Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2010-10-14
Phys. Rev. B 83, 075428 (2011)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
6 pages, 5 figures, Revised version
Scientific paper
It is well known that the viscosity of a homogeneous electron liquid diverges in the limits of zero frequency and zero temperature. A nanojunction breaks translational invariance and necessarily cuts off this divergence. However, the estimate of the ensuing viscosity is far from trivial. Here, we propose an approach based on a Kramers-Kr\"onig dispersion relation, which connects the zero-frequency viscosity, $\eta(0)$, to the high-frequency shear modulus, $\mu_{\infty}$, of the electron liquid via $\eta(0) =\mu_{\infty} \tau$, with $\tau$ the junction-specific momentum relaxation time. By making use of a simple formula derived from time-dependent current-density functional theory we then estimate the many-body contributions to the resistance for an integrable junction potential and find that these viscous effects may be much larger than previously suggested for junctions of low conductance.
Roy Dibyendu
Ventra Massimiliano Di
Vignale Giovanni
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