A vortex in a superconducting topological insulator with 3-fold or 6-fold rotational symmetry can bind a Majorana zero mode whose wave function is a ring around the vortex core.
Symmetry-protected cubic-touching topological surface bands with tunable singularities
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abstract
We propose a class of topological surface bands in three-dimensional topological crystalline insulators that have symmetry-protected cubic-order band touching. Within the symmetry constraint, the band dispersion can continuously vary between cubic dispersion, moat band and multi-mini-valley structure with van Hove singularities by adjusting particle-hole asymmetry and anisotropy. Thus, there is a family of tunable density-of-state singularities ranging from power-law to logarithmic divergences. This offrs a versatile platform for engineering strongly correlated phases of matter in topological surface states. We provide an example realization in a prism-lattice tight-binding model of angular-momentum-3/2 electrons.
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Annular Majorana mode in a superconducting topological insulator
A vortex in a superconducting topological insulator with 3-fold or 6-fold rotational symmetry can bind a Majorana zero mode whose wave function is a ring around the vortex core.