{ "id": "1910.01190", "version": "v1", "published": "2019-10-02T19:52:49.000Z", "updated": "2019-10-02T19:52:49.000Z", "title": "Fate of electron beam in graphene: Coulomb relaxation or plasma instability?", "authors": [ "Dmitry Svintsov" ], "comment": "7 pages, 3 figures", "categories": [ "cond-mat.mes-hall", "physics.plasm-ph" ], "abstract": "Electron beams in two-dimensional systems can provide a useful tool to study energy-momentum relaxation of electrons and to generate microwave radiation stemming from plasma-beam instabilities. Naturally, these two applications cannot coexist: if beam electrons do relax, the beam is stabilized; if instability exists, it strongly distorts the distribution function of beam electrons. In this paper, we study the competition of beam relaxation due to electron-electron (e-e) collisions and development of plasma beam instability in graphene. We find that unstable plasma mode associated with a beam is stabilized already by weak e-e collisions. At intermediate e-e collision frequency, the instability re-appears at the ordinary graphene plasmon mode. Such instability is interpreted as viscous transfer of momentum from beam to 2d plasmons. Its growth rate reaches its maximum at hydrodynamic-to-ballistic crossover, when plasmon wavelength and electron mean free path are of the same order of magnitude.", "revisions": [ { "version": "v1", "updated": "2019-10-02T19:52:49.000Z" } ], "analyses": { "keywords": [ "electron beam", "coulomb relaxation", "plasma instability", "electron mean free path", "ordinary graphene plasmon mode" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable" } } }