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DMR 0334499 Mesoscopic effects in metal grains and quantum dots Piet Brouwer (Cornell University)

G. DMR 0334499 Mesoscopic effects in metal grains and quantum dots Piet Brouwer (Cornell University). Quantum interference causes two corrections to the conductance G of a quantum dot: Weak localization correction d G to average conductance < G > at zero magnetic field,

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DMR 0334499 Mesoscopic effects in metal grains and quantum dots Piet Brouwer (Cornell University)

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  1. G DMR 0334499Mesoscopic effects in metal grains and quantum dotsPiet Brouwer (Cornell University) • Quantum interference causes two corrections to the conductance G of a quantum dot: • Weak localization correction dG • to average conductance <G> at zero • magnetic field, • Conductance fluctuations as a function • of the applied magnetic field, var G dG magnetic field G varG

  2. We considered these corrections in a dot coupled to source and drain electrodes via ballistic point contacts. I dot L Question: Do dG and varG depend on dot size L? • Known case, dot with impurity scattering: no dependence on L; • dG and var G given by random matrix theory (RMT) • With ballistic dynamics inside dot, the situation is more • complicated.

  3. If the ballistic dynamics is chaotic: • dG depends on L • l: Lyapunov exponent of classical dynamics • tD: dwell time in quantum dot • but var G is still independent of L, • Our work • resolved conflicting • predictions for dG; • gave a semiclassical • theory of the unexpected • universality of var G • (was known from numerics). Two classes of trajectories contributing to var G: Rahav and Brouwer, Phys. Rev. Lett. 95, 056806 (2005); Phys. Rev. B 74, 075322 (2006).

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