Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The electron-phonon theory of superconductors: Tc map and vertex
  correction   The strong coupling Eliashberg theory plus vertex correction is used to
calculate maps of transition temperature (Tc) in parameter-space characterizing
superconductivity. Based on these Tc maps, crossover behaviors are found when
electron-phonon interaction increases from weak-coupling region to strong
coupling region. Especially, the combined interaction of vertex correction and
Coulomb interaction can efficiently depress Tc from extremely high values in
standard strong-coupling theory to reasonable values found in experiments and
successfully explain the doing-dependent Tc of cuprate superconductors. The
strong non-adiabatic effect is the barrier for high-Tc in compounds with
compositions of light atoms and with high phonon frequencies.

9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
2
The categories of this paper are: math
15
The categories of this paper are: nucl-ex