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Topological photonics has emerged recently as a novel approach for realizing robust optical circuitry, and the study of nonlinear effects in topological photonics is expected to open the door for tunability of photonic structures with…

Optics · Physics 2019-12-12 Daria Smirnova , Lev Smirnov , Daniel Leykam , Yuri Kivshar

Motivated by the recent theoretical and experimental progress in implementing topological orders with photons, we analyze photonic systems with different topologies and present a scheme to probe their topological features. Specifically, we…

Optics · Physics 2014-06-17 Mohammad Hafezi

We computed the phase diagram of the zigzag graphene nanoribbons as a function of on-site repulsion, doping, and disorder strength. The topologically ordered phase undergoes topological phase transitions into crossover phases, which are new…

Strongly Correlated Electrons · Physics 2024-04-08 Hoang Anh Le , In Hwan Lee , Young Heon Kim , S. -R. Eric Yang

A new class of phenomena stemming from topological states of quantum matter has recently found a variety of analogies in classical systems. Spin-locking and one-way propagation have been shown to drastically alter our view on scattering of…

We report the experimental observation of the periodic switching of topological edge states between two dimerized fs-laser written waveguide arrays. Switching occurs due to the overlap of the modal fields of the edge states from topological…

Topological states enable robust transport within disorder-rich media through integer invariants inextricably tied to the transmission of light, sound, or electrons. However, the challenge remains to exploit topological protection in a…

We explore the interplay of disorder and topological phenomena in honeycomb lattices of atoms coupled by the electromagnetic field. On the one hand, disorder can trigger transitions between distinct topological phases and drive the lattice…

Quantum Physics · Physics 2022-04-22 S. E. Skipetrov , P. Wulles

Edge structure plays an essential role in the nature of electronic states in graphene nanoribbons. By focusing on the interplay between this feature and non-trivial topology in the domain of the Dirac confinement problem, this paper…

Mesoscale and Nanoscale Physics · Physics 2017-07-24 J. F. O de Souza , Claudio Furtado

Topological edge states in systems of two (or more) dimensions offer scattering-free transport, exhibiting robustness to inhomogeneities and disorder. In a different domain, time-modulated systems, such as photonic time crystals (PTCs),…

Rydberg tweezer arrays provide a platform for realizing spin-1/2 Hamiltonians with long-range tunneling that decays as a power law with distance. We numerically investigate the effects of positional disorder and dimerization on the…

Disordered Systems and Neural Networks · Physics 2026-02-26 Maksym Prodius , Adith Sai Aramthottil , Jakub Zakrzewski

We report that equidistant 1D arrays of thin-film Lithium Niobate nano-waveguides generically support topological edge states. Unlike conventional coupled-waveguide topological systems, the topological properties of these arrays are…

Optics · Physics 2023-05-02 Andrey V. Gorbach , Jesper Beer , Anton Souslov

We address the co-existence of massless and massive topological edge states at the interface between two materials with different topological phases. We modify the well known Bernevig-Hughes-Zhang model to introduce a smooth function…

Mesoscale and Nanoscale Physics · Physics 2020-02-26 Tineke L. van den Berg , M. Reyes Calvo , Dario Bercioux

We investigate the spectrum of finite-length carbon nanotubes in the presence of onsite and nearest-neighbor superconducting pairing terms. A one-dimensional ladder-type lattice model is developed to explore the low-energy spectrum and the…

Mesoscale and Nanoscale Physics · Physics 2017-09-20 W. Izumida , L. Milz , M. Marganska , M. Grifoni

We numerically verify and analytically prove a winding number invariant that correctly predicts the number of edge states in one-dimensional, nearest-neighbor (between unit cells), two-band models with any complex couplings and open…

Mesoscale and Nanoscale Physics · Physics 2025-05-28 Janet Zhong , Heming Wang , Alexander N Poddubny , Shanhui Fan

We investigate topological edge states in one-dimensional off-diagonal mosaic lattices, where nearest-neighbor hopping amplitudes are modulated periodically with period $\kappa>1$. Analytically, we demonstrate that discrete edge states…

Optics · Physics 2025-10-17 Ba Phi Nguyen , Kihong Kim

Topological phases of matter are generally characterized by topological properties of energy bands of a system. Their transitions under preserved symmetries occur through closing a gap of energy bands, leading to topologically protected…

Mesoscale and Nanoscale Physics · Physics 2020-04-29 Yan-Bin Yang , Kai Li , Yong Xu

Topological lasers have been intensively investigated as a strong candidate for robust single-mode lasers. A typical topological laser employs a single-mode topological edge state, which appears deterministically in a designed topological…

Topological lasers based on topologically protected edge states offer unique features and enhanced robustness of operation in comparison with conventional lasers, even in the presence of disorder, edge deformation, and localized defects.…

Topological lasers and random lasers embody two contrasting strategies for disorder management in photonics: the former suppresses disorder via protected edge transport, while the latter exploits multiple scattering for feedback. Here, we…

Optics · Physics 2026-04-06 Hang-Zheng Shen , Xian-Hao Wei , Xi-Wang Luo , Zheng-Wei Zhou

Topological photonics holds the promise for enhanced robustness of light localization and propagation enabled by the global symmetries of the system. While traditional designs of topological structures rely on lattice symmetries, there is…

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