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Related papers: Collision-dominated nonlinear hydrodynamics in gra…

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The present work comprehensively reviews electron hydrodynamics in graphene, highlighting both experimental observations and theoretical developments. Key experimental signatures such as negative vicinity resistance, Poiseuille flow, and…

Mesoscale and Nanoscale Physics · Physics 2025-12-25 Subhalaxmi Nayak , Cho Win Aung , Thandar Zaw Win , Ashutosh Dwibedi , Sabyasachi Ghosh , Sesha Vempati

We study theoretically wave-vector and frequency dispersion of the complex dynamic conductivity tensor (DCT), $\sigma_{lm}(\mathbf{k}, \omega)$, of doped monolayer graphene under a strong dc electric field. For a general analysis, we…

Mesoscale and Nanoscale Physics · Physics 2016-01-25 S. M. Kukhtaruk , V. A. Kochelap , V. N. Sokolov , K. W. Kim

This paper is devoted to development of perturbation theory for studying the properties of graphene sheet of finite size, at nonzero temperature and chemical potential. The perturbation theory is based on the tight-binding Hamiltonian and…

Strongly Correlated Electrons · Physics 2015-12-16 N. Yu. Astrakhantsev , V. V. Braguta , M. I. Katsnelson

We explore the magnetohydrodynamics of Dirac fermions in neutral graphene in the Corbino geometry. Based on the fully consistent hydrodynamic description derived from a microscopic framework and taking into account all peculiarities of…

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

Non-diffusive, fluid-like transport of charge and heat has been observed in several materials, raising the question of whether they can emerge simultaneously and how they are related to bi-component electron-phonon fluids. Here we introduce…

Mesoscale and Nanoscale Physics · Physics 2026-03-23 Jennifer Coulter , Bogdan Rajkov , Michele Simoncelli

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

We study the role of long-range electron-electron interactions in a system of two-dimensional anisotropic Dirac fermions, which naturally appear in uniaxially strained graphene, graphene in external potentials, some strongly anisotropic…

Strongly Correlated Electrons · Physics 2012-07-24 Anand Sharma , Valeri N. Kotov , Antonio H. Castro Neto

We study the quasiparticle properties of two-dimensional massless Dirac Fermions when the many-body states possess a finite momentum density in the clean limit. The lack of Galilean invariance endows the many-body states at finite momentum…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Inti Sodemann

The pursuit for clearly identifiable signatures of viscous electron flow in the solid state systems has been a paramount task in the search of the hydrodynamic electron transport behavior. In this work, we investigate theoretically the…

Mesoscale and Nanoscale Physics · Physics 2022-06-14 Songci Li , Alex Levchenko

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

Generic interacting many-body quantum systems are believed to behave as classical fluids on long time and length scales. Due to rapid progress in growing exceptionally pure crystals, we are now able to experimentally observe this collective…

Strongly Correlated Electrons · Physics 2018-01-08 Andrew Lucas , Kin Chung Fong

Hydrodynamic transport coefficients may be evaluated from first principles in a weakly coupled scalar field theory at arbitrary temperature. In a theory with cubic and quartic interactions, the infinite class of diagrams which contribute to…

High Energy Physics - Phenomenology · Physics 2009-10-28 Sangyong Jeon

Probably the most enticing observation in theoretical physics during the last decade was the discovery of the great amount of consequences obtained from the AdS/CFT conjecture put forward by Maldacena. In this work we review how this…

High Energy Physics - Theory · Physics 2017-08-23 Antonio Dobado , Felipe J. Llanes-Estrada , Juan M. Torres-Rincon

A thermal transport mechanism leading to the enhanced thermal conductivity of Graphene nanofluids has been proposed. The Graphene sheet size is postulated to be the key to the underlying mechanism. Based on a critical sheet size derived…

Mesoscale and Nanoscale Physics · Physics 2015-12-02 Purbarun Dhar , Arvind Pattamatta , Sarit K. Das

The Dirac point and linear band structure in Graphene bestow it with remarkable electronic and optical properties, a subject of intense ongoing research. Explanations of high electronic mobility in graphene, often invoke the masslessness of…

Mesoscale and Nanoscale Physics · Physics 2019-03-21 Chaitanya K. Ullal , Jian Shi , Ravishankar Sundararaman

A generalized Dirac equation is derived in order to describe charge carriers moving in corrugated graphene, which is the case for temperatures above 10{\deg}K due to the presence of flexural phonons. Such interaction is taken into account…

Materials Science · Physics 2015-10-12 Richard Kerner , Gerardo Naumis

Electrons moving in graphene behave as massless Dirac fermions, and they exhibit fascinating low-frequency electrical transport phenomena. Their dynamic response, however, is little known at frequencies above one terahertz (THz). Such…

The low energy physics of both graphene and surface states of three-dimensional topological insulators is described by gapless Dirac fermions with linear dispersion. In this work, we predict the emergence of a "heavy" Dirac fermion in a…

Mesoscale and Nanoscale Physics · Physics 2016-10-17 Wendong Cao , Rui-Xing Zhang , Peizhe Tang , Gang Yang , Jorge Sofo , Wenhui Duan , Chao-Xing Liu

We present a hydrodynamic theory for electron-hole magnetotransport in graphene incorporating carrier-population imbalance, energy, and momentum relaxation processes. We focus on the electric response and find that the carrier and energy…

Mesoscale and Nanoscale Physics · Physics 2019-01-30 Hong-Yi Xie , Alex Levchenko

In this article we employ a simple nonrelativistic model to describe the low energy excitation of graphene. The model is based on a deformation of the Heisenberg algebra which makes the commutator of momenta proportional to the pseudo-spin.…

Mathematical Physics · Physics 2015-03-19 H. Falomir , J. Gamboa , M. Loewe , M. Nieto