Topological p-wave Superconductors with Disorder and Interactions

• URL: http://arxiv.org/abs/2408.02105v3
• Date: Fri, 08 Nov 2024 10:16:41 GMT
• Title: Topological p-wave Superconductors with Disorder and Interactions
• Authors: Frederick Del Pozo, Loïc Herviou, Olesia Dmytruk, Karyn Le Hur,
• Abstract summary: We show for the first time that the double critical Ising (DCI) phase is stabilized by strong interactions against disorder. In the presence of an inter-wire hopping term, the DCI phase turns into a protected topological phase with a bulk gap.
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• Abstract: We present a comprehensive theoretical study of interacting and disordered topological phases of coupled Kitaev wires, which may support further realistic applications of Majorana fermions. We develop a variety of analytical, mathematical and numerical methods for one and two-coupled wires, associated with a topological marker accessible from real-space correlation functions on the wire(s). We verify the stability of the topological superconducting phase and quantify disorder effects close to the quantum phase transitions, e.g. through two-point correlation functions or using a renormalization group (RG) analysis of disorder. We show for the first time that the double critical Ising (DCI) phase -- a fractional Majorana liquid characterized by a pair of half central charges and topological numbers -- is stabilized by strong interactions against disorder which respects the inversion symmetry between the wires (ie. parity conservation on each wire). In the presence of an inter-wire hopping term, the DCI phase turns into a protected topological phase with a bulk gap. We study the localization physics developing along the critical line for weaker interactions.

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