Dimensional reduction from magnetic field in moiré superlattices

Abstract

Moiré materials provide a highly tunable platform in which novel electronic phenomena can emerge. We study strained moiré materials in a uniform magnetic field and predict highly anisotropic electrical conductivity which switches easy-axis as magnetic field or strain is varied. The dramatic anisotropy reflects one-dimensional localization (dimensional reduction) of the electron wavefunctions along a crystal axis due to quantum interference effects. This can be understood in an effective one-dimensional quasiperiodic Aubry-André-like models, or in a complementary semiclassical picture. This phenomenon should be observable in strained moiré materials at realistic fields and low strain disorder, as well as unstrained systems with anisotropic Fermi surfaces.

6+6 pages, 4 figures

References in corpus (2)

• Tunable Phase Boundaries and Ultra-Strong Coupling Superconductivity in Mirror Symmetric Magic-Angle Trilayer Graphene
• Twist versus heterostrain control of optical properties of moiré exciton minibands

Cited by in corpus (2)

• Level spacing distribution of localized phases induced by quasiperiodic potentials
• Anomalous universal quantum transport in 2D asymptotic quasiperiodic system