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We study the thermal and electric transport of a fluid of interacting Dirac fermions as they arise in single-layer graphene. We include Coulomb interactions, a dilute density of charged impurities and the presence of a magnetic field to…

Mesoscale and Nanoscale Physics · Physics 2009-05-31 Markus Mueller , Lars Fritz , Subir Sachdev , Joerg Schmalian

The last few years have seen an explosion of interest in hydrodynamic effects in interacting electron systems in ultra-pure materials. In this paper we briefly review the recent advances, both theoretical and experimental, in the…

Mesoscale and Nanoscale Physics · Physics 2017-11-22 B. N. Narozhny , I. V. Gornyi , A. D. Mirlin , J. Schmalian

We study non-linear dc transport in graphene using a hydrodynamic approach and conclude that in clean samples the drift velocity saturates at a weakly density-dependent value v_{sat} ~ 10^7 cm/s. We show that saturation results from the…

Other Condensed Matter · Physics 2015-05-13 R. Bistritzer , A. H. MacDonald

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 explore hydrodynamics of Dirac fermions in neutral graphene in the Corbino geometry. In the absence of magnetic field, the bulk Ohmic charge flow and the hydrodynamic energy flow are decoupled. However, the energy flow does affect the…

Mesoscale and Nanoscale Physics · Physics 2023-06-30 Vanessa Gall , Boris N. Narozhny , Igor V. Gornyi

In this paper we study thermo-electric transport in interacting two-dimensional Dirac-type systems using a phenomenological Boltzmann approach. We consider a setup that can accommodate electrons, holes, and collective modes. In the first…

Strongly Correlated Electrons · Physics 2022-11-30 Kitinan Pongsangangan , T. Ludwig , H. T. C. Stoof , Lars Fritz

Hydrodynamic transport effectively describes the collective dynamics of fluids with well-defined thermodynamic quantities. With enhanced electron-electron interactions at elevated temperatures, the collective behavior of electrons in…

Mesoscale and Nanoscale Physics · Physics 2024-06-25 Artem Talanov , Jonah Waissman , Aaron Hui , Brian Skinner , Kenji Watanabe , Takashi Taniguchi , Philip Kim

We study the thermal and electric transport of a fluid of interacting Dirac fermions using a Boltzmann approach. We include Coulomb interactions, a dilute density of charged impurities and the presence of a magnetic field to describe both…

Strongly Correlated Electrons · Physics 2009-11-13 Markus Mueller , Lars Fritz , Subir Sachdev

In nearly compensated graphene, disorder-assisted electron-phonon scattering or "supercollisions" are responsible for both quasiparticle recombination and energy relaxation. Within the hydrodynamic approach, these processes contribute weak…

Mesoscale and Nanoscale Physics · Physics 2021-04-30 B. N. Narozhny , I. V. Gornyi

The electrodynamics of a two-dimensional gas of massless fermions in graphene is studied by a collisionless hydrodynamic approach. A low-energy dispersion relation for the collective modes (plasmons) is derived both in the absence and in…

Mesoscale and Nanoscale Physics · Physics 2013-12-10 R. Roldán , J. -N. Fuchs , M. O. Goerbig

Motivated by recent experimental progress in preparing encapsulated graphene sheets with ultra-high mobilities up to room temperature, we present a theoretical study of dc transport in doped graphene in the hydrodynamic regime. By using the…

Mesoscale and Nanoscale Physics · Physics 2015-11-10 Iacopo Torre , Andrea Tomadin , Andre K. Geim , Marco Polini

Discovery of electron hydrodynamics in graphene system has opened a new scope of analytic calculations in condensed matter physics, which was traditionally well cultivated in science and engineering as a non-relativistic hydrodynamics and…

Strongly Correlated Electrons · Physics 2026-01-14 Thandar Zaw Win , Cho Win Aung , Gaurav Khandal , Sabyasachi Ghosh

We develop the theory of hydrodynamic charge and heat transport in strongly interacting quasi-relativistic systems on manifolds with inhomogeneous spatial curvature. In solid-state physics, this is analogous to strain disorder in the…

Strongly Correlated Electrons · Physics 2017-08-30 Vincenzo Scopelliti , Koenraad Schalm , Andrew Lucas

We develop a hydrodynamic description of transport properties in graphene-based systems which we derive from the quantum kinetic equation. In the interaction-dominated regime, the collinear scattering singularity in the collision integral…

Mesoscale and Nanoscale Physics · Physics 2015-04-28 B. N. Narozhny , I. V. Gornyi , M. Titov , M. Schütt , A. D. Mirlin

Hydrodynamic flow occurs in an electron liquid when the mean free path for electron-electron collisions is the shortest length scale in the problem. In this regime, transport is described by the Navier-Stokes equation, which contains two…

Mesoscale and Nanoscale Physics · Physics 2016-03-08 Alessandro Principi , Giovanni Vignale , Matteo Carrega , Marco Polini

Electrons and holes in clean, charge-neutral graphene behave like a strongly coupled relativistic liquid. The thermo-electric transport properties of the interacting Dirac quasiparticles are rather special, being constrained by an emergent…

Strongly Correlated Electrons · Physics 2017-08-23 Markus Mueller , Lars Fritz , Subir Sachdev , Joerg Schmalian

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…

Mesoscale and Nanoscale Physics · Physics 2022-07-21 Boris N. Narozhny

We study the electric and thermal transport of the Dirac carriers in monolayer graphene using the Boltzmann-equation approach. Motivated by recent thermopower measurements [F. Ghahari, H.-Y.~Xie, T. Taniguchi, K. Watanabe, M.~S.~Foster, and…

Mesoscale and Nanoscale Physics · Physics 2016-05-03 Hong-Yi Xie , Matthew S. Foster

We derive the system of hydrodynamic equations governing the collective motion of massless fermions in graphene. The obtained equations demonstrate the lack of Galilean- and Lorentz invariance, and contain a variety of nonlinear terms due…

Mesoscale and Nanoscale Physics · Physics 2014-09-01 D. Svintsov , V. Vyurkov , V. Ryzhii , T. Otsuji

In this paper we review, and extend to the non-isothermal case, some results concerning the application of the maximum entropy closure technique to the derivation of hydrodynamic equations for particles with spin-orbit interaction and…

Mathematical Physics · Physics 2016-04-29 Luigi Barletti
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