Hydrodynamic theory of the Dyakonov-Shur instability in graphene transistors

Crabb, Justin; Cantos-Roman, Xavier; Jornet, Josep Miquel; Aǐzin, G. R.

doi:10.1103/physrevb.104.155440

Cited by 25 publications

(15 citation statements)

References 52 publications

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“…In that case the wave velocities (shallow water waves in hydrodynamics or plasma waves in the heterostructure) describing propagation in the opposite directions are different leading to the instability with respect to plasmon generation. Known as the "Dyakonov-Shur" instability, this effect has attracted considerable attention in liter- ature, including that on hydrodynamic behavior in graphene [295,296]; however, a definitive experimental observation of the effect is still lacking. For a detailed numerical analysis of a similar instability in GaAs MESFETs see Ref.…”

Section: Nonlinear Phenomena In Electronic Hydrodynamicsmentioning

confidence: 99%

Hydrodynamic approach to two-dimensional electron systems

Narozhny

2022

Riv. Nuovo Cim.

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The last few years have seen an explosion of interest in hydrodynamic effects in interacting electron systems in ultra-pure materials. One such material, graphene, is not only an excellent platform for the experimental realization of the hydrodynamic flow of electrons, but also allows for a controlled derivation of the hydrodynamic equations on the basis of kinetic theory. The resulting hydrodynamic theory of electronic transport in graphene yields quantitative predictions for experimentally relevant quantities, e.g., viscosity, electrical conductivity, etc. Here I review recent theoretical advances in the field, compare the hydrodynamic theory of charge carriers in graphene with relativistic hydrodynamics and recent experiments, and discuss applications of hydrodynamic approach to novel materials beyond graphene.

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Section: Nonlinear Phenomena In Electronic Hydrodynamicsmentioning

confidence: 99%

Hydrodynamic approach to two-dimensional electron systems

Narozhny

2022

Riv. Nuovo Cim.

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“…The fluid dynamics model for plasmonic is a kind of macro approach to a micro problems [1][2][3][4]. It combines the Maxwell equation, Euler fluid dynamics equation, and continuity equation, with a supplementary term caused by the statistical pressure of the electron gas [5,6].…”

Section: Introductionmentioning

confidence: 99%

Energy Losses by the Interaction of Charged Particles with a Graphene Sheet

Wang

Sun

Hua

et al. 2023

AJOPACS

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Using the fluid dynamics model, we studied the formation of graphene surface plasma when the charge is tilted to the graphene sheet for motion. We calculated the electron energy loss spectrum of electrons at different angles and proved that the resonance in the spectrum is related to the frequency of graphene surface plasma, as the electron velocity decreases, the dispersion shifts to higher energies. An increase in the tilt angle will also shift the dispersion energy in a higher range.

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“…In this context, the Dyakonov-Shur instability can be understood as a non-trivial manifestation of the nonlinear regime of the Navier-Stokes equation [3,56,57]. This instability arises for a field effect transistor (FET) with asymmetric boundary conditions at the source and drain, in the presence of a bias DC current above a certain threshold.…”

Section: Introductionmentioning

confidence: 99%

“…Further, recent numerical simulations [56] have observed the endpoint of this instability to be a coherent linear oscillator, making the phenomenon even more promising as a radiation source. However, despite extensive work on the topic [3,[56][57][58][59][60][61][62][63][64], an experimental detection of the DS instability is still lacking.…”

Section: Introductionmentioning

confidence: 99%

Terahertz Radiation from the Dyakonov-Shur Instability of Hydrodynamic Electrons in a Corbino Geometry

Farrell¹,

Grisouard²,

Scaffidi³

2021

Preprint

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Hydrodynamic electrons flowing through a two-dimensional channel are predicted to undergo a plasma instability above a critical drift velocity. This Dyakonov-Shur (DS) instability terminates as a coherent nonlinear oscillator which shows promise as a source of radiation that could fill the so-called TeraHertz gap. In this work, we study radial flow in a Corbino disk, and demonstrate how the DS instability is substantially enhanced in this geometry, both in terms of a lower critical drift velocity and a higher generated power. Interestingly, hydrodynamic electron flows were recently reported in a graphene sample of this geometry, and our results are therefore directly relevant to current efforts to detect this experimentally elusive phenomenon. The analysis is based on a hydrodynamic approach and features both linearized calculations as well as full numerical simulations of the Navier-Stokes equation.

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Hydrodynamic theory of the Dyakonov-Shur instability in graphene transistors

Cited by 25 publications

References 52 publications

Hydrodynamic approach to two-dimensional electron systems

Hydrodynamic approach to two-dimensional electron systems

Energy Losses by the Interaction of Charged Particles with a Graphene Sheet

Terahertz Radiation from the Dyakonov-Shur Instability of Hydrodynamic Electrons in a Corbino Geometry

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