Correlation effects in high-harmonic generation from finite systems

Abstract

Using the Hubbard model we study how the process of high-order harmonic generation (HHG) is modified by beyond mean-field electron-electron correlation for both finite and bulk systems. A finite-size enhancement of the HHG signal is found and attributed to electrons backscattering off the lattice edges. Additionally, with increasing strength of the electron-electron correlation an enhancement of the high-frequency regime of the HHG spectrum is found. This is attributed to the on-site Coulomb repulsion between electrons giving rise to a localized quiver motion of the electrons. The finite-lattice enhancement dominates the HHG spectra from a few harmonic orders until a threshold from which the correlational enhancement dominates. This threshold is determined by the degree of correlation and decreases into the low-frequency regime for increasing electron-electron correlation. This infers that as the Mott insulator limit of high electron-electron correlation is approached, the finite-size effect on the electron dynamics becomes negligible.

9 pages, 6 figures

References in corpus (6)

• Impact of the electronic band structure in high-harmonic generation spectra of solids
• High-order harmonic generation in solid slabs beyond the single active electron
• High-harmonic generation in quantum spin systems
• Gauge invariance of light-matter interactions in first-principle tight-binding models
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