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Hopf insulators represent an exceptional class of topological matter unanticipated by the periodic table of topological invariants. These systems point to the existence of previously unexplored states of matter with unconventional topology.…

Strongly Correlated Electrons · Physics 2025-12-19 Konstantinos Ladovrechis , Shouvik Sur

Topological edge modes are excitations that are localized at the materials' edges and yet are characterized by a topological invariant defined in the bulk. Such bulk-edge correspondence has enabled the creation of robust electronic,…

Mesoscale and Nanoscale Physics · Physics 2020-11-30 Ananya Ghatak , Martin Brandenbourger , Jasper van Wezel , Corentin Coulais

Topological insulators, featuring bulk-boundary correspondence, have been realized on a large number of noncrystalline materials, among which amorphous network, quasicrystals and fractal lattices are the most prominent ones. By contrast,…

Superconductivity · Physics 2024-05-10 Sourav Manna , Sanjib Kumar Das , Bitan Roy

The topological singularity of the Bloch states close to the Fermi level significantly enhances nonlinear electric responses in topological semimetals. Here, we systematically characterize this enhancement for a large class of topological…

Mesoscale and Nanoscale Physics · Physics 2023-05-22 Junyeong Ahn

The combination of magnetism and topological properties in one material platform is attracting significant attention due to the potential of realizing low power consumption and error-robust electronic devices. Common practice is to start…

Magnetic topological materials, in which the time-reversal symmetry is broken, host various exotic quantum phenomena, including the quantum anomalous Hall effect, axion insulator states, and Majorana fermions. The study of magnetic…

We analyze possible nodal superconducting phases that emerge from a doped nodal-line semimetal. We show that nodal-line superconducting phases are favored by interactions mediated by short-range ferromagnetic fluctuations or Hund's…

Superconductivity · Physics 2023-12-08 Zhenfei Wu , Yuxuan Wang

The discovery of topological semimetal phase in three-dimensional (3D) systems is a new breakthrough in topological material research. Dirac nodal-line semimetal is one of the three topological semimetal phases discovered so far; it is…

Materials Science · Physics 2016-07-06 Jin Hu , Zhijie Tang , Jinyu Liu , Xue Liu , Yanglin Zhu , David Graf , Yanmeng Shi , Shi Che , Chun Ning Lau , Jiang Wei , Zhiqiang Mao

The concept of topological energy bands and their manifestations have been demonstrated in condensed matter systems as a fantastic paradigm toward unprecedented physical phenomena and properties that are robust against disorders. Recent…

Mesoscale and Nanoscale Physics · Physics 2023-03-03 Weiwei Zhu , Weiyin Deng , Yang Liu , Jiuyang Lu , Zhi-Kang Lin , Hai-Xiao Wang , Xueqin Huang , Jian-Hua Jiang , Zhengyou Liu

Non-Hermitian systems exhibit interesting band structures, where novel topological phenomena arise from the existence of exceptional points at which eigenvalues and eigenvectors coalesce. One important open question is how this would…

Mesoscale and Nanoscale Physics · Physics 2023-10-20 Marcus Stålhammar , Cristiane Morais Smith

We report on the occurrence of knotted metallic band structures as stable topological phases in non-Hermitian (NH) systems. These knotted NH metals are characterized by open Fermi surfaces, known in mathematics as Seifert surfaces, that are…

Mesoscale and Nanoscale Physics · Physics 2019-05-01 Johan Carlström , Marcus Stålhammar , Jan Carl Budich , Emil J. Bergholtz

Nodal-line semimetals (NLSMs) harbor a variety of novel physical properties owing to the particularities of the band degeneracies that characterize the spectrum of these materials. In symmetry-enforced NLSMs, band degeneracies, being…

Strongly Correlated Electrons · Physics 2025-08-22 Andressa R. Medeiros-Silva , Mariana Malard , Rodrigo G. Pereira , Thereza Paiva

We explore the topological properties of non-Hermitian nodal-link semimetals with dissipative cold atoms in a three-dimensional optical lattice. We construct a two-band continuum model in three dimensions with a spin-dependent gain and…

Mesoscale and Nanoscale Physics · Physics 2020-08-12 Peng He , Jia-Hao Fu , Dan-Wei Zhang , Shi-Liang Zhu

Owing to the natural compatibility with current semiconductor industry, silicon allotropes with diverse structural and electronic properties provide promising platforms for the next-generation Si-based devices. After screening 230…

Materials Science · Physics 2018-10-30 Zhifeng Liu , Hongli Xin , Li Fu , Yingqiao Liu , Tielei Song , Xin Cui , Guojun Zhao , Jijun Zhao

We experimentally simulate in a photonic setting non-Hermitian (NH) metals characterized by the topological properties of their nodal band structures. Implementing nonunitary time evolution in reciprocal space followed by interferometric…

Quantum Physics · Physics 2021-07-13 Kunkun Wang , Lei Xiao , Jan Carl Budich , Wei Yi , Peng Xue

The interplay between symmetry and topology led to the concept of symmetry-protected topological states, including all non-interacting and weakly interacting topological quantum states. Among them, recently proposed nodal line semimetal…

Materials Science · Physics 2025-03-05 Yongpan Li , Shifeng Qian , Cheng-Cheng Liu

Magnetic topological semimetals (TSMs) allow for an effective control of the topological electronic states by tuning the spin configuration, and therefore are promising materials for next-generation electronic and spintronic applications.…

Photocurrent acts as one of measurable responses of material to light, which has proved itself to be crucial for sensing and energy harvesting. Topological semimetals with gapless energy dispersion and abundant topological surface and bulk…

Mesoscale and Nanoscale Physics · Physics 2023-04-21 Po-Hsin Shih , Thi-Nga Do , Godfrey Gumbs , Danhong Huang , Hsin Lin , Tay-Rong Chang

The topological nodal-line semimetal state, serving as a fertile ground for various topological quantum phases, where a topological insulator, Dirac semimetal, or Weyl semimetal can be realized when the certain protecting symmetry is…

Topological materials exhibit edge-localized scattering-free modes protected by their nontrivial bulk topology through the bulk-edge correspondence in Hermitian systems. While topological phenomena have recently been much investigated in…

Mesoscale and Nanoscale Physics · Physics 2020-11-16 Kazuki Sone , Yuto Ashida , Takahiro Sagawa