Dyakonov-Shur instability across the ballistic-to-hydrodynamic crossover
Abstract
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:
-
[1];
- Technische Univ. Dresden, Dresden (Germany); SLAC National Accelerator Lab., Menlo Park, CA (United States); Stanford Univ., Stanford, CA (United States)
- Stanford Univ., Stanford, CA (United States)
- Publication Date:
- Research Org.:
- SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1436966
- Alternate Identifier(s):
- OSTI ID: 1427320
- Grant/Contract Number:
- AC02-76SF00515; GBMF4302
- Resource 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)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Citation Formats
Mendl, Christian B., and Lucas, Andrew. Dyakonov-Shur instability across the ballistic-to-hydrodynamic crossover. United States: N. p., 2018.
Web. doi:10.1063/1.5022187.
Mendl, Christian B., & Lucas, Andrew. Dyakonov-Shur instability across the ballistic-to-hydrodynamic crossover. United States. https://doi.org/10.1063/1.5022187
Mendl, Christian B., and Lucas, Andrew. Mon .
"Dyakonov-Shur instability across the ballistic-to-hydrodynamic crossover". United States. https://doi.org/10.1063/1.5022187. https://www.osti.gov/servlets/purl/1436966.
@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 = {Mon Mar 19 00:00:00 EDT 2018},
month = {Mon Mar 19 00:00:00 EDT 2018}
}
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Works referencing / citing this record:
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