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In the hydrodynamic regime, phonons drift with a nonzero collective velocity under a temperature gradient, reminiscent of viscous gas and fluid flow. The study of hydrodynamic phonon transport has spanned over half a century but has been…

Materials Science · Physics 2018-02-05 Zhiwei Ding , Jiawei Zhou , Bai Song , Vazrik Chiloyan , Mingda Li , Te-Huan Liu , Gang Chen

The hydrodynamic behavior of electron fluids in a certain range of temperatures and densities is well established in graphene and in 2D semiconductor heterostructures. The hydrodynamic regime is intrinsically based on electron-electron…

Mesoscale and Nanoscale Physics · Physics 2023-12-12 Jack N. Engdahl , Aydin Cem Keser , Oleg P. Sushkov

We study the electron/hole transport in puddle-disordered and rough graphene samples which are subject to in-plane magnetic fields. Previous treatments, mostly devoted to regimes where the electron/hole scattering wavelengths are larger…

Mesoscale and Nanoscale Physics · Physics 2015-04-15 R. R. Brandão , L. Moriconi

Graphene-water interaction has been under scrutiny ever since graphene discovery and realization of its exceptional properties. Several computational and experimental reports exist that have tried to look into the interactions involved,…

Materials Science · Physics 2020-02-19 Priyanka Solanky , Vidushi Sharma , Kamalika Ghatak , Jatin Kashyap , Dibakar Datta

We analyze a well-known experimental work [J. Crossno et al., Science 351, 1058 (2016)] which reported on the failure of the Wiedemann-Franz law in graphene at $T\sim 10$-$100\,\mathrm{K}$, attributing this failure to the non-Fermi liquid…

Mesoscale and Nanoscale Physics · Physics 2023-02-06 Yi-Ting Tu , Sankar Das Sarma

Electron-electron interactions in high-mobility conductors can give rise to transport signatures resembling those described by classical hydrodynamics. Using a nanoscale scanning magnetometer, we imaged a distinctive hydrodynamic transport…

Mesoscale and Nanoscale Physics · Physics 2024-08-02 Marius L. Palm , Chaoxin Ding , William S. Huxter , Takashi Taniguchi , Kenji Watanabe , Christian L. Degen

Viscous flow of interacting electrons in two dimensional materials features a bunch of exotic effects. A model resembling the Navier-Stokes equation for classical fluids accounts for them in the so called hydrodynamic regime. We performed a…

Mesoscale and Nanoscale Physics · Physics 2025-07-01 Jorge Estrada-Álvarez , Francisco Domínguez-Adame , Elena Díaz

The experimental availability of ultra-high-mobility samples of graphene opens the possibility to realize and study experimentally the "hydrodynamic" regime of the electron liquid. In this regime the rate of electron-electron collisions is…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Alessandro Principi , Giovanni Vignale

Quantum-critical states of diverse strongly correlated systems are predicted to feature universal collision-dominated transport resembling that of viscous fluids. However, investigation of these phenomena has been hampered by the lack of…

Mesoscale and Nanoscale Physics · Physics 2016-05-20 Leonid Levitov , Gregory Falkovich

We examine the framework of relativistic spin-hydrodynamics in the context of electron hydrodynamics in graphene. We develop a spin-hydrodynamic model for a (2 + 1)-dimensional system of fermions under the condition of small spin…

Mesoscale and Nanoscale Physics · Physics 2025-01-03 Amaresh Jaiswal

We develop the theory of hydrodynamic electron transport in a long-range disorder potential for conductors in which the underlying electron liquid lacks Galilean invariance. For weak disorder, we express the transport coefficients of the…

Mesoscale and Nanoscale Physics · Physics 2020-08-19 Songci Li , Alex Levchenko , A. V. Andreev

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

Due to the many unique transport properties of Weyl semimetals, they are promising materials for modern electronics. We investigate the electrons in the strong coupling approximation near Weyl points based on their representation as…

Mesoscale and Nanoscale Physics · Physics 2021-09-15 Mariya Iv. Trukhanova , Pavel Andreev

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 Wiedemann-Franz ratio as functions of doping density…

Mesoscale and Nanoscale Physics · Physics 2019-05-01 Mohammad Zarenia , Giovanni Vignale , Thomas Benjamin Smith , Alessandro Principi

The sensitivity of graphene to the surrounding environment is given by its {\pi} electrons, which are directly exposed to molecules in the ambient. The high sensitivity of graphene to the local environment has shown to be both advantageous…

Materials Science · Physics 2018-04-27 Christos Melios , Cristina E. Giusca , Vishal Panchal , Olga Kazakova

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 dispersion relation of vertically oscillating fluid surfaces has been a subject extensively studied in the past, as well as surface instabilities produced by electrohydrodynamic (EHD) waves in similar configurations. In the present work…

Fluid Dynamics · Physics 2024-05-29 Raúl Fernández-Mateo , Alberto T. Pérez

The aim of this work is to describe the thermodynamic properties of an electron gas in graphene placed in a constant magnetic field. The electron gas is constituted by $N$ Bloch electrons in the long wavelength approximation. The partition…

Mesoscale and Nanoscale Physics · Physics 2013-10-29 Juan Sebastian Ardenghi , Pablo Bechthold , Estela Gonzalez , Paula Jasen , Alfredo Juan

The study of hydrodynamics of liquid crystal leads to many fasci- nating mathematical problems, which has prompted various interesting works recently. This article reviews the static Oseen-Frank theory and surveys some recent progress on…

Analysis of PDEs · Mathematics 2015-06-22 Fanghua Lin , Changyou Wang

In ultra-clean 2d materials electron viscosity is as important as Ohmic dissipation and electron transport exhibits hydrodynamic features. Using a simple framework of Brinkman equations we find that hydrodynamic electron flows exhibit a…

Mesoscale and Nanoscale Physics · Physics 2026-01-27 Jarosław Pawłowski , Piotr Surówka , Konstantin Zarembo