Electron Turbulence at Nanoscale Junctions

Bushong, Neil; Gamble, John King; Ventra, Massimiliano Di

doi:10.1021/nl070935e

Cited by 18 publications

(31 citation statements)

References 34 publications

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“…22,26,27 In general, the spatial variation of the current density cannot be neglected especially in nanoscale systems where large transverse variations of the current density are common. [28][29][30][31] Another and more fundamental source of uncertainty is in the value of the electronic viscosity which enters the dissipative kernel xc . The viscosity we have used so far, which is plotted in inset ͑b͒ of Fig.…”

Section: Discussion and Critiquementioning

confidence: 99%

Incompleteness of the Landauer formula for electronic transport

Vignale

Ventra

2009

Phys. Rev. B

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We show that the Landauer formula for the conductance of a nanoscale system is incomplete because it does not take into account many-body effects which cannot be treated as contributions to the single-particle transmission probabilities. We show that the physical origin of these effects is related to the viscous nature of the electron liquid and we develop a perturbative formalism, based on the time-dependent current-densityfunctional theory, for calculating the corrections to the resistance in terms of the "Kohn-Sham current distribution" and the exchange-correlation kernel. The difficulties that still remain in calculating the latter are critically discussed.

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Section: Discussion and Critiquementioning

confidence: 99%

Incompleteness of the Landauer formula for electronic transport

Vignale

Ventra

2009

Phys. Rev. B

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“…The most striking prediction of this result is that, under specific conditions on the current, density, and junction geometry, the electron flow should undergo a transition from laminar to turbulent regimes [6]. Recently, this behavior was confirmed numerically by solving directly the TDSE within time-dependent current-density-functional theory [7] and comparing the results with the generalized Navier-Stokes equations derived in Ref. [6].…”

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confidence: 83%

“…We note that at large currents we observe the formation of turbulent ''eddies'' which evolve in time, rather than a completely chaotic current-density distribution. This means that, at the current values we consider here, turbulence is not fully developed [7]. Figure 2 illustrates the behavior typical for the turbulent regime.…”

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confidence: 91%

“…[12]. We also employ the jellium approximation for the electron liquid, which together with the assumption of incompressibility, allows us to neglect spatial variations of V ext r; t. Incompressibility of the electron liquid represents to a good approximation the behavior of metallic quantum point contacts [6,7,14]. The current density was calculated numerically as a solution of Eqs.…”

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confidence: 99%

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Turbulence-Induced Magnetic Flux Asymmetry at Nanoscale Junctions

2007

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It was recently predicted [J. Phys. Condens. Matter 18, 11059 (2006)] that turbulence of electron flow may develop at nonadiabatic nanoscale junctions under appropriate conditions. Here we show that such an effect leads to an asymmetric current-induced magnetic field on the two sides of an otherwise symmetric junction. We propose that measuring the fluxes ensuing from these fields across two surfaces placed at the two sides of the junction would provide direct and noninvasive evidence of the transition from laminar to turbulent electron flow. The flux asymmetry is predicted to first increase, reach a maximum, and then decrease with increasing current, i.e., with increasing amount of turbulence.

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“…A practical application of S-TDCDFT to the decay of excited He and its connection with quantum measurement theory can be found in Ref. 11.…”

Section: Introductionmentioning

confidence: 99%

Stochastic time-dependent current-density-functional theory: A functional theory of open quantum systems

D’Agosta

Ventra

2008

Phys. Rev. B

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The dynamics of a many-body system coupled to an external environment represents a fundamentally important problem. To this class of open quantum systems pertains the study of energy transport and dissipation, dephasing, quantum measurement and quantum information theory, phase transitions driven by dissipative effects, etc. Here, we discuss in detail an extension of timedependent current-density-functional theory (TDCDFT), we named stochastic TDCDFT [Phys. Rev. Lett. 98, 226403 (2007)], that allows the description of such problems from a microscopic point of view. We discuss the assumptions of the theory, its relation to a density matrix formalism, and the limitations of the latter in the present context. In addition, we describe a numerically convenient way to solve the corresponding equations of motion, and apply this theory to the dynamics of a 1D gas of excited bosons confined in a harmonic potential and in contact with an external bath.

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Electron Turbulence at Nanoscale Junctions

Cited by 18 publications

References 34 publications

Incompleteness of the Landauer formula for electronic transport

Incompleteness of the Landauer formula for electronic transport

Turbulence-Induced Magnetic Flux Asymmetry at Nanoscale Junctions

Stochastic time-dependent current-density-functional theory: A functional theory of open quantum systems

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