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Updated: Sep 11, 2025
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Hydrodynamics of the electronic Fermi liquid: a pedagogical overview
Aaron Hui1,2, Brian Skinner1
1Department of Physics, Ohio State University, Columbus, OH 43202, United States of America.
Summary
Electron transport is shifting from the Drude model to hydrodynamic flow in advanced materials. This review covers recent progress in understanding this fluid-like electron behavior, focusing on the hydrodynamic Fermi liquid.
Area of Science:
- Condensed matter physics
- Quantum mechanics
Background:
- The Drude model has long described electron transport via collisions with impurities.
- Recent experiments show a new regime: hydrodynamic flow in ultra-pure materials.
- Hydrodynamic flow involves frequent electron-electron collisions, leading to collective behavior.
Purpose of the Study:
- To review recent theoretical and experimental advancements in electron hydrodynamics.
- To highlight the shift from traditional transport models to fluid-like electron behavior.
- To use the hydrodynamic Fermi liquid as a key example.
Main Methods:
- Review of theoretical frameworks for electron hydrodynamics.
- Analysis of experimental findings in ultra-high quality electronic materials.
- Focus on collective charge transport phenomena.
Main Results:
- Experimental realization of hydrodynamic electron flow is increasingly common.
- Hydrodynamic behavior deviates significantly from Drude transport predictions.
- The Fermi liquid model provides a framework for understanding these effects.
Conclusions:
- Hydrodynamic electron flow represents a fundamental shift in understanding charge transport.
- Recent experimental and theoretical work has revitalized the field of electron hydrodynamics.
- Further research is needed to fully explore the implications of this phenomenon.
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