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Testing the Tomographic Fermi Liquid Hypothesis with High-Order Cyclotron Resonance.

Ilia Moiseenko¹, Erwin Mönch², Kirill Kapralov¹

¹Moscow Institute of Physics and Technology, 1, Laboratory of 2d Materials for Optoelectonics, Dolgoprudny 141700, Russia.

Physical Review Letters

|June 23, 2025

Summary

The tomographic Fermi liquid (TFL) hypothesis predicts different electron relaxation times for odd and even harmonics. High-order cyclotron resonance in graphene confirms TFL, showing odd harmonics relax slower than even ones.

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Area of Science:

Condensed matter physics
Quantum materials
Electron hydrodynamics

Background:

The tomographic Fermi liquid (TFL) hypothesis suggests distinct relaxation dynamics for odd and even angular harmonics of the electron distribution function in 2D systems.
Experimental validation of TFL has been challenging due to limitations of traditional transport measurements.

Purpose of the Study:

To experimentally verify the tomographic Fermi liquid (TFL) hypothesis.
To establish high-order cyclotron resonance (CR) as a method for probing electron relaxation dynamics.

Main Methods:

Theoretical modeling of electron relaxation in 2D systems.
Terahertz photoconductivity measurements in graphene.
Analysis of linewidths in high-order cyclotron resonance spectra.

Main Results:

The linewidth of the mth cyclotron resonance (CR) peak was found to directly correlate with the relaxation rate of the corresponding angular harmonic (γm = 1/τm).
Measurements in graphene revealed that the third-order CR peak has a narrower linewidth than the second-order CR peak (τ3 > τ2).
This observed hierarchy of relaxation times supports the TFL predictions.

Conclusions:

High-order cyclotron resonance provides a direct experimental probe for electron relaxation times of different angular harmonics.
The findings provide definitive evidence for the tomographic Fermi liquid regime in graphene.
This work establishes high-order CR as a valuable technique for studying hydrodynamic transport in quantum materials.