Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Parity-dependent localization in $N$ strongly coupled chains   Anderson localization of wave-functions at zero energy in quasi-1D systems of
$N$ disordered chains with inter-chain coupling $t$ is examined. Localization
becomes weaker than for the 1D disordered chain ($t=0$) when $t$ is smaller
than the longitudinal hopping $t'=1$, and localization becomes usually much
stronger when $t\gg t'$. This is not so for all $N$. We find "immunity" to
strong localization for open (periodic) lateral boundary conditions when $N$ is
odd (a multiple of four), with localization that is weaker than for $t=0$ and
rather insensitive to $t$ when $t \gg t'$. The peculiar $N$-dependence and a
critical scaling with $N$ is explained by a perturbative treatment in $t'/t$,
and the correspondence to a weakly disordered effective chain is shown. Our
results could be relevant for experimental studies of localization in photonic
waveguide arrays.

21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th