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Main Authors: Zhdanov, E. Yu., Budantsev, M. V., Sarypov, D. I., Pokhabov, D. A., Bakarov, A. K., Pogosov, A. G.
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2601.12953
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author Zhdanov, E. Yu.
Budantsev, M. V.
Sarypov, D. I.
Pokhabov, D. A.
Bakarov, A. K.
Pogosov, A. G.
author_facet Zhdanov, E. Yu.
Budantsev, M. V.
Sarypov, D. I.
Pokhabov, D. A.
Bakarov, A. K.
Pogosov, A. G.
contents Giant Shubnikov-de Haas oscillations (SdHO) with V-shaped minima are experimentally studied in a high-mobility two-dimensional electron gas based on GaAs/AlGaAs heterostructures. A phenomenological model with two parameters (transport momentum relaxation time $τ_{\text{tr}}$ and quantum scattering time $τ_q$) is developed, accurately describing experimentally measured magnetoresistance over an unexpectedly wide range of magnetic fields (up to 3.5 T) and temperatures (from 2 K to 15 K). The model combines: (i) a quasiclassical density of states with a magnetic-field-dependent Gaussian broadening of Landau levels, (ii) a momentum relaxation time scaling with the density of states, and (iii) oscillations of the Fermi level at a fixed electron density. This model reproduces V-shaped oscillation minima with zero-resistance points, a smooth background of positive magnetoresistance, and enables the extraction of $τ_q$ and $τ_{\text{tr}}$ even in microstructures where ballistic and viscous effects dominate at low fields. As expected, the temperature dependence reveals that $τ_{\text{tr}}$ scales inversely with temperature due to acoustic phonon scattering, while $τ_q$ remains temperature-independent.
format Preprint
id arxiv_https___arxiv_org_abs_2601_12953
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Giant Shubnikov-de Haas Oscillations with V-Shaped Minima in a High-Mobility Two-Dimensional Electron Gas: Experiment and Phenomenological Model
Zhdanov, E. Yu.
Budantsev, M. V.
Sarypov, D. I.
Pokhabov, D. A.
Bakarov, A. K.
Pogosov, A. G.
Mesoscale and Nanoscale Physics
Giant Shubnikov-de Haas oscillations (SdHO) with V-shaped minima are experimentally studied in a high-mobility two-dimensional electron gas based on GaAs/AlGaAs heterostructures. A phenomenological model with two parameters (transport momentum relaxation time $τ_{\text{tr}}$ and quantum scattering time $τ_q$) is developed, accurately describing experimentally measured magnetoresistance over an unexpectedly wide range of magnetic fields (up to 3.5 T) and temperatures (from 2 K to 15 K). The model combines: (i) a quasiclassical density of states with a magnetic-field-dependent Gaussian broadening of Landau levels, (ii) a momentum relaxation time scaling with the density of states, and (iii) oscillations of the Fermi level at a fixed electron density. This model reproduces V-shaped oscillation minima with zero-resistance points, a smooth background of positive magnetoresistance, and enables the extraction of $τ_q$ and $τ_{\text{tr}}$ even in microstructures where ballistic and viscous effects dominate at low fields. As expected, the temperature dependence reveals that $τ_{\text{tr}}$ scales inversely with temperature due to acoustic phonon scattering, while $τ_q$ remains temperature-independent.
title Giant Shubnikov-de Haas Oscillations with V-Shaped Minima in a High-Mobility Two-Dimensional Electron Gas: Experiment and Phenomenological Model
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2601.12953