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Hydrodynamics of electrons in graphene

2017/10/31 by Andrew Lucas, Kin Chung Fong · 4 citations
Materials Science · Physics and Astronomy · #Classical fluids #Classical mechanics #Condensed matter physics #Electron #Graphene #Graphene research and applications #Motion (physics) #Phase (matter) #Phase diagram #Physics #Quantum #Quantum and electron transport phenomena #Quantum mechanics #State of matter #Statistical physics #Surface and Thin Film Phenomena #Theoretical physics #cond-mat.mes-hall #cond-mat.str-el #hep-th #physics.flu-dyn

paper · pdf · doi:10.1088/1361-648x/aaa274

published as Journal of Physics: Condensed Matter 30, 053001 (2018) · Review article. 79 pages, 21 figures. v2: published version

openalex publication_date 2017/12/18 · arxiv created 2018/01/05 · arxiv updated 2018/01/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

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.

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