological superconducting wires**Abstract** We study quasiparticle transport in the bulk of disordered topological superconducting wires (length L) of symmetry class D, which can have a pair of edge Majorana states. Our focus is the critical regime between topological and critical phases, in which average conductance <g> scales as 1/\sqrt{L} at large L. We calculate conductance variance var g with the help of n = 2 (two-replica) nonlinear supersymmetric sigma-model, which boils down to the Fourier analysis on the sigma-model supermanifold. Eigenfunctions of the corresponding Laplace-Beltrami operator were constructed with the help of Iwasawa parametrisation. We obtained explicit expression for var g at arbitrary L in the diffusive regime, which describes the crossover from the regime of Drude conductivity at small lengths to the regime of a broad conductance distribution at large lengths. Also we analyse the case of left/right channels imbalance, which is described by a sigma-model with Wess-Zumino-Witten topological term.

# QM Seminar Speaker Daniil Antonenko (Landau Institute / Skoltech) Wednesday, March 4 pm in Le Conte 402

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