Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Higher-Order Results for the Relation between Channel Conductance and
  the Coulomb Blockade for Two Tunnel-Coupled Quantum Dots   We extend earlier results on the relation between the dimensionless tunneling
channel conductance $g$ and the fractional Coulomb blockade peak splitting $f$
for two electrostatically equivalent dots connected by an arbitrary number
$N_{\text{ch}}$ of tunneling channels with bandwidths $W$ much larger than the
two-dot differential charging energy $U_{2}$. By calculating $f$ through second
order in $g$ in the limit of weak coupling ($g \rightarrow 0$), we illuminate
the difference in behavior of the large-$N_{\text{ch}}$ and
small-$N_{\text{ch}}$ regimes and make more plausible extrapolation to the
strong-coupling ($g \rightarrow 1$) limit. For the special case of
$N_{\text{ch}}=2$ and strong coupling, we eliminate an apparent ultraviolet
divergence and obtain the next leading term of an expansion in $(1-g)$. We show
that the results we calculate are independent of such band structure details as
the fraction of occupied fermionic single-particle states in the weak-coupling
theory and the nature of the cut-off in the bosonized strong-coupling theory.
The results agree with calculations for metallic junctions in the
$N_{\text{ch}} \rightarrow \infty$ limit and improve the previous good
agreement with recent two-channel experiments.

15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
2
The categories of this paper are: math
34
The categories of this paper are: chem-ph