Fano resonances induced by the topological magnetoelectric effect
- URL: http://arxiv.org/abs/2010.00333v1
- Date: Wed, 30 Sep 2020 15:08:11 GMT
- Title: Fano resonances induced by the topological magnetoelectric effect
- Authors: L. A. Castro-Enriquez and A. Mart\'in-Ruiz
- Abstract summary: We investigate the interaction between a topological insulator nanosphere made of TlBiSe$$ interacting with a CdSe quantum dot.
We find the emergence of Fano resonances which are direct manifestations of the $mathbbZ_2$ invariant of topological insulators.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We investigate the interaction between a topological insulator nanoparticle
and a quantum dot in an impulse magnetic field. Since topological insulators
are nonmagnetic, after the impulse has ended only the localised topological
surface modes, which are quantised in terms of dipolar bosonic modes, thus
coupling dipolarly to the quantum dot. Hence, the hybrid system can be treated
as a single bosonic mode interacting with a two-level system, where the
coupling strength is quantised in terms of the magnetoelectric polarizability.
We implement the interaction of the hybrid with the environment through the
coupling with a continuum reservoir of radiative output modes and a reservoir
of phonon modes. Using the method of Zubarev's Green functions, we derive an
expression for the optical absorption spectrum of the system. We find the
emergence of Fano resonances which are direct manifestations of the
$\mathbb{Z}_{2}$ invariant of topological insulators. We present numerical
results for a topological insulator nanosphere made of TlBiSe$_2$ interacting
with a CdSe quantum dot.
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