Doping effects in high-harmonic generation from correlated systems

Abstract

Using the one-dimensional Hubbard model, which is commonly used for describing, e.g., high-$T_c$ superconducting cuprates, we study high-harmonic generation (HHG) from doped, correlated materials. Doping is modeled by changing the number of electrons in the lattice from the conventional half-filling case. For relatively small Hubbard $U$, i.e., small electron-electron correlation, we find little to no effect of doping on the dynamics and the HHG spectra. For increasing $U$ the degree of doping has a marked effect on the dynamics and spectra. We explain these findings through the quasiparticle-based doublon-holon picture. The dynamics are separated into two types, firstly doublon and holon movement, and, secondly, doublon-holon pair creation and annihilation. Doping results in all configurations containing doublons or holons. Those quasiparticles can move at no extra cost in energy regardless of the correlation level. This motion at no energy cost increases the high-harmonic gain for low and medium harmonic orders. We discuss that in the high-$U$ limit, antiferromagnetic ordering becomes increasingly unlikely with increasing doping rates and explain an associated drop in the high-order harmonics relative to the case of half filling.

11 pages incl. bibliography and 7 figures

References in corpus (9)

• Impact of the electronic band structure in high-harmonic generation spectra of solids
• Anomalously Strong Near-Neighbor Attraction in Doped 1D Cuprate Chains
• High-order harmonic generation in solid slabs beyond the single active electron
• Anomalous temperature dependence of high-harmonic generation in Mott insulators
• Control of high-harmonic generation by tuning the electronic structure and carrier injection
• Correlation effects in high-harmonic generation from finite systems
• Excitonic effects on high-harmonic generation in Mott insulators
• Optical Distinguishability of Mott Insulators in Time vs Frequency Domain
• Propagation time and nondipole contributions to intraband high-harmonic generation

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• High harmonic generation from electrons moving in topological spin textures
• Many-body effects on high-harmonic generation in Hubbard ladders
• Efficient Control of High Harmonic Generation in Carbon Nanotubes using the Aharonov-Bohm Effect
• High-Order Harmonic Generation with Beyond-Semiclassical Emitter Dynamics: A Strong-Field Quantum Optical Heisenberg Picture Approach
• High Harmonic Tracking of Ultrafast Electron Dynamics across the Mott to Charge Density Wave Phase Transition
• Probing quasiparticle excitations in a doped Mott insulator via Friedel oscillations
• Tracking doublon-holon dynamics in high-harmonic generation from Mott insulators