Designing (higher) Hall crystals

Abstract

We introduce a novel platform for realizing interaction-induced Hall crystals with diverse Chern numbers $C$. This platform consists of a two-dimensional semiconductor or graphene subjected to an out-of-plane magnetic field and a one-dimensional modulation, which can be realized by moiré or dielectric engineering. We show that interactions drive the system to spontaneously break the residual translational symmetry, resulting in Hall crystals with various $C$ (including $|C|>1$). Remarkably, these phases persist across continuous ranges of filling and magnetic field, and the global phase diagram can be understood in a unified manner.

7+7 pages

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Cited by in corpus (2)

• Topological Order Without Band Topology in Moiré Graphene
• Magnetic Bloch bands and Weiss oscillations in Dirac mass superlattices