Testing the tomographic Fermi liquid hypothesis with high-order cyclotron resonance

Abstract

Recent theoretical studies of carrier-carrier scattering in degenerate two-dimensional systems have revealed radically different relaxation times for odd and even angular harmonics of distribution function. This theoretical concept, dubbed as 'tomographic Fermi liquid', is yet challenging to test with dc electrical measurements as electron scattering weakly affects the electrical resistivity. Here, we show that linewidth and amplitude of electromagnetic absorption at the multiple harmonics of the cyclotron resonance carries all necessary information to test the tomographic Fermi liquid hypothesis. Namely, the height and inverse width of $m$-th order cyclotron resonance ($m\ge 2$) is proportional to the lifetime of $m$-th angular harmonic of electron distribution function ${\tau }_m$, if probed at wavelengths exceeding the cyclotron radius $R_c$. Measurements of high-order cyclotron resonance at short wavelengths order of $R_c$ also enable a direct determination of all lifetimes ${\tau }_m$ from a simple linear system of equations that we hereby derive. Extraction of cyclotron resonance lifetimes from an experiment on terahertz photoconductivity in graphene shows that third-order resonance is systematically narrower than second-order one, supporting the prediction of tomographic Fermi liquid hypothesis.

References in corpus (15)

• Electric Field Effect in Atomically Thin Carbon Films
• Carrier transport in 2D graphene layers
• Hydrodynamics of electrons in graphene
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• Non-local transport and the Hall viscosity of 2D hydrodynamic electron liquids
• Cyclotron resonance photoconductivity of a two-dimensional electron gas in HgTe quantum wells
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• Collective modes in interacting two-dimensional tomographic Fermi liquids
• Superballistic electron flow through a point contact in a Ga[Al]As heterostructure
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• Flat band induced non-Fermi liquid behavior of multicomponent fermions
• Geometric engineering of viscous magnetotransport in a two-dimensional electron system
• Infrared photoresistance as a sensitive probe of electronic transport in twisted bilayer graphene
• Linear-in-temperature conductance in two-dimensional electron fluids

Cited by in corpus (6)

• Superballistic paradox in electron fluids: Evidence of tomographic transport
• Nonequilibrium Relaxation and Odd-Even Effect in Finite-Temperature Electron Gases
• Strongly nonlinear Bernstein modes in graphene reveal plasmon-enhanced near-field magnetoabsorption
• Odd relaxation in three-dimensional Fermi liquids
• Anomalous Knudsen effect signaling long-lived modes in 2D electron gases
• Tomographic collective modes in a magnetic field