Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Superconductivity near a nematic quantum critical point -- the interplay
  between hot and lukewarm regions   We present a strong coupling dynamical theory of the superconducting
transition in a metal near a QCP towards $Q = 0$ nematic order. We use a
fermion-boson model, in which we treat the ratio of effective boson-fermion
coupling and the Fermi energy as a small parameter $\lambda$. We solve, both
analytically and numerically, the linearized Eliashberg equation. Our solution
takes into account both strong fluctuations at small momentum transfers $\sim
\lambda k_F$ and weaker fluctuations at large momentum transfers. The strong
fluctuations determine $T_c$, which is of order $\lambda^2 E_F$ for both s- and
d- wave pairing. The weaker fluctuations determine the angular structure of the
superconducting order parameter $F(\theta_k)$ along the Fermi surface,
separating between hot and lukewarm regions. In the hot regions $F(\theta_k)$
is largest and approximately constant. Beyond the hot region, whose width is
$\theta_h\sim\lambda^{1/3}$, $F(\theta_k)$ drops by a factor $\lambda^{4/3}$.
The s- and d- wave states are not degenerate but the relative difference
$(T_c^s-T_c^d)/T_c^s\sim\lambda^2$ is small.

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The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph