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Topological insulators are bulk semiconductors that manifest in-gap massless Dirac surface states due to the topological bulk-boundary correspondence principle [1-3]. These surface states have been a subject of tremendous ongoing interest,…

Disordered hyperuniform systems are exotic states of matter that completely suppress large-scale density fluctuations like crystals, and yet possess no Bragg peaks similar to liquids or glasses. Such systems have been discovered in a…

Soft Condensed Matter · Physics 2021-11-10 Duyu Chen , Yu Zheng , Yang Jiao

The last several decades have seen significant advances in the theoretical modeling of materials within the fields of solid-state physics and materials science, but many methods commonly applied to this problem struggle to capture strong…

Strongly Correlated Electrons · Physics 2025-04-07 Anna O. Schouten , Simon Ewing , David A. Mazziotti

The interaction of electrons with a periodic potential of atoms in crystalline solids gives rise to band structure. The band structure of existing materials can be measured by photoemission spectroscopy and accurately understood in terms of…

Chemists and material scientists have often focused on the properties of previously reported compounds, leaving out numerous unreported but chemically plausible compounds that could have interesting properties. For example, the 18-valence…

Altermagnets are a recently discovered class of magnetic materials that combine a collinear, zero-magnetization spin structure, characteristic of antiferromagnets, with spin-split electronic bands, a hallmark of ferromagnets. This unique…

Mesoscale and Nanoscale Physics · Physics 2026-05-29 Rui Chen , Bin Zhou , Dong-Hui Xu

Topological nodal-line semimetals represent a unique class of materials with intriguing electronic structures and rich of symmetries, hosting electronic states with nontrivial topological properties. Among these, ZrAs$_2$ stands out,…

We overview recent developments of electronic orderings and associated cross correlations in condensed matter physics based on a complete set of multipole representations (electric, magnetic, electric toroidal, and magnetic toroidal…

Strongly Correlated Electrons · Physics 2024-12-06 Satoru Hayami , Hiroaki Kusunose

Studies have shown that quantum states reside in a Hilbert space bundle. When a quantum system depends on continuous external parameters, these parameters define additional dimensions in the base space of the bundle. While much of the…

Quantum Physics · Physics 2025-07-10 Chia-Yi Ju , Szu-Ming Chen

Superconductors with nontrivial band structure topology represent a class of materials with unconventional and potentially useful properties. Recent years have seen much success in creating artificial hybrid structures exhibiting main…

Topological semimetals are a new class of metallic materials, which exist at band fillings that ordinarily correspond to insulators or compensated accidental semimetals with zero Luttinger volume. Their metallicity is a result of nontrivial…

Strongly Correlated Electrons · Physics 2021-11-05 Lei Gioia , Chong Wang , A. A. Burkov

The existence of bound states in quantum mechanics with no classical counterpart has been a subject of interest for a long time. Cross-wires and cavities connected to infinite leads are typical examples in which open geometries with bulges…

Quantum Physics · Physics 2012-01-18 Emerson Sadurni

The purpose of the present paper is to clarify, as far as it is possible, the overall picture of experimental results in the field of non-conventional phenomena in nuclear matter published in scientific literature, accumulated in the last…

General Physics · Physics 2023-08-29 Stefano Bellucci , Fabio Cardone , Fabio Pistella

Topological materials have become the focus of intense research in recent years, since they exhibit fundamentally new physical phenomena with potential applications for novel devices and quantum information technology. One of the hallmarks…

Mesoscale and Nanoscale Physics · Physics 2016-09-01 Ching-Kai Chiu , Jeffrey C. Y. Teo , Andreas P. Schnyder , Shinsei Ryu

Unmovable nodal points (UNP) and lines (UNL) are band crossings which positions in the Brillouin zone are unaltered by symmetry preserving perturbations. Not only positions but also the band structure in the vicinity is determined by the…

Materials Science · Physics 2023-05-04 V. Damljanovic , N. Lazic

In this article, we provide a pedagogical review of the theory of topological quantum chemistry and topological crystalline insulators. We begin with an overview of the properties of crystal symmetry groups in position and momentum space.…

Mesoscale and Nanoscale Physics · Physics 2021-02-15 Jennifer Cano , Barry Bradlyn

Topological quantum materials have emerged as a frontier in condensed matter physics as well as in materials science, with intriguing electronic states that are robust to perturbations. Among the diverse structural motifs, kagome, chiral,…

In this paper, we propose a new type of bulk-boundary correspondence as a generic approach to theoretically and experimentally detect fragile topological states. When the fragile phase can be written as a difference of a trivial atomic…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 Zhi-Da Song , Luis Elcoro , B. Andrei Bernevig

We present a real-space view of one-dimensional (1D) to three-dimensional (3D) topological materials with 13 representative samples selected from each class, including 1D trans-polyacetylene, two-dimensional (2D) graphene, and 3D…

Strongly Correlated Electrons · Physics 2019-02-08 F. C. Chou

In nature, most materials are composed of atoms with periodic structures. Hence, it's impossible to introduce topological structures into their lattice compose, because the atoms as basic blocks cannot be modulated. However, the lattice…

Mesoscale and Nanoscale Physics · Physics 2020-10-06 Wenjin Zhang , Ziyuan Meng , Zidong Zhang , Ke Bi , Runhua Fan , Yi Du , Weichang Hao