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Reliable artificial-intelligence models have the potential to accelerate the discovery of materials with optimal properties for various applications, including superconductivity, catalysis, and thermoelectricity. Advancements in this field…

Materials Science · Physics 2023-06-07 Thomas A. R. Purcell , Matthias Scheffler , Luca M. Ghiringhelli , Christian Carbogno

Topological materials present unconventional electronic properties that make them attractive for both basic science and next-generation technological applications. The majority of currently known topological materials have been discovered…

Materials Science · Physics 2023-02-14 Andrew Ma , Yang Zhang , Thomas Christensen , Hoi Chun Po , Li Jing , Liang Fu , Marin Soljačić

Topological band insulators and (semi-) metals can arise out of atomic insulators when the hopping strength between electrons increases. Such topological phases are separated from the atomic insulator by a bulk gap closing. In this work, we…

Mesoscale and Nanoscale Physics · Physics 2022-04-21 Xiao-Ping Li , Da-Shuai Ma , Cheng-Cheng Liu , Zhi-Ming Yu , Yugui Yao

We have given a summary on our theoretical predictions of three kinds of topological semimetals (TSMs), namely, Dirac semimetal (DSM), Weyl semimetal (WSM) and Node-Line Semimetal (NLSM). TSMs are new states of quantum matters, which are…

Materials Science · Physics 2016-06-30 Hongming Weng , Xi Dai , Zhong Fang

The interplay between interactions and topology in quantum materials is of extensive current interest. Strong correlations are known to be important for insulating topological states, as exemplified by the fractional quantum Hall effect.…

The recent discovery of topological insulators has revived interest in the topological properties of insulating band structures. In this work, we extend the topological classification of insulating band structures to include certain point…

Materials Science · Physics 2011-03-15 Liang Fu

The paradigm of classifying three-dimensional (3D) topological insulators into strong and weak ones (STI and WTI) opens the door for the discovery of various topological phases of matter protected by different symmetries and defined in…

A dataset of 35,608 materials with their topological properties is constructed by combining the density functional theory (DFT) results of Materiae and the Topological Materials Database. Thanks to this, machine-learning approaches are…

Materials Science · Physics 2025-03-21 Yuqing He , Pierre-Paul De Breuck , Hongming Weng , Matteo Giantomassi , Gian-Marco Rignanese

Topological phases of matter$\unicode{x2013}$comprising both insulators and semimetals$\unicode{x2013}$offer great potential for quantum applications, but identifying new candidates remains challenging due to expensive first-principles…

Materials Science · Physics 2026-04-08 Xinyu Xu , Arif Ullah , Ming Yang

Topological photonic crystals have received considerable attention for their ability to manipulate and guide light in unique ways. They are typically designed by hand based on careful analysis of their bands and mode profiles, but recent…

The natural existence of crystalline symmetry in real materials manifests the importance of understanding crystalline symmetry-protected topological (SPT) phases, especially for interacting systems. In this paper, we systematically…

Strongly Correlated Electrons · Physics 2024-06-19 Jian-Hao Zhang , Shang-Qiang Ning , Yang Qi , Zheng-Cheng Gu

Topological semimetals exhibit band crossings near the Fermi energy, which are protected by the nontrivial topological character of the wave functions. In many cases, these topological band degeneracies give rise to exotic surface states…

Mesoscale and Nanoscale Physics · Physics 2018-07-18 Jonathan Zhang , Y. -H. Chan , Ching-Kai Chiu , Maia G. Vergniory , Leslie M. Schoop , Andreas P. Schnyder

Searching for topological insulators/superconductors is a central subject in recent condensed matter physics. As a theoretical aspect, various classification methods of symmetry-protected topological phases have been developed, where the…

Superconductivity · Physics 2021-12-01 Shuntaro Sumita , Youichi Yanase

Heavy fermion materials have recently attracted attention for their potential to combine topological protection with strongly correlated electron physics. To date, the ideas of topological protection have been restricted to the heavy…

Strongly Correlated Electrons · Physics 2017-08-03 Po-Yao Chang , Onur Erten , Piers Coleman

Topological insulators (TIs) represent a novel quantum state of matter, characterized by edge or surface-states, showing up on the topological character of the bulk wave functions. Allowing electrons to move along their surface, but not…

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 properties of electrons in magnetically ordered crystals are of interest both from the viewpoint of realizing novel topological phases, such as magnetic Weyl semimetals, and from the applications perspective of creating energy-efficient…

Strongly Correlated Electrons · Physics 2018-08-07 Haruki Watanabe , Hoi Chun Po , Ashvin Vishwanath

Three-dimensional topological semimetals host a range of interesting quantum phenomena related to band crossing that give rise to Dirac or Weyl fermions, and can be potentially engineered into novel quantum devices. Harvesting the full…

Chiral inorganic crystals, particularly semiconductors with Weyl points near the band edges or semimetals hosting Weyl points at the Fermi level, have attracted considerable interest, yet they remain scarce in existing materials databases.…

Materials Science · Physics 2026-04-10 Jiexi Song , Diwei Shi , Fengyuan Xuan , Chongde Cao

One of the hallmarks of topological insulators is the correspondence between the value of its bulk topological invariant and the number of topologically protected edge modes observed in a finite-sized sample. This bulk-boundary…

Mesoscale and Nanoscale Physics · Physics 2021-05-04 Ana Silva , Jasper van Wezel
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