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

Mendl, Christian B.; Lucas, Andrew

doi:10.1063/1.5022187

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

Journal Article · Mon Mar 19 00:00:00 EDT 2018 · Applied Physics Letters

DOI:https://doi.org/10.1063/1.5022187· OSTI ID:1436966

^[1]; Lucas, Andrew ^[2]

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)

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.

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Research Organization:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC02-76SF00515; GBMF4302

OSTI ID:: 1436966

Alternate ID(s):: OSTI ID: 1427320

Journal Information:: Applied Physics Letters, Vol. 112, Issue 12; ISSN 0003-6951

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 12 works

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References (35)

Detection, mixing, and frequency multiplication of terahertz radiation by two-dimensional electronic fluid Dyakonov, M.; Shur, M. IEEE Transactions on Electron Devices, Vol. 43, Issue 3 https://doi.org/10.1109/16.485650	journal	March 1996
Terahertz generation by means of optical lasers Kitaeva, G. Kh. Laser Physics Letters, Vol. 5, Issue 8 https://doi.org/10.1002/lapl.200810039	journal	August 2008
Hydrodynamics of electrons in graphene Lucas, Andrew; Fong, Kin Chung Journal of Physics: Condensed Matter, Vol. 30, Issue 5 https://doi.org/10.1088/1361-648X/aaa274	journal	January 2018
Ballistic miniband conduction in a graphene superlattice Lee, M.; Wallbank, J. R.; Gallagher, P. Science, Vol. 353, Issue 6307 https://doi.org/10.1126/science.aaf1095	journal	September 2016
Observation of the Dirac fluid and the breakdown of the Wiedemann-Franz law in graphene Crossno, J.; Shi, J. K.; Wang, K. Science, Vol. 351, Issue 6277 https://doi.org/10.1126/science.aad0343	journal	February 2016
Downconversion of terahertz radiation due to intrinsic hydrodynamic nonlinearity of a two-dimensional electron plasma Giliberti, Valeria; Di Gaspare, Alessandra; Giovine, Ennio Physical Review B, Vol. 91, Issue 16 https://doi.org/10.1103/PhysRevB.91.165313	journal	April 2015
Negative local resistance caused by viscous electron backflow in graphene Bandurin, D. A.; Torre, I.; Kumar, R. K. Science, Vol. 351, Issue 6277 https://doi.org/10.1126/science.aad0201	journal	February 2016
Temperature dependence of the nonlinear plasma resonance in gated two-dimensional semiconductor conduction channels Rudin, S. Applied Physics Letters, Vol. 96, Issue 25 https://doi.org/10.1063/1.3455993	journal	June 2010
Current instability and plasma waves generation in ungated two-dimensional electron layers Dyakonov, Michel; Shur, Michael S. Applied Physics Letters, Vol. 87, Issue 11 https://doi.org/10.1063/1.2042547	journal	September 2005
Plasma wave detection of terahertz radiation by silicon field effects transistors: Responsivity and noise equivalent power Tauk, R.; Teppe, F.; Boubanga, S. Applied Physics Letters, Vol. 89, Issue 25 https://doi.org/10.1063/1.2410215	journal	December 2006
Superballistic flow of viscous electron fluid through graphene constrictions Krishna Kumar, R.; Bandurin, D. A.; Pellegrino, F. M. D. Nature Physics, Vol. 13, Issue 12 https://doi.org/10.1038/nphys4240	journal	August 2017
Higher-than-ballistic conduction of viscous electron flows Guo, Haoyu; Ilseven, Ekin; Falkovich, Gregory Proceedings of the National Academy of Sciences, Vol. 114, Issue 12 https://doi.org/10.1073/pnas.1612181114	journal	March 2017
Bulk and shear viscosities of the two-dimensional electron liquid in a doped graphene sheet Principi, Alessandro; Vignale, Giovanni; Carrega, Matteo Physical Review B, Vol. 93, Issue 12 https://doi.org/10.1103/PhysRevB.93.125410	journal	March 2016
One-Dimensional Electrical Contact to a Two-Dimensional Material Wang, L.; Meric, I.; Huang, P. Y. Science, Vol. 342, Issue 6158 https://doi.org/10.1126/science.1244358	journal	October 2013
Corbino Disk Viscometer for 2D Quantum Electron Liquids Tomadin, Andrea; Vignale, Giovanni; Polini, Marco Physical Review Letters, Vol. 113, Issue 23 https://doi.org/10.1103/PhysRevLett.113.235901	journal	December 2014
