High-harmonic generation from Bloch electrons in solids
By Mengxi Wu, S. Ghimire, D. Reis, K. Schafer, M. Gaarde. 2015
280 citations recorded by the source corpus.
We study the generation of high-harmonic radiation by Bloch electrons in a model transparent solid driven by a strong midinfrared laser field. We solve the single-electron time-dependent Schr\"odinger equation (TDSE) using a velocity-gauge method [M. Korbman et al., New J. Phys. 15, 013006 (2013)] that is numerically stable as the laser intensity and number of energy bands are increased. The resulting harmonic spectrum exhibits a primary plateau due to the coupling of the valence band to the first conduction band, with a cutoff energy that scales linearly with field strength and laser wavelength. We also find a weaker second plateau due to coupling to higher-lying conduction bands, with a cutoff that is also approximately linear in the field strength. To facilitate the analysis of the time-frequency characteristics of the emitted harmonics, we also solve the TDSE in a time-dependent basis set, the Houston states [J. B. Krieger and G. J. Iafrate, Phys. Rev. B 33, 5494 (1986)], which allows us to separate interband and intraband contributions to the time-dependent current. We find that the interband and intraband contributions display very different time-frequency characteristics. We show that solutions in these two bases are equivalent under a unitary transformation but that, unlike the velocity-gauge method, the Houston state treatment is numerically unstable when more than a few low-lying energy bands are used.
Subfields: Atomic and Molecular Physics, and Optics, Electrical and Electronic Engineering
View Paper: https://www.semanticscholar.org/paper/d6a4bf793997e57d5362edd5cfbfe4d3e0052901
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In Atomic and Molecular Physics, and Optics
In Electrical and Electronic Engineering
Citations in the corpus
- Colloquium: Strong-field phenomena in periodic systems (2017, methodology): “Currently, modeling of ultrafast phenomena is based on the numerical solution of the TDSE (Bachau et al., 2006; Korbman et al., 2013; Wu et al., 2015), density-matrix method (Haug and Koch, 2009; Lindberg and Koch, 1988) and time-dependent Kohn–Sham equations (Andrade et al., 2015; Otobe et al.,…”