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Magnetotransport of tomographic electrons in a channel
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Magnetotransport of tomographic electrons in a channel
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Hydrodynamics is a new paradigm of electron transport in high-mobility devices, where frequent electron collisions give rise to a collective electron flow profile. However, conventional descriptions of these flows, which are based on the fluid equations for a classical gas extended to include impurity scattering, do not account for the distinct collisional relaxation in quantum-mechanical systems. In particular, by dint of Pauli blocking even modes of the distribution function relax over significantly shorter length scales than odd modes (dubbed the ``tomographic'' effect). We establish an analytical description of tomographic electron flow in a channel, and find four new distinguishing features: (i) Non-equilibrium effects from the boundaries penetrate significantly deeper into the flow domain; (ii) an additional velocity slip condition leads to a significant increase in the channel conductance; (iii) bulk rarefaction corrections decrease the curvature of the velocity profile in the channel center; and (iv) all these anomalous transport effects are rapidly suppressed with magnetic fields. The latter effect leads to a non-monotonic magneto-conductance, which can be used to measure both the even- and odd-mode mean free paths. Our asymptotic results unveil the underlying physics of tomographic flows and provide an alternative to numerical solutions of the Fermi-liquid equations.
Forward citations
Cited by 6 Pith papers
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Magnetotransport of tomographic electrons in a Corbino disk
Tomographic boundary layers in a Corbino disk enhance the quadratic magnetoresistance coefficient via curvature-dependent slip and superballistic electrode conductance, yielding three B-field regimes with anomalous T/...
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Current partition in a five-terminal geometry diagnoses ballistic-hydrodynamic-Ohmic crossovers and extracts momentum-relaxing and conserving scattering rates in 2D electron systems.
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Characterizing electronic scattering rates with transport in multiterminal devices
A linearized Boltzmann model in five-terminal geometry shows current partition diagnoses ballistic-hydrodynamic-Ohmic crossover and extracts momentum-relaxing and conserving scattering rates.
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Tomographic collective modes in a magnetic field
At a critical magnetic field of order ω_c/γ_o ~ O(1), one of two zero-field tomographic diffusive collective modes disappears; which one survives depends on the Landau parameter F1.
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Tomographic flow regime vs even-odd effect for the magnetotransport in the Corbino geometry
In a Corbino disk, long-lived odd angular harmonics make the resistance sensitivity to B-squared peak at small magnetic fields, strongest near the tomographic crossover.
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