Unified approach to cyclotron and plasmon resonances in a periodic 2DEG hosting the Hofstadter butterfly

Abstract

We present theoretical calculations for the cyclotron resonance and various magnetoplasmon modes of a Coulomb interacting two-dimensional GaAs electron gas (2DEG) modulated as a lateral superlattice of quantum dots subjected to an external perpendicular constant magnetic field. We use a real-time excitation approach based on the Liouville-von Neumann equation for the density operator, that can go beyond linear response delivering information of all longitudinal and transverse collective modes of interest to the same order. We perform an extensive analysis of the coexisting collective modes due to the lateral confinement and the magnetic field for a different number of electrons in each dot. In the limit of vanishing dot modulation of the 2DEG we find signs of the structure of the Hofstadter butterfly in the excitation spectra.

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Cited by in corpus (5)

• Thermodynamic properties of an electron gas in a two-dimensional quantum dot: an approach using density of states
• Controlling the excitation spectrum of a quantum dot array with a photon cavity
• Magneto-optical properties of a quantum dot array interacting with a far-infrared photon mode of a cylindrical cavity
• The tuning of para- and diamagnetic cavity photon excitations in a square array of quantum dots in a magnetic field
• Signatures of broken symmetries in the excitations of a periodic 2DEG coupled to a cylindrical photon cavity