Anomalous Knudsen effect signaling long-lived modes in 2D electron gases
arXiv:2502.04880 · doi:10.1103/rwjf-lh2r
Abstract
Proper analysis of electron collisions in two spatial dimensions leads to the conclusion, that the odd harmonics of the electron distribution function decay much slower than the even ones at finite temperatures. The number of long-lived odd harmonics quickly shrinks with increasing temperature. Focusing on a channel geometry with boundary scattering, we show that such behavior of the odd decay rates leads to a characteristic behaviour of the conductance that we dub anomalous Knudsen effect: it initially grows with temperature but then starts to decrease, forming a peak. Further increase of the temperature forces the conductance to grow again due to the Gurzhi effect, associated with the crossover from ballistic to hydrodynamic transport. The simultaneous observation of the Gurzhi dip preceded by the anomalous Knudsen peak constitutes a particular signature of the long-lived modes in 2D electron transport at low temperatures.
References in corpus (15)
- Thermal conductivity of suspended pristine graphene measured by Raman spectroscopy
- Quantum-critical relativistic magnetotransport in graphene
- Hydrodynamics in graphene: Linear-response transport
- Zero differential resistance state of two dimensional electron systems in strong magnetic fields
- Colossal negative magnetoresistance in a 2D electron gas
- Stokes paradox in electronic Fermi liquids
- Hydrodynamic Model for Conductivity in Graphene
- Manifestations of classical size effect and electronic viscosity in the magnetoresistance of narrow two-dimensional conductors: Theory and experiment
- Anomalously long lifetimes in two-dimensional Fermi liquids
- Collinear scattering and long-lived excitations in two-dimensional electron fluids
- Long distance electron-electron scattering detected with point contacts
- Testing the tomographic Fermi liquid hypothesis with high-order cyclotron resonance
- Linear-in-temperature conductance in two-dimensional electron fluids
- Two-dimensional electron gases as non-Newtonian fluids
- Transition between scattering regimes of 2D electron transport