Indian Journal of Pure and Applied Physics

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Surface State Engineering Using Bulk-Band Geometric Phases: Band Inversion and its Observable Implications in One-Dimensional Photonic Crystals


Affiliations
1 Centre for Lasers and Photonics, Indian Institute of Technology Kanpur, Kalyanpur, Kanpur-208 016, India
2 Department of Physics, Indian Institute of Technology–Roorkee, Uttarakhand-247 667, India
3 CSIR - Central Scientific Instruments Organisation, Chandigarh-160 030, India
4 Department of Physics, Indian Institute of Technology Kanpur, Kalyanpur, Kanpur-208 016, India
 

This work comprehensively investigates possibilities of surface states realization in one-dimensional photonic systems that are terminated with 𝜀-negative and 𝜇-negative bandgap materials. We begin by first fathoming the topological properties of photonic band structure and notice that its bulk properties completely characterize the surface phenomena in all the foreseeable cases. This approach is inspired from topologically non-trivial behavior in low-dimensional condensed matter systems and the ensuing emergence of topologically protected edge states in such systems. Specifically, we will be following the setup of Su-Schrieffer-Heeger model and emulate the topological phenomena in one-dimensional photonic systems with a substantial advantage of relatively less demanding fabrication. More importantly, being distributed systems, the photonic crystal realizations in question further enrich the available parameter space and provide application avenues for topological phenomena. For example, unlike the atomic chains, in the case of photonic crystals, we can achieve the band inversion and topological phase transition without altering the arrangement of constituents. Our investigations primarily focus on exploiting this very aspect of higher-order photonic bandgaps and in this process, we experimentally demonstrate that the bulk-band geometric phases offer a deterministic yet customizable route for surface state engineering.

Keywords

Geometric Phase, Photonic Bandgap, Photonic Crystal, Surface Impedance.
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  • Surface State Engineering Using Bulk-Band Geometric Phases: Band Inversion and its Observable Implications in One-Dimensional Photonic Crystals

Abstract Views: 95  |  PDF Views: 75

Authors

Nitish Kumar Gupta
Centre for Lasers and Photonics, Indian Institute of Technology Kanpur, Kalyanpur, Kanpur-208 016, India
Aditi Chopra
Centre for Lasers and Photonics, Indian Institute of Technology Kanpur, Kalyanpur, Kanpur-208 016, India
Mukesh Kumar
Centre for Lasers and Photonics, Indian Institute of Technology Kanpur, Kalyanpur, Kanpur-208 016, India
Anjani Kumar Tiwari
Department of Physics, Indian Institute of Technology–Roorkee, Uttarakhand-247 667, India
Sudipta Sarkar Pal
CSIR - Central Scientific Instruments Organisation, Chandigarh-160 030, India
Harshawardhan Wanare
Department of Physics, Indian Institute of Technology Kanpur, Kalyanpur, Kanpur-208 016, India
S Anantha Ramakrishna
Department of Physics, Indian Institute of Technology Kanpur, Kalyanpur, Kanpur-208 016, India

Abstract


This work comprehensively investigates possibilities of surface states realization in one-dimensional photonic systems that are terminated with 𝜀-negative and 𝜇-negative bandgap materials. We begin by first fathoming the topological properties of photonic band structure and notice that its bulk properties completely characterize the surface phenomena in all the foreseeable cases. This approach is inspired from topologically non-trivial behavior in low-dimensional condensed matter systems and the ensuing emergence of topologically protected edge states in such systems. Specifically, we will be following the setup of Su-Schrieffer-Heeger model and emulate the topological phenomena in one-dimensional photonic systems with a substantial advantage of relatively less demanding fabrication. More importantly, being distributed systems, the photonic crystal realizations in question further enrich the available parameter space and provide application avenues for topological phenomena. For example, unlike the atomic chains, in the case of photonic crystals, we can achieve the band inversion and topological phase transition without altering the arrangement of constituents. Our investigations primarily focus on exploiting this very aspect of higher-order photonic bandgaps and in this process, we experimentally demonstrate that the bulk-band geometric phases offer a deterministic yet customizable route for surface state engineering.

Keywords


Geometric Phase, Photonic Bandgap, Photonic Crystal, Surface Impedance.

References