Coulomb blockade in a quantum wire with long-range Coulomb interactions
Abstract
We study the transport through two impurities or ``barriers'' in a one-dimensional quantum wire, taking into account the long-range 1r Coulomb interactions. We compute the temperature-dependent conductance G(T) of this system. Long-range forces lead to a dramatic increase of weak barrier potentials with decreasing temperature, even in the ``resonant'' case. The system thus always reaches a ``strong barrier'' regime in which only charge is pinned, contrary to the standard LL case. G(T) vanishes faster than any power as T goes to zero. In particular, resonant tunneling is suppressed at zero temperature.
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