Characterizing electronic scattering rates with transport in multiterminal devices

Jack H. Farrell; Andrew Lucas

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arXiv · 2605.03030

Characterizing electronic scattering rates with transport in multiterminal devices

Jack H. Farrell·Andrew Lucas

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Abstract

Strongly interacting electrons in clean two-dimensional devices are theorized to exhibit many distinct transport regimes, such as ballistic, hydrodynamic, or diffusive. Realistic samples often lie in crossover regimes between these idealized limits. We show how a single experiment on a multiterminal device can distinguish these regimes and constrain the relevant scattering rates without space-resolved imaging. Using a linearized Boltzmann model in a five-terminal geometry, we find that current partition among the drain contacts diagnoses the ballistic-hydrodynamic-Ohmic crossover and allows extraction of momentum-relaxing and momentum-conserving scattering rates in the crossover regime. The same geometry also exhibits clear signatures of the tomographic regime, potentially allowing for a quantitative discrimination between viscous and tomographic flow in experiments. Our results demonstrate that multiterminal devices are a simpler experimental route to characterize transport regimes in electron liquids, relative to space-resolved imaging experiments.

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Jack H. Farrell, Andrew Lucas. 2026-05-04. Characterizing electronic scattering rates with transport in multiterminal devices. https://arxiv.org/abs/2605.03030

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