Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonperturbative nonlinear effects in the dispersion relations for TE and
  TM plasmons on two-dimensional materials   We analytically obtain the dispersion relations for transverse-electric (TE)
and transverse-magnetic (TM) surface plasmon-polaritons in a nonlinear
two-dimensional (2D) conducting material lying between two Kerr-type dielectric
media. To this end, we use Maxwell's equations within the quasi-electrostatic,
weakly dissipative regime. We show that the wavelength and propagation distance
of surface plasmons decrease due to the nonlinearity of the surrounding
dielectric. In contrast, the effect of the nonlinearity of the 2D material
depends on the signs of the real and imaginary parts of the third-order
conductivity. Notably, the dispersion relations obtained by naively replacing
the permittivity of the dielectric medium by its nonlinear counterpart in the
respective dispersion relations of the linear regime are not accurate. We apply
our analysis to the case of doped graphene and make predictions for the
TM-polarized surface plasmon wavelength and propagation distance.

37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th