Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Plane fractals with chemical surface doping   We propose a way to create effective plane fractals for confined electrons by
chemical surface doping in two-dimensional materials. In particular, for
Sierpinski carpet (SC), we consider the adsorption of hydrogen or fluorine
atoms on monolayer graphene, forming an effective fractional geometry (H-SC and
F-SC). By calculating the spatial distribution of states and the fractal
analysis of quantum conductance fluctuations of H-SC, F-SC, and real SC, we
find there is a consistency of the electronic states in these different
systems. Further optical calculations verified the fractional confinement of
electrons in H-SC and F-SC. Our results indicate that the chemical surface
doping on graphene is an efficient and accessible approach to confine the
electrons roaming in a fractional dimension, and will stimulate further
theoretical and experimental studies of fractals based on two-dimensional
materials.

24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph