Published June 17, 2026 | Version v1
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Optical Shubnikov–de Haas oscillations in two-dimensional electron systems

Description

These are the data to the paper:

M. L. Savchenko, J. Gospodarič, A. Shuvaev, I. A. Dmitriev, V. Dziom, A. A. Dobretsova, N. N. Mikhailov, Z. D. Kvon, and A. Pimenov
„Optical Shubnikov–de Haas oscillations in two-dimensional electron systems“
Phys. Rev. Research 6, L022027 (2024). https://doi.org/10.1103/PhysRevResearch.6.L022027

File format: "OriginPro" (OriginLab Corporation)

The file: "Transmission_Field.opju" contains the magnetic field dependence of the transmittance measured at 950 GHz and with different gate voltages corresponding to different Fermi level positions. Also given is the gate voltage dependence of the cyclotron effective mass which corresponds to the linear electron spectrum in the HgTe quantum well with critical thickness. Transmittance oscillations measured at 1019 GHz and atVg = 9V together with SdH oscillations of capacitance, are obtained subtracting the smooth part of the transmittance |t |^2. The theory curve is calculated using Eqs. (1) and (3) of the main text. The phase of dynamic SdH oscillations is flipped across the node.

The file "Nodes_in_Transmission.opju" showsthe imaginary vs real parts of the transmission amplitude t . The tunable nodes arise when t and its small correction δt are perpendicular to each other on the complex plane. Also shown are the magnetic field dependences of sin(πω/ωc ) (universal nodes) and of calculated transmittance SdH oscillations; and the graphical solution of Eq. (4) of the main paper determining the tunable nodes in transmittance.

The file "Phase_SdH.opju" contains the magnetic field dependences of the amplitude of the parallel transmittance |t_p| and its phase ϕ, respectively, measured at 360 GHz. Oscillations of the parallel transmittance amplitude and its phase are given in 1/B scale, the smooth parts in |t_p|^2 and ϕ were subtracted. Black thick lines are experimental data, red thin lines are fits based on Eqs. (1) and (3) of the main paper.

Abstract

We report on dynamic Shubnikov–de Haas (SdH) oscillations that are measured in the optical response, subterahertz transmittance of two-dimensional systems, and reveal two distinct types of oscillation nodes: “universal” nodes at integer ratios of radiation and cyclotron frequencies and “tunable” nodes at positions sensitive to all parameters of the structure. The nodes in both real and imaginary parts of the measured complex transmittance are analyzed using a dynamic version of the static Lifshitz-Kosevich formula. These results demonstrate that the node structure of the dynamic SdH oscillations provides an all-optical access to quantization- and interaction-induced renormalization effects, in addition to parameters one can obtain from the static SdH oscillations.

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Additional details

Related works

Is supplement to
Dataset: 10.1103/PhysRevResearch.6.L022027 (DOI)

Funding

FWF Austrian Science Fund
New magnetoelectricity based on local and global symmetries I 5539-N