REVIEW 5 cited by
Magnetotransport of tomographic electrons in a channel
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
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 5 Pith papers
-
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/...
-
Complete kinematic null for local kinetic dissipation in a sixfold-driven electron fluid
A sixfold D12 drive creates a symmetry-forced point where current and its full gradient vanish, so local hydrodynamic heating is absent and an m=3 kinetic mode becomes the leading observable.
-
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.
-
Magnetic field suppression of tomographic electron transport
A small magnetic field suppresses tomographic electron transport at a field scale set by the odd-parity mean free path, much below the scale for hydrodynamic suppression.
-
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.
Discussion (0). Continue with ORCID to comment.