Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Superconductivity arising from layer-differentiation in multi-layer
  cuprates   In order to theoretically identify the factors governing superconductivity in
multi-layer cuprates, a three-layer Hubbard model is studied with the
two-particle self-consistent (TPSC) approach so as to incorporate electron
correlations. The linearized Eliashberg equation is then solved for the gap
function in a matrix form to resolve the role of outer CuO$_2$ planes (OPs) and
inner plane (IP). We show that OPs dominate IP in the $d_{x^{2}-y^{2}}$-wave
superconductivity, while IP dominates in the antiferromagnetism. This comes
from an electron correlation effect in that the correlation makes the doping
rates different between OPs and IP (i.e., a self-doping effect), which occurs
in intermediate and strong correlation regimes. Namely, the antiferromagnetic
fluctuations in IP are stronger due to a stronger electron correlation, which
simultaneously reduces the quasiparticle density of states in IP with a
suppressed $d_{x^{2}-y^{2}}$-wave superconductivity. Intriguingly, while the
off-diagonal (inter-layer) elements in the gap function matrix are tiny, {\it
inter-layer pair scattering} processes are in fact at work in enhancing the
superconducting transition temperature $T_{\text{c}}$ through the inter-layer
Green's functions. This actually causes the trilayer system to have higher
$T_{\text{c}}$ than the single-layer in a weak- and intermediate-coupling
regimes. This picture holds for a range of the on-site Hubbard repulsion $U$
that contains those estimated for the cuprates. The present result is
qualitatively consistent with nuclear magnetic resonance experiments in
multi-layer cuprates superconductors.

12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-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
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio