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For over a hundred years, electron transport in conductive materials has been primarily described by the Drude model, which assumes that current flow is impeded primarily by momentum-relaxing collisions between electrons and extrinsic…

Strongly Correlated Electrons · Physics 2025-10-06 Aaron Hui , Brian Skinner

In high-quality conductors, the hydrodynamic regime of electron transport has been recently realized. In this work we theoretically investigate magnetotransport of a viscous electron fluid in samples with electron-impermeable obstacles. We…

Mesoscale and Nanoscale Physics · Physics 2023-08-01 P. S. Alekseev , A. P. Dmitriev

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 fluids, preferred directions inside crystals…

Materials Science · Physics 2020-02-24 Georgios Varnavides , Adam S. Jermyn , Polina Anikeeva , Claudia Felser , Prineha Narang

Using a semi-classical approach and input from experiments on the conductivity of graphene, we determine the electronic density dependence of the electronic transport coefficients -- conductivity, thermal conductivity and thermopower -- of…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 N. M. R. Peres , J. M. B. Lopes dos Santos , T. Stauber

We develop a general hydrodynamic framework for computing direct current thermal and electric transport in a strongly interacting finite temperature quantum system near a Lorentz-invariant quantum critical point. Our framework is…

Strongly Correlated Electrons · Physics 2016-02-24 Andrew Lucas , Jesse Crossno , Kin Chung Fong , Philip Kim , Subir Sachdev

We develop a theory of fluctuation-driven phenomena in thermal transport in graphene double-layers. We work in the regime of electron hydrodynamics and focus on the double charge neutrality point. Although at the neutrality point charge…

Mesoscale and Nanoscale Physics · Physics 2022-09-20 Alex Levchenko , Songci Li , A. V. Andreev

Materials subjected to a magnetic field exhibit the Hall effect, a phenomenon studied and understood in fine detail. Here we report a qualitative breach of this classical behavior in electron systems with high viscosity. The viscous fluid…

We develop a theory of Coulomb drag in ultraclean double layers with strongly correlated carriers. In the regime where the equilibration length of the electron liquid is shorter than the interlayer spacing the main contribution to the…

Strongly Correlated Electrons · Physics 2015-06-18 S. S. Apostolov , A. Levchenko , A. V. Andreev

We show that the nonreciprocity of hydrodynamic electron transport in noncentrosymmetric conductors with broken time-reversal symmetry (TRS) is significantly enhanced compared to the disorder-dominated regime. This enhancement is caused by…

Mesoscale and Nanoscale Physics · Physics 2026-01-26 E. Kirkinis , L. Bonds , A. Levchenko , A. V. Andreev

We consider a hydrodynamic description of transport for generic two dimensional electron systems that lack Galilean invariance and do not fall into the category of Fermi liquids. We study magnetoresistance and show that it is governed only…

Strongly Correlated Electrons · Physics 2017-11-13 Aavishkar A. Patel , Richard A. Davison , Alex Levchenko

In conductors with a very small density of defects, electrons at low temperatures collide predominantly with the edges of a sample. Therefore, the ballistic regime of charge and heat transport is realized. The application of a perpendicular…

Mesoscale and Nanoscale Physics · Physics 2022-04-06 A. N. Afanasiev , P. S. Alekseev , A. A. Greshnov , M. A. Semina

We report on non-linear transport phenomena at high filling factor and DC current-induced electronic hydrodynamics in an ultra-high mobility (mu=20x10^6 cm^2/Vs) two-dimensional electron gas in a narrow (15 micron wide) GaAs/AlGaAs Hall bar…

Mesoscale and Nanoscale Physics · Physics 2023-05-17 Zitong Wang , Michael Hilke , Norm Fong , Guy Austing , Sergei Studenikin , Ken West , Loren Pfeiffer

Electronic transport in the regime where carrier-carrier collisions are the dominant scattering mechanism has taken on new relevance with the advent of ultraclean two-dimensional materials. Here we present a combined theoretical and…

Graphene hosts a unique electron system in which electron-phonon scattering is extremely weak but electron-electron collisions are sufficiently frequent to provide local equilibrium above liquid nitrogen temperature. Under these conditions,…

In this paper I report a pedagogical derivation of the unconventional electronic hydrodynamics in graphene on the basis of the kinetic theory. While formally valid in the weak coupling limit, this approach allows one to derive the…

Mesoscale and Nanoscale Physics · Physics 2019-10-30 Boris N. Narozhny

We study hydrodynamic electron magnetotransport in graphene devices. We show that in these systems a distinct mechanism of magnetoresistance appears, which is absent in systems with Galilean-invariant electron liquid. The resulting…

Mesoscale and Nanoscale Physics · Physics 2022-11-29 Alex Levchenko , Songci Li , A. V. Andreev

We investigate the electron-hole two-stream instability (or Coulomb drag) in intrinsic bilayer graphene in the hydrodynamic regime, accounting for the effects of temperature, initial drift velocity, magnetic field, and collisions. The…

Mesoscale and Nanoscale Physics · Physics 2022-12-05 Vasco Pinhão , Pedro Cosme , Hugo Terças

The magnetic field-dependent longitudinal and Hall components of the resistivity rho_xx(H) and rho_xy(H) are measured in graphene on silicon dioxide substrates at temperatures from 1.6 K to room temperature. At charge densities near the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Sungjae Cho , Michael S. Fuhrer

Hydrodynamic electron flow is experimentally observed in the differential resistance of electrostatically defined wires in the two-dimensional electron gas in (Al,Ga)As heterostructures. In these experiments current heating is used to…

Condensed Matter · Physics 2009-10-22 M. J. M. de Jong , L. W. Molenkamp

In metallic samples of small enough size and sufficiently strong momentum-conserving scattering, the viscosity of the electron gas can become the dominant process governing transport. In this regime, momentum is a long-lived quantity whose…

Strongly Correlated Electrons · Physics 2017-06-07 Thomas Scaffidi , Nabhanila Nandi , Burkhard Schmidt , Andrew P. Mackenzie , Joel E. Moore