Transverse voltage in anisotropic hydrodynamic conductors

Abstract

Weak momentum dissipation in ultra-clean metals gives rise to novel non-Ohmic current flow, including ballistic and hydrodynamic regimes. Recently, hydrodynamic flow has attracted intense interest because it presents a valuable window into the electronic correlations and the longest lived collective modes of quantum materials. However, diagnosing viscous flow is difficult as the macroscopic observables of ballistic and hydrodynamic transport such as the average current distribution can be deceptively similar, even if their respective microscopics deviate notably. Based on kinetic Boltzmann theory, here we propose to address this issue via the transverse channel voltage at zero magnetic field, which can efficiently detect hydrodynamic flow in a number of materials. To this end, we show that the transverse voltage is sensitive to the interplay between anisotropic fermiology and boundary scattering, resulting in a non-trivial behavior in narrow channels along crystalline low-symmetry directions. We discuss several materials where the channel-size dependent stress of the quantum fluid leads to a characteristic sign change of the transverse voltage as a new hallmark of the cross-over from the ballistic to the hydrodynamic regime.

References in corpus (35)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Evidence for hydrodynamic electron flow in PdCoO${}_2$
• Hydrodynamics of electrons in graphene
• Imaging viscous flow of the Dirac fluid in graphene
• Hydrodynamic electron flow in high-mobility wires
• Visualizing Poiseuille flow of hydrodynamic electrons
• Kubo formulas for viscosity: Hall viscosity, Ward identities, and the relation with conductivity
• Electrical and Thermal Transport at the Planckian Bound of Dissipation in the Hydrodynamic Electron Fluid of WP2
• Coulomb drag
• Fluidity Onset in Graphene
• One-band tight-binding model parametrization of the high-$T_c$ cuprates, including the effect of $k_z$-dispersion
• Planckian dissipation, minimal viscosity and the transport in cuprate strange metals
• Imaging phonon-mediated hydrodynamic flow in WTe2
• The boundary conditions of viscous electron flow
• Extremely Large Magnetoresistance in the Nonmagnetic Metal PdCoO2
• Viscous relaxation and collective oscillations in a trapped Fermi gas near the unitarity limit
• Departure from the Wiedemann-Franz Law in WP${}_2$ Driven by Mismatch in $T$-square Resistivity Prefactors
• Hydrodynamic approach to two-dimensional electron systems
• Electron-hole collision limited transport in charge-neutral bilayer graphene
• Theory of spin hydrodynamic generation
• Ballistic and hydrodynamic magnetotransport in narrow channels
• Simultaneous imaging of voltage and current density of flowing electrons in two dimensions
• Imaging Hydrodynamic Electrons Flowing Without Landauer-Sharvin Resistance
• Long-range nontopological edge currents in charge-neutral graphene
• The Hierarchy of Excitation Lifetimes in Two-Dimensional Fermi Gases
• Directional ballistic transport in the two-dimensional metal PdCoO2
• Electron hydrodynamics with a polygonal Fermi surface
• Thermal resistivity and hydrodynamics of the degenerate electron fluid in antimony
• Hydrodynamic theory of the Dyakonov-Shur instability in graphene transistors
• Dissipation-enabled hydrodynamic conductivity in a tunable bandgap semiconductor
• Spread and erase -- How electron hydrodynamics can eliminate the Landauer-Sharvin resistance
• Anomalously long lifetimes in two-dimensional Fermi liquids
• Collinear scattering and long-lived excitations in two-dimensional electron fluids
• Formation of an electron-phonon bi-fluid in bulk antimony
• Transition between scattering regimes of 2D electron transport