Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamically screened Coulomb interaction in the parent compounds of
  hole-doped cuprates, trends and exceptions   Although the cuprate high-temperature superconductors were discovered already
1986 the origin of the pairing mechanism remains elusive. While the doped
compounds are superconducting with high transition temperatures $T_{c}$ the
undoped compounds are insulating due to the strong effective Coulomb
interaction between the Cu $3d$ holes. We investigate the dependence of the
maximum superconducting transition temperature, $T_{c\text{ max}}$, on the
onsite effective Coulomb interaction $U$ using the constrained random-phase
approximation. We focus on the commonly used one-band model of the cuprates,
including only the antibonding combination of the Cu $d_{x^2-y^2}$ and O $p_x$
and $p_y$ orbitals, and find a clear screening dependent trend between the
static value of $U$ and $T_{c\text{ max}}$ for the parent compounds of a large
number of hole-doped cuprates. Our results suggest that superconductivity is
favored by a large onsite Coulomb repulsion. We analyze both the trend in the
static value of $U$ and its frequency dependence in detail and, by comparing to
other works, speculate on the mechanisms behind the trend.

16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con