Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Polaronic effects in monolayer black phosphorus on polar substrates   We investigate the effect of charge carrier interaction with surface optical
phonons on the band properties of monolayer black phosphorus induced by polar
substrates. We develop an analytical method based on the Lee-Low-Pines theory
to calculate the spectrum of Fr\"ohlich type continuum Hamiltonian in the
long-wavelength limit. We examine the modification of a band gap and
renormalization of effective masses due to the substrate-related polaronic
effect. Our results show that an energy gap in supported monolayer black
phosphorus is enlarged depending on a particular substrate and the interlayer
distance, $z$. Among the substrate considered, the largest gap broadening at $
z=2.5$ \AA{} is observed for the Al$_{2} $O$_{3} $ substrate, which is found to
be $ \sim 50$ meV. Carrier-phonon coupling also renormalizes the effective
masses which is more pronounced along the zigzag direction. Anisotropy of the
effective masses becomes stronger by the influence of the polaronic effect
corresponding to direction-dependent carrier-phonon coupling. We conclude that
substrate phonons have a non-negligible effect on the static band properties of
monolayer black phosphorus, which may be further exploited in its experimental
and theoretical studies.

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The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th