Link between the photonic and electronic topological phases in artificial graphene

Abstract

In recent years the study of topological phases of matter has emerged as a very exciting field of research, both in photonics and in electronics. However, up to now the electronic and photonic properties have been regarded as totally independent. Here, we establish a link between the electronic and the photonic topological phases of the same material system and theoretically demonstrate that they are intimately related. We propose a realization of the Haldane model as a patterned 2D electron gas and determine its optical response using the Kubo formula. It is shown that the electronic and photonic phase diagrams of the patterned electron gas are strictly related. In particular, the system has a trivial photonic topology when the inversion symmetry is the prevalent broken symmetry, whereas it has a nontrivial photonic topology for a dominant broken time-reversal symmetry, similar to the electronic case. To confirm these predictions, we numerically demonstrate the emergence of topologically protected unidirectional electromagnetic edge-states at the interface with a trivial photonic material.

6 figures, 1 gif animation

References in corpus (9)

• Topological Photonics
• Photonic Analogue of Two-dimensional Topological Insulators and Helical One-Way Edge Transport in Bi-Anisotropic Metamaterials
• Analogs of quantum Hall effect edge states in photonic crystals
• A new electromagnetic mode in graphene
• Engineering artificial graphene in a two-dimensional electron gas
• Bulk-edge correspondence for topological photonic continua
• PTD Symmetry Protected Scattering Anomaly in Optics
• Topological classification of Chern-type insulators with the photonic Green function
• Modal expansions in dispersive material systems with application to quantum optics and topological photonics

Cited by in corpus (13)

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• Topological theory of non-Hermitian photonic systems
• Proof of the bulk-edge correspondence through a link between topological photonics and fluctuation-electrodynamics
• Nonreciprocal and non-Hermitian material response inspired by semiconductor transistors
• Topological classification of Chern-type insulators with the photonic Green function
• Unidirectional Maxwellian Spin Waves
• Photonic analogues of the Haldane and Kane-Mele models
• Quantized Angular Momentum in Topological Optical Systems
• Rotating Spacetime Modulation: Topological Phases and Spacetime Haldane Model
• Emergent Haldane Model and Photon-Valley Locking in Chiral Cavities
• Topological Phases in Fractals: Local Spin Chern Marker in the Sierpinski carpet Kane-Mele-Rashba Model
• Genuine topological Anderson insulator from impurity induced chirality reversal
• Chiral solitary waves in a nonlinear topological insulator model