Theory of wavepacket transport under narrow gaps and spatial textures: non-adiabaticity and semiclassicality

Abstract

We generalise the celebrated semiclassical wavepacket approach from the adiabatic to the non-adiabatic regime. A unified description covering both of these regimes is particularly desired for systems with spatially varying band structures where band gaps of various sizes are simultaneously present, e.g. in moiré patterns. For a single wavepacket, alternative to the previous derivation by Lagrangian variational approach, we show that the same semiclassical equations of motion can be obtained by introducing a spatial-texture-induced force operator similar to the Ehrenfest theorem. For semiclassically computing the current, the ensemble of wavepackets based on adiabatic dynamics is shown to well correspond to a phase-space fluid for which the fluid's mass and velocity are two distinguishable properties. This distinction is not inherited to the ensemble of wavepackets with the non-adiabatic dynamics. We extend the adiabatic kinetic theory to the non-adiabatic regime by taking into account decoherence, whose joint action with electric field favours certain form of inter-band coherence. The steady-state density matrix as a function of the phase-space variables is then phenomenologically obtained for calculating the transport current. The result, applicable with a finite electric field, expectedly reproduces the known adiabatic limit by taking the electric field to be infinitesimal, and therefore attains a unified description from the adiabatic to the non-adiabatic situations.

arXiv comment16 pages, 1 figure

References in corpus (43)

• Berry Phase Effects on Electronic Properties
• Coupled spin and valley physics in monolayers of MoS2 and other group-VI dichalcogenides
• Anomalous Hall effect
• Moire bands in twisted double-layer graphene
• Valley contrasting physics in graphene: magnetic moment and topological transport
• Universal Intrinsic Spin-Hall Effect
• Dissipationless Quantum Spin Current at Room Temperature
• Massive Dirac fermions and Hofstadter butterfly in a van der Waals heterostructure
• Chiral Anomaly and Classical Negative Magnetoresistance of Weyl Metals
• Quantum nonlinear Hall effect induced by Berry curvature dipole in time-reversal invariant materials
• Intrinsic magnetic topological insulators in van der Waals layered MnBi${}_2$Te${}_4$-family materials
• Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects
• Anomalous Hall effect in ferromagnetic semiconductors
• Commensurate-incommensurate transition for graphene on hexagonal boron nitride
• Topological axion states in magnetic insulator MnBi${}_2$Te${}_4$ with the quantized magnetoelectric effect
• Robust axion insulator and Chern insulator phases in a two-dimensional antiferromagnetic topological insulator
• Berry phase, hyperorbits, and the Hofstadter spectrum: semiclassical dynamics in magnetic Bloch bands
• Berry phase correction to electron density of states in solids
• Berry phase, hyperorbits, and the Hofstadter spectrum
• Confinement-induced Berry phase and helicity-dependent photocurrents
• Thermoelectric Response of an Interacting Two-Dimensional Electron Gas in Quantizing Magnetic Field
• Zero Energy Modes and Gate-Tunable Gap in Graphene on hexagonal Boron Nitride
• Magnetically Controllable Topological Quantum Phase Transitions in Antiferromagnetic Topological Insulator MnBi${}_2$Te${}_4$
• Real-Space Berry Phases - Skyrmion Soccer
• Effective dynamics for Bloch electrons: Peierls substitution and beyond
• Coherent wave-packet evolution in coupled bands
• Theory of nonlinear Hall effects: renewed semiclassics from quantum kinetics
• Quantum-Confined Electronic States arising from Moiré Pattern of MoS2-WSe2 Hetero-bilayers
• Disorder effects in the AHE induced by Berry curvature
• Inter-band Coherence Response to Electric Fields in Crystals
• Semi-classical wave packet dynamics in non-uniform electric fields
• Topological spin transport of relativistic electron
• Moire superlattice effects in graphene/boron-nitride van der Waals heterostructures
• Noncommutative geometry and nonabelian Berry phase in the wave-packet dynamics of Bloch electrons
• Semiclassical Dynamics of Electrons in Magnetic Bloch Bands: a Hamiltonian Approach
• Gradient expansion approach to multiple-band Fermi liquids
• Unified bulk semiclassical theory for intrinsic thermal transport and magnetization currents
• Nonequilibrium Approach to Bloch-Peierls-Berry Dynamics
• Spin dynamics with non-abelian Berry gauge fields as a semiclassical constrained hamiltonian system
• Non-Abelian properties of electron wave packets in Dirac semimetals A${}_3$Bi (A=Na,K,Rb)
• Diffusive real-time dynamics of a particle with Berry curvatures
• Non-adiabatic Hall effect at Berry curvature hot spot
• Derivation of Semiclassical Kinetic Theory in the Presence of Non-Abelian Berry Curvature

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