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Building blocks of topological band theory for photonic crystals
Yoonseok Hwang, Vaibhav Gupta, Antonio Morales-Pérez +6
We derive a framework for classifying topological bands in three-dimensional photonic band structures, where the zero frequency polarization singularity implied by Maxwell's equati…
Axion Topology in Photonic Crystal Domain Walls
Chiara Devescovi, Antonio Morales-Pérez, Yoonseok Hwang +6
Axion insulators are 3D magnetic higher-order topological insulators protected by inversion-symmetry that exhibit hinge-localized chiral channels and induce quantized topological m…
Transversality-Enforced Tight-Binding Models for 3D Photonic Crystals aided by Topological Quantum Chemistry
Antonio Morales-Pérez, Chiara Devescovi, Yoonseok Hwang +5
Tight-binding models can accurately replicate the band structure and topology of crystalline systems. They have been widely used in solid-state physics due to their versatility and…
Vectorial Bulk-Boundary Correspondence for 3D Photonic Chern Insulators
Chiara Devescovi, Mikel Garcia-Diez, Barry Bradlyn +3
In 2D Chern insulators (2D CI), the topology of the bulk states is captured by a topological invariant, the Chern number. The scalar bulk-boundary correspondence (sBBC) relates the…
Energy density as a probe of band representations in photonic crystals
M. Blanco de Paz, M. A. J. Herrera, P. Arroyo Huidobro +6
Topological Quantum Chemistry (TQC) has recently emerged as a instrumental tool to characterize the topological nature of both fermionic and bosonic band structures. TQC is based o…
Wannier Function Methods for Topological Modes in 1D Photonic Crystals
Vaibhav Gupta, Barry Bradlyn
In this work, we use Wannier functions to analyze topological phase transitions in one dimensional photonic crystals. We first review the construction of exponentially localized Wa…