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<p>A theory of high-frequency hydrodynamic flows of two-dimensional electrons in nanostructures with a low defect density and edges with various imperfections is developed. It is shown that a resonance in high-frequency viscosity coefficients leads to a dependence of the sample impedance on a magnetic field with a sharp singularity, the character of which depends on the edge type: complete adhesion of the fluid to the edges corresponds to a narrow high resonance, while increasing fluid slip near the edges leads to a strong broadening of the peak and a decrease in its amplitude, followed by its disappearance. Thus, the type of boundary conditions is an important factor determining the shape of high-frequency two-dimensional electron flows. Possible explanations within the developed model for the anomalous magnetophotoresistance observed in ultrapure graphene samples and GaAs quantum wells are discussed.</p>

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Viscoelastic Resonance in Two-Dimensional Electron Flows with Realistic Boundary Conditions at the Channel Edges

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  • 出版模式：

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  • 发表日期：

    2025年11月1日

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  • A. N. Afanasiev,
  • K. A. Baryshnikov,
  • A. V. Korotchenkov,
  • P. S. Alekseev

摘要

A theory of high-frequency hydrodynamic flows of two-dimensional electrons in nanostructures with a low defect density and edges with various imperfections is developed. It is shown that a resonance in high-frequency viscosity coefficients leads to a dependence of the sample impedance on a magnetic field with a sharp singularity, the character of which depends on the edge type: complete adhesion of the fluid to the edges corresponds to a narrow high resonance, while increasing fluid slip near the edges leads to a strong broadening of the peak and a decrease in its amplitude, followed by its disappearance. Thus, the type of boundary conditions is an important factor determining the shape of high-frequency two-dimensional electron flows. Possible explanations within the developed model for the anomalous magnetophotoresistance observed in ultrapure graphene samples and GaAs quantum wells are discussed.