# Distinguishing viscous, ballistic, and diffusive current flows in anisotropic metals

@article{Qi2021DistinguishingVB,
title={Distinguishing viscous, ballistic, and diffusive current flows in anisotropic metals},
author={Marvin Qi and Andrew Lucas},
journal={Physical Review B},
year={2021}
}
• Published 2 July 2021
• Physics
• Physical Review B
We show that in anisotropic Fermi liquids where momentum-conserving scattering is much faster than momentum-relaxing scattering processes, local imaging of the electric current flow patterns can cleanly distinguish between ballistic, viscous and ohmic flow patterns simultaneously (using a single image). We propose using multi-layer graphene-based heterostructures, including ABA trilayer graphene, as a natural experimental platform where an anisotropic ballistic-to-viscous crossover may be…

## Figures and Tables from this paper

• Physics
• 2021
Electron fluids have been predicted to display flow patterns featuring macroscopic vortices. While this behavior attracted interest as a signature of electron viscosity, linking it to the underlying
• Physics
• 2021
Two-dimensional Fermi systems is an appealing platform to explore exceptionally long-lived excitations arising due to collinear scattering governed by phase-space constraints. We present a direct
• Physics
Physical Review B
• 2022
We study the hydrodynamic viscous electronic transport in a two-dimensional sample separated into two semi-inﬁnite planes by a one-dimensional inﬁnite barrier. The semi-inﬁnite planes are
• Mathematics
• 2022
When continuous rotational invariance of a two-dimensional ﬂuid is broken to the discrete, dihedral subgroup D 6 —the point group of an equilateral triangle—the resulting anisotropic hydrodynamics
• Physics
SciPost Physics
• 2022
Understanding electrical transport in strange metals, including the seeming universality of Planckian T-linear resistivity, remains a longstanding challenge in condensed matter physics. We propose
• Physics
• 2021
Predictions of the many-body theory of Fermi-liquids are commonly viewed as trustworthy and free of signiﬁcant blank spots. As a rare exception to this belief, here we argue that the seminal Landau’s

## References

SHOWING 1-10 OF 40 REFERENCES

• Physics
• 2015
Motivated by recent experimental progress in preparing encapsulated graphene sheets with ultrahigh mobilities up to room temperature, we present a theoretical study of dc transport in doped graphene
• Physics
Physical review letters
• 2021
A viscometry technique that can, in principle, measure the multiple dissipative viscosities allowed in isotropic and anisotropic fluids alike and is also exceptionally robust to both boundary complications and ballistic effects is presented.
• Physics
Proceedings of the National Academy of Sciences
• 2017
It is shown that in viscous flows, interactions facilitate transport, allowing conductance to exceed the fundamental Landauer’s ballistic limit Gball, and a theory of the ballistic-to-viscous crossover is developed using an approach based on quasi-hydrodynamic variables.
It is concluded that 2D electrons in those structures in moderate magnetic fields should be treated as a viscous fluid, which is responsible for the giant negative magnetoresistance recently observed in the ultrahigh-mobility GaAs quantum wells.
• Physics
• 2020
Theoretical and experimental studies have revealed that electrons in condensed matter can behave hydrodynamically, exhibiting fluid phenomena such as Stokes flow and vortices. Unlike classical
• Physics
Nature
• 2020
Viscous Dirac fluid flow in room-temperature graphene is directly image by measuring the associated stray magnetic field, and viscosity and scattering rates are comparable to the universal values expected at quantum criticality, establishing a nearly ideal electron fluid in charge-neutral, high-mobility graphene at room temperature.
• Physics
Physical Review B
• 2019
Recent experiments have observed hints of hydrodynamic electron flow in a number of materials, not all of which have a simple Fermi surface. Motivated by such experiments in $\mathrm{PdCoO}_2$, a
• Physics
• 2021
The flow of charge carriers in materials can, under some circumstances, mimic the flow of viscous fluids. In order to visualize the consequences of such effects, new methodologies must be developed
• Physics
• 2018
The interplay between electronic interactions and disorder is neglected in the conventional Boltzmann theory of transport, yet can play an essential role in determining the resistivity of