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Global Phase Diagram of a Three-Dimensional Dirty Topological Superconductor

TitleGlobal Phase Diagram of a Three-Dimensional Dirty Topological Superconductor
Publication TypeJournal Article
Year of Publication2017
AuthorsB. Roy, Y. Alavirad, and J. D. Sau
Date PublishedJUN 1
Type of ArticleArticle

We investigate the phase diagram of a three-dimensional, time-reversal symmetric topological superconductor in the presence of charge impurities and random s-wave pairing. Combining complimentary field theoretic and numerical methods, we show that the quantum phase transition between two topologically distinct paired states (or thermal insulators), described by thermal Dirac semimetal, remains unaffected in the presence of sufficiently weak generic randomness. At stronger disorder, however, these two phases are separated by an intervening thermal metallic phase of diffusive Majorana fermions. We show that across the insulator-insulator and metal-insulator transitions, normalized thermal conductance displays single parameter scaling, allowing us to numerically extract the critical exponents across them. The pertinence of our study in strong spin-orbit coupled, three-dimensional doped narrow gap semiconductors, such as CuxBi2Se3, is discussed.}, %%Address = {ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA