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The Berry phase understanding of electronic properties has attracted special interest in condensed matter physics, leading to phenomena such as the anomalous Hall effect and the topological Hall effect. A non-vanishing Berry phase, induced…

We have laid out the results of a rigorous theoretical investigation into the response of electron dressed states, i.e., interacting Floquet states arising from the off-resonant coupling of Dirac spin-1 electrons in the $\alpha$-$T_3$…

Mesoscale and Nanoscale Physics · Physics 2019-05-29 Andrii Iurov , Godfrey Gumbs , Danhong Huang

Higgs spectroscopy, the study of Higgs bosons of a superconductor, is an emerging field in studying superconductivity. Here we show that the Berry curvature and the quantum metric of bands play a central role in the Higgs mode generation.…

Superconductivity · Physics 2021-11-16 Kristian Hauser A. Villegas , Bo Yang

Analytical calculations and micromagnetic simulations are used to determine the Berry curvature and topological Hall effect (THE) due to conduction electrons in small ferromagnetic particles. Our focus is on small particles of…

The topological Hall effect (THE) of electrons in skyrmion crystals is strongly related to the quantum Hall effect (QHE) on lattices. This relation suggests to revisit the QHE because its Hall conductivity can be unconventionally quantized.…

Strongly Correlated Electrons · Physics 2017-10-17 Börge Göbel , Alexander Mook , Jürgen Henk , Ingrid Mertig

Cutting a honeycomb lattice (HCL) can end up with three types of edges (zigzag, bearded and armchair), as is well known in the study of graphene edge states. Here we theoretically investigate and experimentally demonstrate a class of…

Optics · Physics 2023-07-19 Shiqi Xia , Yongsheng Liang , Liqin Tang , Daohong Song , Jingjun Xu , Zhigang Chen

Topological edge solitons that bifurcate and inherit topological protection from linear edge states and, therefore, demonstrate immunity to disorder and defects upon propagation, attract considerable attention in a rapidly growing field of…

Under symmetry breaking, a three-dimensional nodal-line semimetal can turn into a topological insulator or Weyl semimetal, accompanied by the generation of momentum-space Berry curvature. We develop a theory that unifies their circular…

Materials Science · Physics 2018-01-31 Ying Liu , Shengyuan A. Yang , Fan Zhang

We show that topological nodal points can emerge in photonic crystal possessing mirror symmetry. The mechanism of generating topological nodal points is discussed in a two-dimensional photonic square lattice, in which four topological nodal…

Optics · Physics 2015-05-22 Wen-Yu He , C. T. Chan

Berry phase and Berry curvature play a key role in the development of topology in physics and do contribute to the transport properties in solid state systems. In this paper, we report the finding of novel nonzero Hall effect in topological…

Mesoscale and Nanoscale Physics · Physics 2020-12-22 Jun Ge , Da Ma , Yanzhao Liu , Huichao Wang , Yanan Li , Jiawei Luo , Tianchuang Luo , Ying Xing , Jiaqiang Yan , David Mandrus , Haiwen Liu , X. C. Xie , Jian Wang

The physics related to Berry curvature is now a central research topic in condensed matter physics. The Berry curvature dipole (BCD) is a significant and intriguing condensed matter phenomenon that involves inversion symmetry breaking.…

Mesoscale and Nanoscale Physics · Physics 2023-03-03 T. Nishijima , T. Watanabe , H. Sekiguchi , Y. Ando , E. Shigematsu , R. Ohshima , S. Kuroda , M. Shiraishi

We analyze spontaneous parametric down-conversion in various experimentally feasible 1D quadratic nonlinear waveguide arrays, with emphasis on the relationship between the lattice's topological invariants and the biphoton correlations.…

Haldane predicted an analog of the Integer Quantum Hall Effect in gyrotropic photonic crystals, where the net number of electromagnetic edge modes moving left-to-right is given by a bulk Chern number. His prediction --- topological effects…

Mathematical Physics · Physics 2018-06-21 Giuseppe De Nittis , Max Lein

Cr$_2$Te$_3$ is a ferromagnetic, quasi-two-dimensional layered material with perpendicular magnetic anisotropy, strong spin-orbit coupling, and non-trivial band topology. The non-trivial topology results in an intrinsic anomalous Hall…

Materials Science · Physics 2024-04-04 Sohee Kwon , Yuhang Liu , Hang Chi , Gen Yin , Mahesh R. Neupane , Roger K. Lake

Elastic valley metamaterials offer an excellent platform to manipulate elastic waves and have potential applications in energy harvesting and elastography. Here we introduce a series of strategies to realize topological transition in spiral…

Applied Physics · Physics 2021-02-03 Shuaifeng Li , Jinkyu Yang

We get an anomalous Hall metallic state in the Honeycomb lattice with nearest neighbors only arising as a spontaneously broken symmetry state from a local nearest neighbor Coulomb interaction V . The key ingredient is to enlarge the unit…

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

We investigate the bulk-boundary correspondence for massless Dirac fermion in $\alpha$-${T}_3$ lattice where the Berry phase can be continuously tuned from $\pi $ (graphene) to $0$ ($T_3$ or dice lattice) without modifying the energy…

Mesoscale and Nanoscale Physics · Physics 2024-06-27 F. R. Pratama , Takeshi Nakanishi

In an atomic vapor, a honeycomb lattice can be constructed by utilizing the three-beam interference method. In the method, the interference of the three beams splits the dressed energy level periodically, forming a periodic refractive index…

Optics · Physics 2015-10-21 Yiqi Zhang , Xing Liu , Milivoj R. Belić , Zhenkun Wu , Yanpeng Zhang

Breaking parity (P) symmetry in C$_6$ symmetric crystals is a common routine to implement a valley-topological phase. At an interface between two crystals of opposite valley phases, the so-called valley topological edge states emerge, and…

Optics · Physics 2023-06-12 Tianyuan Liu , Wei Yan , Min Qiu
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