Hydrodynamics of electrons in graphene

被引:289
作者
Lucas, Andrew [1 ]
Fong, Kin Chung [2 ]
机构
[1] Stanford Univ, Dept Phys, Stanford, CA 94305 USA
[2] Quantum Informat Proc Grp, Raytheon BBN Technol, Cambridge, MA 02138 USA
关键词
Dirac fluid; graphene; hydrodynamics; plasma; Fermi liquid; FERMI-LIQUID BEHAVIOR; RENORMALIZATION-GROUP; TRANSPORT; GENERATION; RESISTANCE; SPECTROSCOPY; CONDUCTION; SCATTERING; VISCOSITY; PLASMONS;
D O I
10.1088/1361-648X/aaa274
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
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 motion of electrons in solid-state systems, including graphene. We present a review of recent progress in understanding the hydrodynamic limit of electronic motion in graphene, written for physicists from diverse communities. We begin by discussing the 'phase diagram' of graphene, and the inevitable presence of impurities and phonons in experimental systems. We derive hydrodynamics, both from a phenomenological perspective and using kinetic theory. We then describe how hydrodynamic electron flow is visible in electronic transport measurements. Although we focus on graphene in this review, the broader framework naturally generalizes to other materials. We assume only basic knowledge of condensed matter physics, and no prior knowledge of hydrodynamics.
引用
收藏
页数:44
相关论文
共 233 条
[1]   THE THEORY OF A FERMI LIQUID - (THE PROPERTIES OF LIQUID HE-3 AT LOW TEMPERATURES) [J].
ABRIKOSOV, AA ;
KHALATNIKOV, IM .
REPORTS ON PROGRESS IN PHYSICS, 1959, 22 :329-367
[2]   A self-consistent theory for graphene transport [J].
Adam, Shaffique ;
Hwang, E. H. ;
Galitski, V. M. ;
Das Sarma, S. .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2007, 104 (47) :18392-18397
[3]   Supersymmetric low-energy theory and renormalization group for a clean Fermi gas with a repulsion in arbitrary dimensions [J].
Aleiner, I. L. ;
Efetov, K. B. .
PHYSICAL REVIEW B, 2006, 74 (07)
[4]   Negative Magnetoresistance in Viscous Flow of Two-Dimensional Electrons [J].
Alekseev, P. S. .
PHYSICAL REVIEW LETTERS, 2016, 117 (16)
[5]  
Alymov G, 2017, ARXIV170909015
[6]   Hydrodynamic Description of Transport in Strongly Correlated Electron Systems [J].
Andreev, A. V. ;
Kivelson, Steven A. ;
Spivak, B. .
PHYSICAL REVIEW LETTERS, 2011, 106 (25)
[7]  
[Anonymous], 2011, MANY BODY INTERACTIO
[8]   Hydrodynamic Coulomb drag of strongly correlated electron liquids [J].
Apostolov, S. S. ;
Levchenko, A. ;
Andreev, A. V. .
PHYSICAL REVIEW B, 2014, 89 (12)
[9]  
Ashcroft N W., 2003, Solid State Physics
[10]   Odd viscosity [J].
Avron, JE .
JOURNAL OF STATISTICAL PHYSICS, 1998, 92 (3-4) :543-557