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Topological Dirac and Weyl semimetals not only host quasiparticles analogous to the elementary fermionic particles in high-energy physics, but also have nontrivial band topology manifested by exotic Fermi arcs on the surface. Recent…

Lithium, a prototypical simple metal under ambient conditions, has a surprisingly rich phase diagram under pressure, taking up several structures with reduced symmetry, low coordination numbers, and even semiconducting character with…

Materials Science · Physics 2019-04-26 Stephanie A. Mack , Sinéad M. Griffin , Jeffrey B. Neaton

We demonstrate that multiple higher-order topological transitions can be triggered via the continuous change of the geometry in kagome photonic crystals composed of three dielectric rods. By tuning a single geometry parameter, the photonic…

Optics · Physics 2021-09-01 Hai-Xiao Wang , Li Liang , Bin Jiang , Junhui Hu , Xiancong Lu , Jian-Hua Jiang

We investigate the topological electronic properties of the $K_4$ crystal by constructing a tight-binding model. The bulk band structure hosts Weyl nodes with higher and conventional chiralities ($\chi = \pm 2$ and $\chi = \pm 1$) located…

Mesoscale and Nanoscale Physics · Physics 2026-02-09 Shoya Yoshida , Katsuhiro Takahashi , Katsunori Wakabayashi

The Weyl semimetal phase is a recently discovered topological quantum state of matter characterized by the presence of topologically protected degeneracies near the Fermi level. These degeneracies are the source of exotic phenomena,…

Higher Berry phase has recently been proposed to study the topology of the space of gapped many-body quantum systems. In this work, we develop a boundary-scattering approach to detect higher Berry phases in one-dimensional gapped…

Strongly Correlated Electrons · Physics 2026-02-27 Chih-Yu Lo , Xueda Wen

Photonic modes exhibiting a polarization winding akin to a vortex possess an integer topological charge. Lasing with topological charge 1 or 2 can be realized in periodic lattices of up to six-fold rotational symmetry. Higher order charges…

The interplay of topology and symmetry in a material's band structure may result in various patterns of topological states of different dimensionality on the boundary of a crystal. The protection of these "higher-order" boundary states…

Mesoscale and Nanoscale Physics · Physics 2020-08-20 Luka Trifunovic , Piet W. Brouwer

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

Topological materials are defined by the correspondence between bulk topology and boundary states, yet this correspondence becomes enigmatic on low-symmetry surfaces where bulk and surface periodicities are inherently mismatched. Here we…

Topological insulators and topological superconductors are distinguished by their bulk phase transitions and gapless states at a sharp boundary with the vacuum. Quasicrystals have recently been found to be topologically nontrivial. In…

Mesoscale and Nanoscale Physics · Physics 2013-02-18 Mor Verbin , Oded Zilberberg , Yaacov E. Kraus , Yoav Lahini , Yaron Silberberg

Chirality in integrated quantum photonics has emerged as a promising route towards achieving scalable quantum technologies with quantum nonlinearity effects. Topological photonic waveguides, which utilize helical optical modes, have been…

Weyl semimetals are expected to open up new horizons in physics and materials science because they provide the first realization of Weyl fermions and exhibit protected Fermi arc surface states. However, they had been found to be extremely…

Bulk-edge correspondence, with quantized bulk topology leading to protected edge states, is a hallmark of topological states of matter and has been experimentally observed in electronic, atomic, photonic, and many other systems. While…

Topological materials are recently regarded as the idea catalysts due to the protected surface metallic states and high carrier mobility, however the fundamental mechanism and the underlying relationship between the catalytic performance…

Materials Science · Physics 2023-01-19 Weizhen Meng , Xiaoming Zhang , Ying Liu , Xuefang Dai , Guodong Liu , Liangzhi Kou

The discovery of topological phases of matter and topological boundary states had tremendous impact on condensed matter physics and photonics, where topological phases are defined via energy bands, giving rise to topological band theory.…

We report on a universal topological dichroism of chiral three-dimensional systems in response to the chirality of light. We show that chiral topological invariants result in integer-quantized dichroic excitation rate differences. Moreover,…

Mesoscale and Nanoscale Physics · Physics 2026-03-31 Wojciech J. Jankowski , Giandomenico Palumbo , Robert-Jan Slager

Observation of topological phases beyond two-dimension (2D) has been an open challenge for ultracold atoms. Here, we realize for the first time a 3D spin-orbit coupled nodal-line semimetal in an optical lattice and observe the bulk line…

Quantum Gases · Physics 2019-08-01 Bo Song , Chengdong He , Sen Niu , Long Zhang , Zejian Ren , Xiong-Jun Liu , Gyu-Boong Jo

Recent advanced experimental implementations of optical lattices with highly tunable geometry open up new regimes for quantum many-body states of matter that previously had not been accessible. Here we introduce a symmetry-based method of…

Quantum Gases · Physics 2021-01-12 Maksims Arzamasovs , Shuai Li , W. Vincent Liu , Bo Liu

Topological materials discovery has evolved at a rapid pace over the past 15 years following the identification of the first nonmagnetic topological insulators (TIs), topological crystalline insulators (TCIs), and 3D topological semimetals…

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