Quantum Metric-induced Oscillations in Flat Bands
arXiv:2406.13324 · doi:10.1103/PhysRevB.111.L121102
Abstract
The transport of Bloch electrons under strong fields is traditionally understood through two mechanisms: intraband Bloch oscillations and interband Zener tunneling. Here, we propose an oscillation mechanism induced by the interband quantum metric, which would significantly affect the electron dynamics under strong fields. By considering the multiband dynamics to the second order of the density matrix, we reveal that quantum metric induced oscillations (QMOs) persist regardless of band dispersion, even in exactly dispersionless flat bands. The resultant drift current can reach a magnitude comparable to the Bloch oscillation induced drift current in systems where interband tunneling is negligible. Notably, the QMO induced drift current increases linearly with electric field strength under the constraints of time-reversal or spatial-inversion symmetry, emerging as the primary delocalized current. We further show that both one-dimensional and two-dimensional superlattices are potential platforms for investigating QMO.
References in corpus (30)
- Signatures of Fractional Quantum Anomalous Hall States in Twisted MoTe2 Bilayer
- Observation of Fractionally Quantized Anomalous Hall Effect
- Integer and fractional Chern insulators in twisted bilayer MoTe2
- Topological kagome magnets and superconductors
- Observation of integer and fractional quantum anomalous Hall effects in twisted bilayer MoTe2
- Nonlinear Hall Effects
- Quantum metric nonlinear Hall effect in a topological antiferromagnetic heterostructure
- Quantum metric-induced nonlinear transport in a topological antiferromagnet
- Intrinsic nonlinear Hall effect in antiferromagnetic tetragonal CuMnAs
- Out of equilibrium electrons and the Hall conductance of a Floquet topological insulator
- Intrinsic Second-Order Anomalous Hall Effect and Its Application in Compensated Antiferromagnets
- -Valley Transition-Metal-Dichalcogenide Moirè Bands
- Quantum states and intertwining phases in kagome materials
- Dissipative Floquet Topological Systems
- Essay: Where Can Quantum Geometry Lead Us?
- Experimental Measurement of the Quantum Metric Tensor and Related Topological Phase Transition with a Superconducting Qubit
- Unification of Nonlinear Anomalous Hall Effect and Nonreciprocal Magnetoresistance in Metals by the Quantum Geometry
- Berry Curvature and Quantum Metric in -band systems -- an Eigenprojector Approach
- Intrinsic Nonlinear Hall Detection of the Néel Vector for Two-Dimensional Antiferromagnetic Spintronics
- Anomalous skew-scattering nonlinear Hall effect and chiral photocurrents in {\it PT}-symmetric antiferromagnets
- Extracting the Quantum Geometric Tensor of an Optical Raman Lattice by Bloch State Tomography
- Floquet systems coupled to particle reservoirs
- Synchronizing Bloch-oscillating free carriers in moiré flat bands
- Quantum optics measurement scheme for quantum geometry and topological invariants
- Bloch oscillations in the magnetoconductance of twisted bilayer graphene
- Quantum Geometric Oscillations in Two-Dimensional Flat-Band Solids
- Current response of nonequilibrium steady states in Landau-Zener problem: Nonequilibrium Green's function approach
- Berry Curvature Spectroscopy from Bloch Oscillations
- Nonadiabatic wavepacket dynamics: k-space formulation
- Irregular Bloch Zener oscillations in two-dimensional flat-band Dirac materials