Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scattering and transport properties of tight-binding random networks   We study numerically scattering and transport statistical properties of
tight-binding random networks characterized by the number of nodes $N$ and the
average connectivity $\alpha$. We use a scattering approach to electronic
transport and concentrate on the case of a small number of single-channel
attached leads. We observe a smooth crossover from insulating to metallic
behavior in the average scattering matrix elements $\bra |S_{mn}|^2 \ket$, the
conductance probability distribution $w(T)$, the average conductance $\bra T
\ket$, the shot noise power $P$, and the elastic enhancement factor $F$ by
varying $\alpha$ from small ($\alpha \to 0$) to large ($\alpha \to 1$) values.
We also show that all these quantities are invariant for fixed $\xi=\alpha N$.
Moreover, we proposes a heuristic and universal relation between $\bra
|S_{mn}|^2 \ket$, $\bra T \ket$, and $P$ and the disorder parameter $\xi$.

25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an