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Title: Dyakonov-Shur instability across the ballistic-to-hydrodynamic crossover

Here, we numerically solve semiclassical kinetic equations and compute the growth rate of the Dyakonov-Shur instability of a two-dimensional Fermi liquid in a finite length cavity. When electron-electron scattering is fast, we observe the well-understood hydrodynamic instability and its disappearance due to viscous dissipation. When electron-electron scattering is negligible, we find that the instability re-emerges for certain boundary conditions but not for others. We discuss the implications of these findings for experiments.
Authors:
ORCiD logo [1] ;  [2]
  1. Technische Univ. Dresden, Dresden (Germany); SLAC National Accelerator Lab., Menlo Park, CA (United States); Stanford Univ., Stanford, CA (United States)
  2. Stanford Univ., Stanford, CA (United States)
Publication Date:
Grant/Contract Number:
AC02-76SF00515; GBMF4302
Type:
Accepted Manuscript
Journal Name:
Applied Physics Letters
Additional Journal Information:
Journal Volume: 112; Journal Issue: 12; Journal ID: ISSN 0003-6951
Publisher:
American Institute of Physics (AIP)
Research Org:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
OSTI Identifier:
1436966
Alternate Identifier(s):
OSTI ID: 1427320

Mendl, Christian B., and Lucas, Andrew. Dyakonov-Shur instability across the ballistic-to-hydrodynamic crossover. United States: N. p., Web. doi:10.1063/1.5022187.
Mendl, Christian B., & Lucas, Andrew. Dyakonov-Shur instability across the ballistic-to-hydrodynamic crossover. United States. doi:10.1063/1.5022187.
Mendl, Christian B., and Lucas, Andrew. 2018. "Dyakonov-Shur instability across the ballistic-to-hydrodynamic crossover". United States. doi:10.1063/1.5022187.
@article{osti_1436966,
title = {Dyakonov-Shur instability across the ballistic-to-hydrodynamic crossover},
author = {Mendl, Christian B. and Lucas, Andrew},
abstractNote = {Here, we numerically solve semiclassical kinetic equations and compute the growth rate of the Dyakonov-Shur instability of a two-dimensional Fermi liquid in a finite length cavity. When electron-electron scattering is fast, we observe the well-understood hydrodynamic instability and its disappearance due to viscous dissipation. When electron-electron scattering is negligible, we find that the instability re-emerges for certain boundary conditions but not for others. We discuss the implications of these findings for experiments.},
doi = {10.1063/1.5022187},
journal = {Applied Physics Letters},
number = 12,
volume = 112,
place = {United States},
year = {2018},
month = {3}
}