Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Coulomb and electron-phonon interactions in metals   An accurate and consistent theory of phonons in metals requires that all
long-range Coulomb interactions between charged particles (electrons and ions)
be treated on equal footing. So far, all attempts to deal with this
non-perturbative system were relying on uncontrolled approximations in the
absence of small parameters. In this work, we develop the Diagrammatic Monte
Carlo approach for a two-component Coulomb system that obtains the solution to
this fundamental problem in an approximation free way by computing vertex
corrections from higher-order skeleton graphs. The feasibility of the method is
demonstrated by calculating the spectrum of longitudinal acoustic phonons in a
simple cubic lattice, determining their sound velocity, and obtaining the
phonon spectral densities by analytic continuation of the Matsubara Green's
functions. Final results are checked against the lowest-order fully
self-consistent GW-approximation in both adiabatic and non-adiabatic regimes.

15
The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: stat
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
2
The categories of this paper are: math
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org