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Recently, the studies of topological corner states (TCSs) are extended from crystals to quasicrystals, which are referred to as higher-order topological quasicrystalline insulators (HOTQIs). However, the TCSs of complete quasi-periodic…

The fundamental, or first, band gap is of unmatched importance in the study of photonic crystals. Here, we address precisely where this gap can be opened in the band structure of three-dimensional photonic crystals. Although strongly…

Topology is now securely established as a means to explore and classify electronic states in crystalline solids. This review provides a gentle but firm introduction to topological electronic band structure suitable for new researchers in…

Strongly Correlated Electrons · Physics 2023-09-28 Andrew T. Boothroyd

The existence of topological interface states is investigated at the boundary between a binary photonic crystal and a quaternary photonic crystal, with each possessing inversion symmetric unit cells. Conditions are established that describe…

Optics · Physics 2019-10-08 Nicholas J. Bianchi , Leonard M. Kahn

In a dilute two-dimensional electron gas, Coulomb interactions can stabilize the formation of a Wigner crystal. Although Wigner crystals are topologically trivial, it has been predicted that electrons in a partially-filled band can break…

Mesoscale and Nanoscale Physics · Physics 2025-03-13 Ruiheng Su , Dacen Waters , Boran Zhou , Kenji Watanabe , Takashi Taniguchi , Ya-Hui Zhang , Matthew Yankowitz , Joshua Folk

We show theoretically that, in the limit of weak dispersion, one-dimensional (1D) binary centrosymmetric photonic crystals can support topological edge modes in all photonic band gaps. By analyzing their bulk band topology, these "harmonic"…

Mesoscale and Nanoscale Physics · Physics 2016-04-05 Ka Hei Choi , C. W. Ling , K. F. Lee , Y. H. Tsang , Kin Hung Fung

Drawing inspiration from bilayer graphene, this paper introduces its photonic analog comprising two stacked graphene-like photonic crystals, that are coupled in the near-field through spoof surface plasmons. Beyond the twist degree of…

In this work, we investigate a two dimensional honeycomb photonic crystal (2D HPC) with C_6 symmetry point group, which is known to demonstrate a double Dirac cone at k=0 of the Brillion zone. Then we design two deformed PCs from the…

Applied Physics · Physics 2020-02-28 J. Hajivandi , H. Kurt

The hallmark of topological insulators is the scatter-free propagation of waves in topologically protected edge channels. This transport is strictly chiral on the outer edge of the medium, and therefore capable of bypassing sharp corners…

Over the last few years, crystalline topology has been used in photonic crystals to realize edge- and corner-localized states that enhance light-matter interactions for potential device applications. However, the band-theoretic approaches…

Optics · Physics 2024-02-23 Alexander Cerjan , Terry A. Loring , Hermann Schulz-Baldes

We show that band topology can dramatically change the photophysics of two-dimensional (2D) semiconductors. For systems in which states near the band extrema are of multiple orbitals character and the spinors describing the orbital…

Mesoscale and Nanoscale Physics · Physics 2018-02-28 Ting Cao , Meng Wu , Steven G. Louie

Topological phase transitions in condensed matter systems have shown extremely rich physics, unveiling such exotic states of matter as topological insulators, superconductors and superfluids. Photonic topological systems open a whole new…

Topological physics in photonic systems have attracted great attentions in recent years. In this work, we theoretically study the one and two dimensional photonic quasicrystal resonator lattices characterized by the first and second Chern…

Mesoscale and Nanoscale Physics · Physics 2015-04-16 Xiao Zhang

Band topology and related spin (or pseudo-spin) physics of photons provide us with a new dimension for manipulating light, which is potentially useful for information communication and data storage. Especially, the quantum spin Hall effect…

Materials Science · Physics 2020-03-03 Biye Xie , Guangxu Su , Hong-Fei Wang , Feng Liu , Lumang Hu , Si-Yuan Yu , Peng Zhan , Ming-Hui Lu , Zhenlin Wang , Yan-Feng Chen

Research on two-dimensional van der Waals materials has demonstrated that the layer degree of freedom can significantly alter the physical properties of materials due to the substantial modification of bulk bands. Inspired by this concept,…

While topological phases have been extensively studied in amorphous systems in recent years, it remains unclear whether the random nature of amorphous materials can give rise to higher-order topological phases that have no crystalline…

Disordered Systems and Neural Networks · Physics 2023-11-15 Yu-Liang Tao , Jiong-Hao Wang , Yong Xu

The first-principles band theory paradigm has been a key player not only in the process of discovering new classes of topologically interesting materials, but also for identifying salient characteristics of topological states, enabling…

Mesoscale and Nanoscale Physics · Physics 2016-08-03 Arun Bansil , Hsin Lin , Tanmoy Das

We predict topological electron crystals driven by the interplay of interlayer Coulomb attraction and topological miniband physics in bilayer graphene--Mott insulator heterostructures. Charge transfer creates a charge neutral, mass…

Mesoscale and Nanoscale Physics · Physics 2026-04-27 Wangqian Miao , Tianyu Qiao , Xue-Yang Song , Yinghai Xu , Yiwei Chen , Lei Wang , Xi Dai

Topological phases of matter is an exotic phenomena in modern condense matter physics, which has attracted much attention due to the unique boundary states and transport properties. Recently, this topological concept in electronic materials…

Quantum Physics · Physics 2021-08-06 Zheng-Yuan Xue , Yong Hu

The study of band topology in photonic crystals was primarily focused on near-field effects, including edge states and high order corner states. However, this work investigated the polarization distribution of radiated fields for photonic…

Optics · Physics 2024-08-27 Zhang Jiawei , Liu Andong , Wang Jin , Dong Zheng-Gao
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