Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum states and localisation of developable Moebius nanostructures   The equilibrium equations for wide, developable, Moebius strips undergoing
large deformations have recently been derived, and solved, numerically. We use
these results to compute the eigenvalues and eigenstates of non-interacting
electrons confined to Moebius strips of linking number up to 1.5 and of
arbitrary width. The inverse participation ratio is used to show that electrons
are increasingly localised to the higher curvature regions of the higher-width
structures, where sharp creases could form channels for particle transport. Our
geometric formulation could be used to study transport properties of Moebius
strip and other components in nanoscale devices.

24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th