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      Moir\'e surface states and "high-temperature" superconductivity in topological insulators

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          Abstract

          Recently, moir\'e superlattices have been found on the surface of topological insulators (TI) due to the rotational misalignment of topmost layers. In this work, we study the effects of moir\'e superlattices on the topological surface states. We introduce a continuum model of Dirac electrons moving in the periodic potential to describe the moir\'e surface states and identify various (high-order) van Hove singularities (VHS), which explains the experimentally observed peaks in the density of states (DOS). We show that the power-law divergent DOS at high-order VHS significantly enhances electron-phonon superconductivity. By solving the gap equation, we derive an analytic formula for the transition temperature Tc, which exhibits a power-law dependence on the retarded electron-phonon interaction strength λ.

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          Author and article information

          Journal
          19 October 2020
          Article
          2010.09753
          bf28dd00-37de-470e-87fc-0a1a74aa7824

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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          Custom metadata
          8 pages, 7 figures
          cond-mat.supr-con cond-mat.mtrl-sci

          Condensed matter
          Condensed matter

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