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Quantum Geometric Oscillations in Two-Dimensional Flat-Band Solids

Vo Tien PhongE. J. Mele
Dec 2022
摘要
Two-dimensional van der Waals heterostructures can be engineered intoartificial superlattices that host flat bands with significant Berry curvatureand provide a favorable environment for the emergence of novel electrondynamics. In particular, the Berry curvature can induce an oscillatingtrajectory of an electron wave packet transverse to an applied static electricfield. Though analogous to Bloch oscillations, this novel oscillatory behavioris driven entirely by quantum geometry in momentum space instead of banddispersion. While the orbits of Bloch oscillations can be localized byincreasing field strength, the size of the geometric orbits saturates to anonzero plateau in the strong-field limit. In non-magnetic materials, thegeometric oscillations are even under inversion of the applied field, whereasthe Bloch oscillations are odd, a property that can be used to distinguishthese two co-existing effects.
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