Hydrodynamic electron transport near charge neutrality

Li, Songci; Levchenko, Alex; Andreev, A. V.

doi:10.1103/physrevb.102.075305

Cited by 26 publications

(32 citation statements)

References 47 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This form of the friction coefficient k was obtained in Ref. [22], where δn(r) and δs(r) denote local fluctuations of the particle and entropy densities, respectively, and . .…”

Section: Appendix A: Disorder Effectsmentioning

confidence: 90%

“…Hydrodynamic electron transport in graphene devices has been the subject of active experimental [1][2][3][4][5][6][7][8][9] and theoretical research [10][11][12][13][14][15][16][17][18][19][20][21][22][23] over the past few years, see reviews [24][25][26] and references therein. In most electron systems the hydrodynamic flow corresponds to the flow of charge.…”

Section: Introductionmentioning

confidence: 99%

“…[1,2] investigated this crossover and elucidated the anomalous thermoelectric response in a Dirac fluid. In this case the crossover width is determined by the bulk inhomogeneities of the device [20][21][22]. Recently experimental [27][28][29][30][31] and theoretical [32][33][34][35] efforts focused on hydrodynamic electron transport in the Corbino geometry.…”

Section: Introductionmentioning

confidence: 99%

“…Equation ( 1) should be supplemented by the Navier-Stokes equation, which for a steady state linear response flow expresses local force balance. The radial force per unit area caused by the temperature gradient and EMF can be expressed in the column vector notations as x T X [22], and for the radial flow we have…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Hydrodynamic thermoelectric transport in Corbino geometry

Li,

Levchenko,

Andreev

2021

Preprint

Self Cite

View full text Add to dashboard Cite

We study hydrodynamic electron transport in Corbino graphene devices. Due to the irrotational character of the flow the forces exerted on the electron liquid are expelled from the bulk. We show that in the absence of Galilean invariance force expulsion produces qualitatively new features in thermoelectric transport: i) it results in drops of both voltage and temperature at the system boundaries; ii) in conductance measurements in pristine systems the electric field is not expelled from the bulk. We obtain thermoelectric coefficients of the system in the entire crossover region between charge neutrality and high electron density regime. The thermal conductance exhibits a sensitive Lorentzian dependence on the electron density. The width of the Lorentzian is determined by the fluid viscosity. This enables determination of viscosity of electron liquid near charge neutrality from purely thermal transport measurements. In general, the thermoelectric response is anomalous: it violates the Matthiessen's rule, the Wiedemann-Franz law, and the Mott relation.

show abstract

“…This form of the friction coefficient k was obtained in Ref. [22], where δn(r) and δs(r) denote local fluctuations of the particle and entropy densities, respectively, and . .…”

Section: Appendix A: Disorder Effectsmentioning

confidence: 90%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Hydrodynamic thermoelectric transport in Corbino geometry

Li,

Levchenko,

Andreev

2021

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…Hence, these images do not probe the more complex Dirac fluid regime. 39,59 Firstly, we discuss the possibility that the negative electric fields are caused by the Landauer resistivity dipole, i.e. by the diffusive properties of the charge carriers in presence of an obstacle.…”

Section: Origin Of Inverted Electric Fieldsmentioning

confidence: 99%

Evidence for Local Spots of Viscous Electron Flow in Graphene at Moderate Mobility

View full text Add to dashboard Cite

Hydrodynamic approach to two-dimensional electron systems

Narozhny

2022

Riv. Nuovo Cim.

View full text Add to dashboard Cite

The last few years have seen an explosion of interest in hydrodynamic effects in interacting electron systems in ultra-pure materials. One such material, graphene, is not only an excellent platform for the experimental realization of the hydrodynamic flow of electrons, but also allows for a controlled derivation of the hydrodynamic equations on the basis of kinetic theory. The resulting hydrodynamic theory of electronic transport in graphene yields quantitative predictions for experimentally relevant quantities, e.g., viscosity, electrical conductivity, etc. Here I review recent theoretical advances in the field, compare the hydrodynamic theory of charge carriers in graphene with relativistic hydrodynamics and recent experiments, and discuss applications of hydrodynamic approach to novel materials beyond graphene.

show abstract

Hydrodynamic electron transport near charge neutrality

Cited by 26 publications

References 47 publications

Hydrodynamic thermoelectric transport in Corbino geometry

Hydrodynamic thermoelectric transport in Corbino geometry

Evidence for Local Spots of Viscous Electron Flow in Graphene at Moderate Mobility

Hydrodynamic approach to two-dimensional electron systems

Contact Info

Product

Resources

About