Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Coherence and superconductivity in coupled one-dimensional chains: a
  case study of YBa$_{2}$Cu$_{3}$O$_{y}$   We report the infrared (IR) response of Cu-O chains in the high-$T_{c}$
superconductor YBa$_{2}$Cu$_{3}$O$_{y}$ over the doping range spanning $%
y=6.28-6.75$. We find evidence for a power law scaling at mid-IR frequencies
consistent with predictions for Tomonaga-Luttinger liquid, thus supporting the
notion of one-dimensional transport in the chains. We analyze the role of
coupling to the CuO$_{2}$ planes in establishing metallicity and
superconductivity in disordered chain fragments.

11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph