Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Influence of scattering on optical response of superconductivity   By using the gauge-invariant kinetic equation, we analytically investigate
the influence of the scattering on the optical properties of superconductors in
the normal-skin-effect region. Both linear and second-order responses are
studied under a multi-cycle terahertz pulse. In the linear regime, we reveal
that the optical absorption $\sigma_{1s}(\omega)$, which origins from the
scattering, exhibits a crossover point at $\omega=2|\Delta|$. Particularly, it
is further shown that when $\omega<2|\Delta|$, $\sigma_{1s}(\omega)$ from the
scattering always exhibits a finite value even at low temperature, in contrast
to the vanishing $\sigma_{1s}(\omega)$ in the anomalous-skin-effect region as
the Mattis-Bardeen theory revealed. In the second-order regime, responses of
the Higgs mode during and after the optical pulse are studied. During the
pulse, we show that the scattering causes a phase shift in the second-order
response of the Higgs mode. Particularly, this phase shift exhibits a
significant $\pi$-jump at $\omega=|\Delta|$, which provides a very clear
feature for the experimental detection. After the pulse, by studying the
damping of the Higgs-mode excitation, we reveal a relaxation mechanism from the
elastic scattering, which shows a monotonic enhancement with the increase of
the impurity density.

28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg