Unified approach to cyclotron and plasmon resonances in a periodic two-dimensional GaAs electron gas hosting the Hofstadter butterfly

Vidar Gudmundsson, Vram Mughnetsyan, Nzar Rauf Abdullah, Chi-Shung Tang, Valeriu Moldoveanu, and Andrei Manolescu

Phys. Rev. B 105, 155302 – Published 7 April 2022

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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Received 16 December 2021
Revised 21 March 2022
Accepted 29 March 2022

DOI:https://doi.org/10.1103/PhysRevB.105.155302

Physics Subject Headings (PhySH)

Plasmons

Quantum dots Two-dimensional electron system

Cyclotron resonance

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Vidar Gudmundsson ^1,*, Vram Mughnetsyan ^2,†, Nzar Rauf Abdullah ^3,4, Chi-Shung Tang ^5,‡, Valeriu Moldoveanu ^6,§, and Andrei Manolescu ^7,∥

¹Science Institute, University of Iceland, Dunhaga 3, IS-107 Reykjavik, Iceland
²Department of Solid State Physics, Yerevan State University, Alex Manoogian 1, 0025 Yerevan, Armenia
³Physics Department, College of Science, University of Sulaimani, Kurdistan Region, Iraq
⁴Computer Engineering Department, College of Engineering, Komar University of Science and Technology, Sulaimani 46001, Kurdistan Region, Iraq
⁵Department of Mechanical Engineering, National United University, Miaoli 36003, Taiwan
⁶National Institute of Materials Physics, PO Box MG-7, Bucharest-Magurele, Romania
⁷Department of Engineering, Reykjavik University, Menntavegur 1, IS-102 Reykjavik, Iceland

^*vidar@hi.is
^†vram@ysu.am
^‡cstang@nuu.edu.tw
^§valim@infim.ro
^∥manoles@ru.is

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Vol. 105, Iss. 15 — 15 April 2022

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