Chiral Superconductivity in Thin Films of doped Bi${}_2$Se${}_3$

Abstract

Recent experimental evidences point to rotation symmetry breaking superconductivity in doped Bi${}_2$Se${}_3$, where the relevant order parameter belongs to a two-component odd-parity representation $E_u$ of the crystal point group. The $E_u$ channel admits two possible phases, the chiral phase, that breaks time-reversal symmetry, and nematic phase, that well explains the reported rotation symmetry breaking. In weakly anisotropic three-dimensional systems the nematic phase is the stable one. We study the stability of the nematic phase versus the chiral phase as a function of the anisotropy of the system and the thickness of the sample and show that in the strongly anisotropic case or in thin slabs the chiral phases is favoured. For the extreme 2D limit composed by a single layer of Bi${}_2$Se${}_3$ the system hosts two chiral Majorana modes flowing at the boundary of the system.

6 pages, 3 figures

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• Antichiral and nematicity-wave superconductivity
• The effect of interorbital scattering on superconductivity in doped Dirac materials
• Nematic superconductivity in topological insulators induced by hexagonal warping
• Magnetic response of nematic superconductors: skyrmion stripes and their signatures in muon spin relaxation experiments
• Symmetries, Length Scales, Magnetic Response and Skyrmion Chains in Nematic Superconductors
• Spontaneous strain and magnetization in doped topological insulators with nematic and chiral superconductivity
• The absence of Ginzburg-Landau mechanism for vestigial order in the normal phase above a two-component superconductor
• Pauli paramagnetism of triplet Cooper pairs in a nematic superconductor
• Intrinsic chiral topological superconductor thin films
• Surface chiral superconductivity in odd-parity nematic superconductors with magnetic impurities
• Anomalous Josephson Hall effect in doped topological insulators with the nematic superconductivity