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DMRG Study of an Interaction-Driven Topological Superconducting Phase in a Quantum Wire


  Anna Keselman  ,  Arbel Haim  ,  Yuval Oreg  ,  Erez Berg  
 Weizmann Institute of Science

We consider a microscopic model for a quantum wire with Rashba spin-orbit coupling and on-site repulsive interactions, proximity coupled to an s-wave superconductor. Using the density matrix renormalization group we show that strong enough repulsive interactions can drive the system into a time reversal invariant topological phase. To this end we study the scaling of the low-lying energy spectrum of the wire with its length in different regions of the parameters space and obtain a phase diagram of the system. We further investigate the topological phase and observe non-local correlations in the wire, a manifestation of the Kramers' pairs of Majorana end modes present in the system.