Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effects of interaction on an adiabatic quantum electron pump   We study the effects of inter-electron interactions on the charge pumped
through an adiabatic quantum electron pump. The pumping is through a system of
barriers, whose heights are deformed adiabatically. (Weak) interaction effects
are introduced through a renormalisation group flow of the scattering matrices
and the pumped charge is shown to {\it always} approach a quantised value at
low temperatures or long length scales. The maximum value of the pumped charge
is set by the number of barriers and is given by $Q_{\rm max} = n_b -1$. The
correlation between the transmission and the charge pumped is studied by seeing
how much of the transmission is enclosed by the pumping contour. The (integer)
value of the pumped charge at low temperatures is determined by the number of
transmission maxima enclosed by the pumping contour. The dissipation at finite
temperatures leading to the non-quantised values of the pumped charge scales as
a power law with the temperature ($Q-Q_{\rm int} \propto T^{2\alpha}$), or with
the system size ($Q-Q_{\rm int} \propto L_s^{-2\alpha}$), where $\alpha$ is a
measure of the interactions and vanishes at $T=0 ~(L_s=\infty)$. For a double
barrier system, our result agrees with the quantisation of pumped charge seen
in Luttinger liquids.

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The categories of this paper are: nucl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: nlin
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The categories of this paper are: ao-sci
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The categories of this paper are: comp-gas
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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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The categories of this paper are: plasm-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: physics
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: math-ph