Giant Shubnikov-de Haas Oscillations with V-Shaped Minima in a High-Mobility Two-Dimensional Electron Gas: Experiment and Phenomenological Model

TL;DR

This paper reports the observation of giant Shubnikov-de Haas oscillations with V-shaped minima in a high-mobility 2D electron gas, and introduces a phenomenological model that accurately describes these oscillations across various magnetic fields and temperatures.

Contribution

The paper presents a new phenomenological model that captures the behavior of giant SdHO with V-shaped minima, incorporating Landau level broadening and Fermi level oscillations, extending understanding of magnetoresistance in high-mobility 2DEGs.

Findings

Model accurately fits experimental data over wide magnetic field and temperature ranges.

V-shaped minima with zero-resistance points are reproduced by the model.

Temperature dependence shows $ au_{tr}$ scales inversely with temperature, $ au_q$ remains constant.

Abstract

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 $\tau_{\text{tr}}$ and quantum scattering time $\tau_q$) 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 $\tau_q$ and $\tau_{\text{tr}}$ even in microstructures where ballistic and viscous effects dominate at low fields. As expected, the temperature dependence reveals that $\tau_{\text{tr}}$ scales inversely with temperature due to acoustic phonon scattering, while $\tau_q$ remains temperature-independent.