6,062 research outputs found
Quantum transport at the Dirac point: Mapping out the minimum conductivity from pristine to disordered graphene
The phase space for graphene's minimum conductivity is
mapped out using Landauer theory modified for scattering using Fermi's Golden
Rule, as well as the Non-Equilibrium Green's Function (NEGF) simulation with a
Monte Carlo sampling over impurity distributions. The resulting `fan diagram'
spans the range from ballistic to diffusive over varying aspect ratios (),
and bears several surprises. {The device aspect ratio determines how much
tunneling (between contacts) is allowed and becomes the dominant factor for the
evolution of from ballistic to diffusive regime. We find an
increasing (for ) or decreasing () trend in vs.
impurity density, all converging around at the dirty
limit}. In the diffusive limit, the {conductivity} quasi-saturates due to the
precise cancellation between the increase in conducting modes from charge
puddles vs the reduction in average transmission from scattering at the Dirac
Point. In the clean ballistic limit, the calculated conductivity of the lowest
mode shows a surprising absence of Fabry-P\'{e}rot oscillations, unlike other
materials including bilayer graphene. We argue that the lack of oscillations
even at low temperature is a signature of Klein tunneling
Phase Space Transport in Noisy Hamiltonian Systems
This paper analyses the effect of low amplitude friction and noise in
accelerating phase space transport in time-independent Hamiltonian systems that
exhibit global stochasticity. Numerical experiments reveal that even very weak
non-Hamiltonian perturbations can dramatically increase the rate at which an
ensemble of orbits penetrates obstructions like cantori or Arnold webs, thus
accelerating the approach towards an invariant measure, i.e., a
near-microcanonical population of the accessible phase space region. An
investigation of first passage times through cantori leads to three
conclusions, namely: (i) that, at least for white noise, the detailed form of
the perturbation is unimportant, (ii) that the presence or absence of friction
is largely irrelevant, and (iii) that, overall, the amplitude of the response
to weak noise scales logarithmically in the amplitude of the noise.Comment: 13 pages, 3 Postscript figures, latex, no macors. Annals of the New
York Academy of Sciences, in pres
Hydraulic simulations to evaluate and predict design and operation of the Chashma Right Bank Canal
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