A moiré superlattice on the surface of a topological insulator

Abstract

Twisting van der Waals heterostructures to induce correlated many-body states provides a novel tuning mechanism in solid-state physics. In this work, we theoretically investigate the fate of the surface Dirac cone of a three-dimensional topological insulator subject to a superlattice potential. Using a combination of diagrammatic perturbation theory, lattice model simulations, and ab initio calculations we elucidate the unique aspects of twisting a single Dirac cone with an induced moiré potential and the role of the bulk topology on the reconstructed surface band structure. We report a dramatic renormalization of the surface Dirac cone velocity as well as demonstrate a topological obstruction to the formation of isolated minibands. Due to the topological nature of the bulk, surface band gaps cannot open; instead, additional satellite Dirac cones emerge, which can be highly anisotropic and made quite flat. We discuss the implications of our findings for future experiments.

arXiv comment27 pages, 12 figures

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Cited by in corpus (35)

• Topological and stacked flat bands in bilayer graphene with a superlattice potential
• Supermoiré low-energy effective theory of twisted trilayer graphene
• Magic angles and correlations in twisted nodal superconductors
• High-order Van Hove singularities and their connection to flat bands
• Multilayer graphene with a superlattice potential
• Symmetries as the guiding principle for flattening bands of Dirac fermions
• Higher vortexability: zero field realization of higher Landau levels
• Designer Meron Lattice on the Surface of a Topological Insulator
• Nearly flat Chern band in periodically strained monolayer and bilayer graphene
• Magic angle conditions for twisted 3D topological insulators
• Chiral model of twisted bilayer graphene realized in a monolayer
• Engineering the in-plane anomalous Hall effect in Cd${}_3$As${}_2$ thin films
• Designing topology and fractionalization in narrow gap semiconductor films via electrostatic engineering
• Magnetic skyrmion crystal at a topological insulator surface
• Magic continuum in twisted bilayer square lattice with staggered flux
• Magnetic moiré surface states and flat chern band in topological insulators
• ${\mathbb{Z}}_2$-Nontrivial Moiré Minibands and Interaction-Driven Quantum Anomalous Hall Insulators in Topological Insulator Based Moiré Heterostructures
• Efficient prediction of superlattice and anomalous miniband topology from quantum geometry
• Intrinsically-multilayer moiré heterostructures
• Flat bands with fragile topology through superlattice engineering on single-layer graphene
• Two-dimensional Dirac fermions in a mass superlattice
• Band manipulation and spin texture in interacting moiré helical edges
• Breakdown of bulk-projected isotropy in surface electronic states of topological Kondo insulator SmB${}_6$(001)
• The low energy excitation spectrum of magic-angle semimetals
• Moiré-modulated band gap and van Hove singularities in twisted bilayer germanene
• Artificial moiré engineering for an ideal BHZ model
• Electrically tunable high-Chern-number quasiflat bands in twisted antiferromagnetic topological insulators
• Tight-binding model with sublattice-asymmetric spin-orbit coupling for square-net nodal line Dirac semimetals
• Moiré superlattices of antimonene on a Bi(111) substrate with van Hove singularity and Rashba-type spin polarization
• Moiré surface states and enhanced superconductivity in topological insulators
• Topological invariant and domain connectivity in moiré materials
• Quantum Fractality on the Surface of Topological Insulators
• Pairing around a Single Dirac Point: A Unifying View of Kohn-Luttinger Superconductivity in Chern Bands, Quarter Metals, and Topological Surface States
• Fabrication and Characterization of the Moiré surface state on a topological insulator
• Efficient prediction of topological superlattice bands with spin-orbit coupling