Optical response of a topological-insulator--quantum-dot hybrid
interacting with a probe electric field
- URL: http://arxiv.org/abs/2007.06145v1
- Date: Mon, 13 Jul 2020 01:24:53 GMT
- Title: Optical response of a topological-insulator--quantum-dot hybrid
interacting with a probe electric field
- Authors: L. A. Castro-Enriquez, L. F. Quezada, and A. Mart\'in-Ruiz
- Abstract summary: We study the interaction between a topological insulator nanoparticles and a quantum dot subject to an applied electric field.
The optical absorption spectrum exhibits Fano resonances with a line shape that strongly depends on the polarization of the electric field.
Our results can also be applied to nontopological magnetoelectric materials such as Cr$_2$O$_3$.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We study the interaction between a topological insulator nanoparticle and a
quantum dot subject to an applied electric field. The electromagnetic response
of the topological insulator is derived from axion electrodynamics in the
quasistatic approximation. Localized modes are quantized in terms of dipolar
bosonic modes, which couples dipolarly to the quantum dot. Hence, we treat the
hybrid as a two-level system interacting with a single bosonic mode, where the
coupling strength encodes the information concerning the nontrivial topology of
the nanoparticle. The interaction of the hybrid with the environment is
implemented through the coupling with a continuum reservoir of radiative output
modes and a reservoir of phonon modes. In particular, we use the method of
Zubarev's Green functions to derive an expression for the optical absorption
spectrum of the system. We apply our results to a realistic system which
consists of a topological insulator nanoparticle made of TlBiSe$_{2}$
interacting with a cadmium selenide quantum dot, both immersed in a polymer
layer such as poly(methyl methacrylate). The optical absorption spectrum
exhibits Fano resonances with a line shape that strongly depends on the
polarization of the electric field as well as on the topological
magnetoelectric polarizability $\theta$. Our results and methods can also be
applied to nontopological magnetoelectric materials such as Cr$_{2}$O$_{3}$.
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