Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Landau level states on a topological insulator thin film   We analyze the four-dimensional Hamiltonian proposed to describe the band
structure of the single-Dirac-cone family of topological insulators in the
presence of a uniform perpendicular magnetic field. Surface Landau level(LL)
states appear, decoupled from the bulk levels and following the quantized
energy dispersion of a purely two-dimensional surface Dirac Hamiltonian. A
small hybridization gap splits the degeneracy of the central n=0 LL with
dependence on the film thickness and the field strength that can be obtained
analytically. Explicit calculation of the spin and charge densities show that
surface LL states are localized within approximately one quintuple layer from
the surface termination. Some new surface-bound LLs are shown to exist at a
higher Landau level index.

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The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
2
The categories of this paper are: math
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an