Emergence of Type-II Dirac Points in Graphynelike Photonic Lattices
Open accessAbstract
We theoretically demonstrate that a type-II class of tilted Dirac cones can emerge in generalized two-dimensional anisotropic lattice arrangements. This is achieved by introducing a special set of graphynelike exchange bonds by means of which the complete spectrum of the underlying Weyl Hamiltonian can be realized. Our ab initio calculations demonstrate a unique class of eigensolutions corresponding to a type-II class of Dirac fermionic excitations. Based on our approach, one can systematically synthesize a wide range of strongly anisotropic band diagrams having tilted Dirac cones with variable location and orientation. Moreover, we show that asymmetric conical diffraction, as well as edge states, can arise in these configurations. Our results can provide a versatile platform to observe, for the first time, optical transport around type-II Dirac points in two-dimensional optical settings under linear, nonlinear, and non-Hermitian conditions.
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Type-III and Tilted Dirac Cones Emerging from Flat Bands in Photonic Orbital Graphene
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“In most of these cases, the tilted Dirac cones appear as a consequence of band inversions [30,31], a situation in which the magnitude of the tilt cannot be easily controlled.”
BackgroundObserving movement of Dirac cones from single-photon dynamics
Lu, Y.-H., Wang, Y., Chang, Y.-J., Li, Z.-M., Cui, W.-H., Gao, J., Zhou, W.-H., Zheng, H., & Jin, X.-M. (2021) · Physical Review B · doi:10.1103/physrevb.103.064304 · Cited by 7 · see citing works
- Authors
- Pyrialakos, G. G., Nye, N. S., Kantartzis, N. V., & Christodoulides, D. N.
- Affiliations
- Aristotle University of Thessaloniki (GR)
- University of Central Florida (US)
- Corresponding author
- Christodoulides, Demetrios N.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2017-09-15
- Volume
- 119
- Issue
- 11
- Pages
- 113901-113901
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2754712009
- Semantic Scholar
- b388c54d4255a1cfc779c65f5c0424547e0c22df
- Cited by
- 54
- References
- 40
- Citations by year
- 2026: 3 · 2025: 3 · 2024: 7 · 2023: 2 · 2022: 5 · 2021: 5 · 2020: 9 · 2019: 14 · 2018: 6
- FWCI
- 3.97
- Type
- journal article
- Language
- en
- Open access
- Licence
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- Journal of International Crisis and Risk Communication Research (submittedVersion)
- Funders
- National Science Foundation (DMR-1420620)
- Qatar National Research Fund (9-020-1-006)
- Alexander S. Onassis Public Benefit Foundation
- Foundation for Education and European Culture
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Non-Hermitian Physics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Nonlinear Photonic Systems
- Keywords
- tilted Dirac cones, Dirac fermions, edge states, non-Hermitian photonics, nonlinear optics, two-dimensional photonic crystals
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