Abstract:
We are witnessing and participating the grand discovery of various topological states of matter. In this talk, I will introduce time-reversal-invariant topological superconductivity and its two experimental realizations in one dimension. Each boundary hosts one Majorana Kramers pair, producing tabletop supersymmetry, quantized tunneling conductance, and fractional Josephson effects beyond Kitaev's classification. I will then highlight the tantalizing roles played by the many-body interactions in such a platform. One prime example is the emergence of quadruple periodicity and fractionalized parafermions in a Josephson junction. Another paradigmatic setup is a weakly probed floating topological superconductor, in which a two-channel Kondo ground state becomes topologically stabilized.