Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finite-Size Effects in the Dynamic Conductivity and Faraday Effect of
  Quantum Anomalous Hall Insulators   We theoretically study the finite-size effects in the dynamical response of a
quantum anomalous Hall insulator in the disk geometry. Semi-analytic and
numerical results are obtained for the wavefunctions and energies of the disk
within a continuum Dirac Hamiltonian description subject to a topological
infinite mass boundary condition. Using the Kubo formula, we obtain the
frequency-dependent longitudinal and Hall conductivities and find that optical
transitions between edge states contribute dominantly to the real part of the
dynamic Hall conductivity for frequency values both within and beyond the bulk
band gap. We also find that the topological infinite mass boundary condition
changes the low-frequency Hall conductivity to $ e^2/h $ in a finite-size
system from the well-known value $ e^2/2h $ in an extended system. The
magneto-optical Faraday rotation is then studied as a function of frequency for
the setup of a quantum anomalous Hall insulator mounted on a dielectric
substrate, showing both finite-size effects of the disk and Fabry-P\'erot
resonances due to the substrate. Our work demonstrates the important role
played by the boundary condition in the topological properties of finite-size
systems through its effects on the electronic wavefunctions.

18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat