Berry Curvature Spectroscopy from Bloch Oscillations

Abstract

Artificial crystals such as moiré superlattices can have a real-space periodicity much larger than the underlying atomic scale. This facilitates the presence of Bloch oscillations in the presence of a static electric field. We demonstrate that the optical response of such a system, when dressed with a static field, becomes resonant at the frequencies of Bloch oscillations, which are in the terahertz regime when the lattice constant is of the order of 10 nm. In particular, we show within a semiclassical band-projected theory that resonances in the dressed Hall conductivity are proportional to the lattice Fourier components of the Berry curvature. We illustrate our results with a low-energy model on an effective honeycomb lattice.

6 + 4 pages, 3 figures. Published version

References in corpus (4)

• Flatbands in twisted double bilayer graphene
• Band structure and topological property of twisted double bilayer graphenes
• Evidence of Flat Bands and Correlated States in Buckled Graphene Superlattices
• Roses in the Nonperturbative Current Response of Artificial Crystals

Cited by in corpus (7)

• Equivalence of semiclassical and response theories for second-order nonlinear ac Hall effects
• Floquet-Bloch Theory for Nonperturbative Response to a Static Drive
• Quantum Metric-induced Oscillations in Flat Bands
• Universal intrinsic orbital dynamics from Berry curvature in electronic two-band systems
• Optical Absorption and Emission from Wannier-Stark Spectra of Moiré Superlattices
• Spin-polarized scanning tunneling microscopy measurement scheme for determining the quantum geometric tensor
• Probing the Quantum Geometry of Correlated Metals using Optical Conductivity