# Electronic hydrodynamics and the breakdown of the Wiedemann-Franz and Mott laws in interacting metals

@article{Lucas2018ElectronicHA, title={Electronic hydrodynamics and the breakdown of the Wiedemann-Franz and Mott laws in interacting metals}, author={Andrew Lucas and Sankar Das Sarma}, journal={Physical Review B}, year={2018} }

We present the theory of thermoelectric transport in metals with long-lived quasiparticles, carefully addressing the interplay of electron-electron scattering as well as electron-impurity scattering, but neglecting electron-phonon scattering. In Fermi liquids with a large Fermi surface and weak electron-impurity scattering, we provide universal and simple formulas for the behavior of the thermoelectric conductivities across the ballistic-to-hydrodynamic crossover. In this regime, the electrical…

## 27 Citations

Role of electron-electron collisions for charge and heat transport at intermediate temperatures

- Materials Science, Physics
- 2020

Electric, thermal and thermoelectric transport in correlated electron systems probe different aspects of the many-body dynamics, and thus provide complementary information. These are well studied in…

Thermal transport in compensated semimetals: Effect of electron-electron scattering on Lorenz ratio

- PhysicsPhysical Review B
- 2020

It is well known that the electronic thermal conductivity of clean compensated semimetals can be greatly enhanced over the electric conductivity by the availability of an ambipolar mechanism of…

Departure from the Wiedemann–Franz law in WP2 driven by mismatch in T-square resistivity prefactors

- Physicsnpj Quantum Materials
- 2018

The Wiedemann–Franz law establishes a link between heat and charge transport due to electrons in solids. The extent of its validity in the presence of inelastic scattering is a question raised in…

Disorder-enabled hydrodynamics of charge and heat transport in monolayer graphene

- Physics, Materials Science2D Materials
- 2019

Hydrodynamic behavior in electronic systems is commonly accepted to be associated with extremely clean samples such that electron–electron collisions dominate and total momentum is conserved.…

Wiedemann-Franz law and Fermi liquids

- PhysicsPhysical Review B
- 2019

We consider in depth the applicability of the Wiedemann-Franz (WF) law, namely that the electronic thermal conductivity ($\kappa$) is proportional to the product of the absolute temperature ($T$) and…

Disorder recovers the Wiedemann-Franz law in the metallic phase of
VO2

- Materials Science
- 2020

At temperatures higher than 341 K, vanadium dioxide (${\mathrm{VO}}_{2}$) is a strongly correlated metal with resistivity exceeding the Mott-Ioffe-Regel limit. Its electronic thermal conductivity is…

Breakdown of the Wiedemann-Franz law in
AB
-stacked bilayer graphene

- PhysicsPhysical Review B
- 2019

We present a simple theory of thermoelectric transport in bilayer graphene and report our results for the electrical resistivity, the thermal resistivity, the Seebeck coefficient, and the…

Drag viscosity of metals and its connection to Coulomb drag

- Physics
- 2020

Recent years have seen a surge of interest in studies of hydrodynamic transport in electronic systems. We investigate the electron viscosity of metals and find a component that is closely related to…

Stokes flow around an obstacle in viscous two-dimensional electron liquid

- Physics, MedicineScientific Reports
- 2020

By tuning the temperature, an electronic analog of the Stokes flow around a disc immersed in a two-dimensional viscous liquid is studied and the transport signatures of the ballistic and hydrodynamic regimes on the length scale of disc size are observed.

Critical viscosity of a fluctuating superconductor

- PhysicsPhysical Review B
- 2019

We consider a fluctuating superconductor in the vicinity of the transition temperature, ${T}_{c}$. The fluctuation shear viscosity is calculated. In two dimensions, the leading correction to…

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