Optical response of a topological-insulator--quantum-dot hybrid interacting with a probe electric field

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${}_3$.

arXiv commentAccepted for publication in Physical Review A

References in corpus (44)

• Topological Insulators
• Topological insulators and superconductors
• Topological Insulators in Three Dimensions
• Topological Field Theory of Time-Reversal Invariant Insulators
• Fano resonances in nanoscale structures
• Topological invariants of time-reversal-invariant band structures
• Prediction and observation of the first antiferromagnetic topological insulator
• Seeing the magnetic monopole through the mirror of topological surface states
• Magnetoelectric polarizability and axion electrodynamics in crystalline insulators
• Aharonov-Bohm interference in topological insulator nanoribbons
• Experimental realization of an intrinsic magnetic topological insulator
• Magnetic impurities on the surface of a topological insulator
• Chiral anomaly and transport in Weyl metals
• Optical properties of coupled metal-semiconductor and metal-molecule nanocrystal complexes: the role of multipole effects
• Direct Evidence for the Dirac-Cone Topological Surface States in Ternary Chalcogenide TlBiSe2
• Topological Fano Resonances
• Tunable Casimir repulsion with three dimensional topological insulators
• Observation of the universal magnetoelectric effect in a 3D topological insulator
• One-dimensional helical transport in topological insulator nanowire interferometers
• Aharonov-Bohm Oscillations in a Quasi-Ballistic 3D Topological Insulator Nanowire
• Magnetic field induced helical mode and topological transitions in a quasi-ballistic topological insulator nanoribbon with circumferentially quantized surface state sub-bands
• Electric-Magnetic Duality and Topological Insulators
• Quasi-ballistic transport of Dirac fermions in a Bi2Se3 nanowire
• Quantum dynamics of two quantum dots coupled through localized plasmons: An intuitive and accurate quantum optics approach using quasinormal modes
• Green's function approach to Chern-Simons extended electrodynamics: an effective theory describing topological insulators
• Relativistic analysis of magnetoelectric crystals: extracting a new 4-dimensional P odd and T odd pseudoscalar from Cr_2 O_3 data
• Topological insulator quantum dot with tunable barriers
• A Green's function approach to the Casimir effect on topological insulators with planar symmetry
• Electromagnetic description of three-dimensional time-reversal invariant ponderable topological insulators
• A modern review of the two-level approximation
• Self-assembled Bismuth Selenide (Bi2Se3) quantum dots grown by molecular beam epitaxy
• The Electromagnetic Green's Function for Layered Topological Insulators
• Introduction to Quantum Optics
• Spherical topological-insulator nanoparticles: Quantum size effects and optical transitions
• Reversed electromagnetic Vavilov-Čerenkov radiation in naturally existing magnetoelectric media
• Magnetoelectric effect in cylindrical topological insulators
• Interaction of a hydrogenlike ion with a planar topological insulator
• Optical properties of topological insulator Bragg gratings: Faraday rotation enhancement for TM polarized light at large incidence angles
• Topological insulator ring with magnetic impurities
• Magnetoelectric effect of a conducting sphere near a planar topological insulator
• Dynamics of a Rydberg hydrogen atom near a topologically insulating surface
• Determination of the quantized topological magneto-electric effect in topological insulators from Rayleigh scattering
• Geometrically induced reversion of Hall current in a topological insulator cavity
• Exact solution of the Schrödinger equation for an hydrogen atom at the interface between the vacuum and a topologically insulating surface

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