Topological Sliding Moiré Heterostructure

Abstract

We investigate the effect of sliding motion of layers in Moiré heterostructures on the electronic state. We show that the sliding Moiré heterostructure can generate nontrivial topology characterized by the first and second Chern number in the high dimensional manifold spanned by the physical dimensions and synthetic dimensions associated with the sliding displacement. The nontrivial topology implies a topological charge pumping caused by the sliding motion. We demonstrate the nontrivial topology and charge pumping explicitly in a one dimensional bi-chain model and the small-angle twisted bilayer graphene. Contrary to the conventional belief that the interlayer sliding in incommensurate Moiré Heterostructures does not affect the electronic structure, our results reveal that the sliding motion can generate nontrivial topology dynamically and hence cannot be neglected in the dynamical process.

5.2 pages and 4 figures

References in corpus (6)

• Quantum Spin Hall Effect and Topologically Invariant Chern Numbers
• Continuum Model of the Twisted Bilayer
• Photonic topological pumping through the edges of a dynamical four-dimensional quantum Hall system
• Exploring 4D Quantum Hall Physics with a 2D Topological Charge Pump
• Topological charge pumping in twisted bilayer graphene
• Topological charge pumping by sliding moiré pattern

Cited by in corpus (2)

• Topological charge pumping in twisted bilayer graphene
• Topological charge pumping by sliding moiré pattern