Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Investigation of the effective interactions for the Emery model by the
  constrained random-phase approximation and constrained functional
  renormalization group   The effective interaction of downfolded low-energy models for electrons in
solids can be obtained by integrating out the high energy bands away from the
target band near the Fermi level. Here, we apply the constrained random-phase
approximation (cRPA) and constrained functional renormalization group (cfRG),
which can go beyond cRPA by including all one-loop diagrams, to calculate and
compare the effective interactions of the three-band Emery model, which is
often used to investigate cuprate high-temperature superconductors. At half
band filling, we find that the effective interaction increases as the charge
transfer energy ($\Delta_{dp}$) increases and similar behavior is obtained as a
function of the interatomic 2$p$-3$d$ interaction ($U_{dp}$). However, the
effective interaction is more sensitive to $\Delta_{dp}$ than $ U_{dp}$. For
most of the parameter sets, the effective static interaction is overscreened in
cRPA compared to cfRG. The low-energy models at half-filling are solved within
dynamical mean-field theory (DMFT). The results show that despite the different
static interactions, the systems with cRPA and cfRG interaction exhibit a Mott
transition at similar values of $\Delta_{dp}$. We also investigate the
effective interaction as a function of doping. The cfRG effective interaction
decreases as the electron number increases and displays a trend opposite to
that of cRPA. Antiscreening is observed for the hole-doped case. For all the
cases studied, the near-cancellation of the direct particle-hole channel is
observed. This indicates that at least for the downfolding of the onsite
interaction terms, methods beyond cRPA may be required.

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The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
2
The categories of this paper are: math
1
The categories of this paper are: cs
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The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom