skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: 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:
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:
Research Org.:
SLAC National Accelerator Lab., 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. doi:10.1063/1.5022187.
Mendl, Christian B., and Lucas, Andrew. Mon . "Dyakonov-Shur instability across the ballistic-to-hydrodynamic crossover". United States. doi: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 = {2018},
month = {3}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 1 work
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Detection, mixing, and frequency multiplication of terahertz radiation by two-dimensional electronic fluid
journal, March 1996

  • Dyakonov, M.; Shur, M.
  • IEEE Transactions on Electron Devices, Vol. 43, Issue 3
  • DOI: 10.1109/16.485650

Terahertz generation by means of optical lasers
journal, August 2008


Hydrodynamics of electrons in graphene
journal, January 2018


Hydrodynamic electron flow in high-mobility wires
journal, May 1995


Ballistic miniband conduction in a graphene superlattice
journal, September 2016


Observation of the Dirac fluid and the breakdown of the Wiedemann-Franz law in graphene
journal, February 2016


Downconversion of terahertz radiation due to intrinsic hydrodynamic nonlinearity of a two-dimensional electron plasma
journal, April 2015


Nonlocal transport and the hydrodynamic shear viscosity in graphene
journal, October 2015


Negative local resistance caused by viscous electron backflow in graphene
journal, February 2016


Current instability and plasma waves generation in ungated two-dimensional electron layers
journal, September 2005

  • Dyakonov, Michel; Shur, Michael S.
  • Applied Physics Letters, Vol. 87, Issue 11
  • DOI: 10.1063/1.2042547

Plasma wave detection of terahertz radiation by silicon field effects transistors: Responsivity and noise equivalent power
journal, December 2006

  • Tauk, R.; Teppe, F.; Boubanga, S.
  • Applied Physics Letters, Vol. 89, Issue 25
  • DOI: 10.1063/1.2410215

Superballistic flow of viscous electron fluid through graphene constrictions
journal, August 2017

  • Krishna Kumar, R.; Bandurin, D. A.; Pellegrino, F. M. D.
  • Nature Physics, Vol. 13, Issue 12
  • DOI: 10.1038/nphys4240

Higher-than-ballistic conduction of viscous electron flows
journal, March 2017

  • Guo, Haoyu; Ilseven, Ekin; Falkovich, Gregory
  • Proceedings of the National Academy of Sciences, Vol. 114, Issue 12
  • DOI: 10.1073/pnas.1612181114

Bulk and shear viscosities of the two-dimensional electron liquid in a doped graphene sheet
journal, March 2016


One-Dimensional Electrical Contact to a Two-Dimensional Material
journal, October 2013


Corbino Disk Viscometer for 2D Quantum Electron Liquids
journal, December 2014


Shallow water analogy for a ballistic field effect transistor: New mechanism of plasma wave generation by dc current
journal, October 1993


Dyakonov–Shur plasma excitations in the channel of a real high-electron mobility transistor
journal, June 2000

  • Crowne, Frank J.
  • Journal of Applied Physics, Vol. 87, Issue 11
  • DOI: 10.1063/1.373497

Plasma wave instability in gated collisionless two-dimensional electron gas
journal, August 2001

  • Dmitriev, A. P.; Kachorovskii, V. Yu.; Shur, M. S.
  • Applied Physics Letters, Vol. 79, Issue 7
  • DOI: 10.1063/1.1391395

Electromagnetic properties of viscous charged fluids
journal, July 2014


Electron viscosity, current vortices and negative nonlocal resistance in graphene
journal, February 2016

  • Levitov, Leonid; Falkovich, Gregory
  • Nature Physics, Vol. 12, Issue 7
  • DOI: 10.1038/nphys3667

A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
journal, May 1954


Damping of plasma waves in two-dimensional electron systems due to contacts
journal, September 2009

  • Satou, Akira; Ryzhii, Victor; Mitin, Vladimir
  • physica status solidi (b), Vol. 246, Issue 9
  • DOI: 10.1002/pssb.200945269

Stokes paradox in electronic Fermi liquids
journal, March 2017


Influence of electron scattering on current instability in field effect transistors
journal, September 1998


Contact boundary conditions and the Dyakonov–Shur instability in high electron mobility transistors
journal, August 1997

  • Crowne, Frank J.
  • Journal of Applied Physics, Vol. 82, Issue 3
  • DOI: 10.1063/1.365895

Evidence for hydrodynamic electron flow in PdCoO2
journal, February 2016