Dyakonov–Shur plasma excitations in the channel of a real high-electron mobility transistor Crowne, Frank J. Journal of Applied Physics, Vol. 87, Issue 11 https://doi.org/10.1063/1.373497	journal	June 2000
Plasma wave instability in gated collisionless two-dimensional electron gas Dmitriev, A. P.; Kachorovskii, V. Yu.; Shur, M. S. Applied Physics Letters, Vol. 79, Issue 7 https://doi.org/10.1063/1.1391395	journal	August 2001
Electromagnetic properties of viscous charged fluids Forcella, Davide; Zaanen, Jan; Valentinis, Davide Physical Review B, Vol. 90, Issue 3 https://doi.org/10.1103/PhysRevB.90.035143	journal	July 2014
Electron viscosity, current vortices and negative nonlocal resistance in graphene Levitov, Leonid; Falkovich, Gregory Nature Physics, Vol. 12, Issue 7 https://doi.org/10.1038/nphys3667	journal	February 2016
A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems Bhatnagar, P. L.; Gross, E. P.; Krook, M. Physical Review, Vol. 94, Issue 3 https://doi.org/10.1103/PhysRev.94.511	journal	May 1954
Damping of plasma waves in two-dimensional electron systems due to contacts Satou, Akira; Ryzhii, Victor; Mitin, Vladimir physica status solidi (b), Vol. 246, Issue 9 https://doi.org/10.1002/pssb.200945269	journal	September 2009
Stokes paradox in electronic Fermi liquids Lucas, Andrew Physical Review B, Vol. 95, Issue 11 https://doi.org/10.1103/PhysRevB.95.115425	journal	March 2017
Influence of electron scattering on current instability in field effect transistors Cheremisin, M. V.; Dyakonov, M. I.; Shur, M. S. Solid-State Electronics, Vol. 42, Issue 9 https://doi.org/10.1016/S0038-1101(98)00133-6	journal	September 1998
Contact boundary conditions and the Dyakonov–Shur instability in high electron mobility transistors Crowne, Frank J. Journal of Applied Physics, Vol. 82, Issue 3 https://doi.org/10.1063/1.365895	journal	August 1997
Evidence for hydrodynamic electron flow in PdCoO2 Moll, P. J. W.; Kushwaha, P.; Nandi, N. Science, Vol. 351, Issue 6277 https://doi.org/10.1126/science.aac8385	journal	February 2016
Atomic-like charge qubit in a carbon nanotube enabling electric and magnetic field nano-sensing Khivrich, I.; Ilani, S. Nature Communications, Vol. 11, Issue 1 https://doi.org/10.1038/s41467-020-16001-5	journal	May 2020
Isospin Pomeranchuk effect in twisted bilayer graphene Saito, Yu; Yang, Fangyuan; Ge, Jingyuan Nature, Vol. 592, Issue 7853 https://doi.org/10.1038/s41586-021-03409-2	journal	April 2021
A Corbino disk viscometer for 2D quantum electron liquids Tomadin, Andrea; Vignale, Giovanni; Polini, Marco arXiv https://doi.org/10.48550/arxiv.1401.0938	text	January 2014
Electron Viscosity, Current Vortices and Negative Nonlocal Resistance in Graphene Levitov, Leonid; Falkovich, Gregory arXiv https://doi.org/10.48550/arxiv.1508.00836	text	January 2015
Observation of the Dirac fluid and the breakdown of the Wiedemann-Franz law in graphene Crossno, Jesse; Shi, Jing K.; Wang, Ke arXiv https://doi.org/10.48550/arxiv.1509.04713	text	January 2015
Superballistic flow of viscous electron fluid through graphene constrictions Kumar, R. Krishna; Bandurin, D. A.; Pellegrino, F. M. D. arXiv https://doi.org/10.48550/arxiv.1703.06672	text	January 2017
Hydrodynamics of electrons in graphene Lucas, Andrew; Fong, Kin Chung arXiv https://doi.org/10.48550/arxiv.1710.08425	text	January 2017
Hydrodynamic electron flow in high-mobility wires de Jong, M. J. M.; Molenkamp, L. W. Physical Review B, Vol. 51, Issue 19 https://doi.org/10.1103/physrevb.51.13389	journal	May 1995
Nonlocal transport and the hydrodynamic shear viscosity in graphene Torre, Iacopo; Tomadin, Andrea; Geim, Andre K. Physical Review B, Vol. 92, Issue 16 https://doi.org/10.1103/physrevb.92.165433	journal	October 2015
Shallow water analogy for a ballistic field effect transistor: New mechanism of plasma wave generation by dc current Dyakonov, Michael; Shur, Michael Physical Review Letters, Vol. 71, Issue 15 https://doi.org/10.1103/physrevlett.71.2465	journal	October 1993

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