Revisiting the Floquet-Bloch theory for an exactly solvable model of one-dimensional crystals in strong laser fields

Abstract

We revisit the Floquet-Bloch eigenstates of a one-dimensional electron gas in the presence of the periodic Kronig-Penny potential and an oscillating electric field. Considering the appropriate boundary conditions for the wave function and its derivative, we derive the determining equations for the Floquet-Bloch eigenstates, which are represented by a single-infinite matrix rather than a double-infinite matrix needed for a generic potential. We numerically solve these equations, showing that there appear anticrossings at the crossing points of the different Floquet bands as well as the band gaps at the edges and the center of the Brillouin zone. We also calculate the high-harmonic components of the electric current carried by the Floquet-Bloch eigenstates, showing that the harmonic spectrum shows a plateau for a strong electric field.

9 pages, 4 figures

References in corpus (10)

• Sub-cycle control of terahertz high-harmonic generation by dynamical Bloch oscillations
• Real-time observation of interfering crystal electrons in high-harmonic generation
• High harmonic generation from Bloch electrons in solids
• Strong-Field Perspective on High-Harmonic Radiation from Bulk Solids
• The Effect of Multiple Conduction Bands on High Harmonic Emission from Dielectrics
• Trajectory analysis of high-harmonic generation from periodic crystals
• Multi-level perspective on high-order harmonic generation in solids
• Mechanism of High-Order Harmonic Generation from Periodic Potentials
• Quantum beats in the polarization response of a dielectric to intense few-cycle laser pulses
• Nonadiabatic high-order harmonic generation from solids

Cited by in corpus (4)

• High-harmonic generation by electric polarization, spin current, and magnetization
• Floquet-Theoretical Formulation and Analysis of High-Harmonic Generation in Solids
• Disorder Effects on the Origin of High-Order Harmonic Generation in Solids
• Floquet theory and computational method for the optical absorption of laser-dressed solids