Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $p$-orbital density wave with $d$ symmetry in high-$T_c$ cuprate
  superconductors predicted by the renormalization-group + constrained RPA
  theory   The discovery of the charge-density-wave formation in the high-$T_c$ cuprate
superconductors has activated intensive theoretical studies for the pseudogap
states. However, the microscopic origin of the charge-density-wave state has
been unknown so far since the many-body effects beyond the mean-field-level
approximations, called the vertex corrections, are essential. Toward solving
this problem, we employ the recently developed functional renormalization-group
method, by which we can calculate the higher-order vertex corrections in a
systematic and unbiased way with high numerical accuracy. We discover the
critical development of the $p$-orbital-density-wave ($p$-ODW) instability in
the strong-spin-fluctuation region. The obtained $p$-ODW state possesses the
key characteristics of the charge ordering pattern in Bi- and Y-based
superconductors, such as the wave vector parallel to the nearest Cu-Cu
direction, and the $d$-symmetry form factor with the antiphase correlation
between $p_x$ and $p_y$ orbitals in the same unit cell. In addition, from the
observation of the beautiful scaling relation between the spin susceptibility
and the $p$-ODW susceptibility, we conclude that the main driving force of the
density wave is the Aslamazov-Larkin vertex correction that becomes very
singular near the magnetic quantum-critical point.

31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess