Two-particle Berry phase mechanism for Dirac and Majorana Kramers pairs of corner modes

Abstract

We uncover a novel two-particle Berry phase mechanism to realize exotic corner modes in second-order topological insulators (TIs) and topological superconductors (TSCs) with time-reversal symmetry. We show that the nontrivial pseudospin textures of edge states in two different types of two-dimensional TIs give rise to the novel two-particle geometric phases in the particle-hole and particle-particle channels, respectively, for which the edge mass domain walls or intrinsic $\pi$-junctions emerge across corners when an external magnetic field or $s$-wave superconductivity is considered, hosting Dirac or Majorana corner modes. Remarkably, with this mechanism we predict the Majorana Kramers pair of corner modes by directly coupling the edge of a type-II time-reversal invariant TI to a uniform $s$-wave SC, in sharp contrast to the previous proposals which rely on unconventional SC pairing or complex setting for fine-tuned SC $\pi$-junction. We find Au/GaAs(111) to be a realistic material candidate for realizing such Majorana Kramers pair of corner modes.

5 pages, 3 figures, plus Supplementary Material (11 pages). To appear in Phys. Rev. B (Letter)

References in corpus (14)

• Quantum Spin Hall Effect and Topological Field Effect Transistor in Two-Dimensional Transition Metal Dichalcogenides
• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• $(d-2)$-dimensional edge states of rotation symmetry protected topological states
• Reflection symmetric second-order topological insulators and superconductors
• Large-Gap Quantum Spin Hall Insulator in single layer bismuth monobromide Bi${}_4$Br${}_4$
• Engineering Corner States from Two-Dimensional Topological Insulators
• Universal Approach to Magnetic Second-Order Topological Insulator
• Higher-order topological superconductors in $\mathcal{P}$-, $\mathcal{T}$-odd quadrupolar Dirac materials
• Higher-order topology in monolayer graphene
• Kramers pairs of Majorana corner states in a topological insulator bilayer
• Local Adiabatic Mixing of Kramers Pairs of Majorana Bound States
• Atomic line defects and topological superconductivity in unconventional superconductors
• Survival of the fractional Josephson effect in time-reversal-invariant topological superconductors
• Unitary Symmetry-Protected Non-Abelian Statistics of Majorana Modes

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