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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,…

Topology is a fundamental aspect of quantum physics, and it has led to key breakthroughs and results in various fields of quantum materials. In condensed matters, this has culminated in the recent discovery of symmetry-protected topological…

Materials Science · Physics 2023-10-24 Baokai Wang , Yi-Chun Hung , Xiaoting Zhou , Tzen Ong , Hsin Lin

There are two prominent applications of the mathematical concept of topology to the physics of materials: band topology, which classifies different topological insulators and semimetals, and topological defects that represent immutable…

Materials Science · Physics 2022-08-11 Zhi-Kang Lin , Qiang Wang , Yang Liu , Haoran Xue , Baile Zhang , Yidong Chong , Jian-Hua Jiang

First-principles calculation of nonlinear magneto-optical effects has become an indispensable tool to reveal the geometric and topological nature of electronic states and to understand light-matter interactions. While intriguingly rich…

Materials Science · Physics 2022-02-23 Haowei Chen , Meng Ye , Nianlong Zou , Bing-lin Gu , Yong Xu , Wenhui Duan

Conventional metals, insulators, and semimetals are constrained by fundamental limitations in terms of their thermoelectric performance. Topological materials offer certain features that allow them to circumvent these constraints, and…

Materials Science · Physics 2026-03-26 Brian Skinner , Poulomi Chakraborty , Joshua Scales , Joseph P. Heremans

Quantum computation of the energy of molecules and materials is one of the most promising applications of fault-tolerant quantum computers. Practical applications require development of quantum algorithms with reduced resource requirements.…

Phonons play a crucial role in many properties of solid state systems, such as thermal and electrical conductivity, neutron scattering and associated effects or superconductivity. Hence, it is expected that topological phonons will also…

Topological materials exhibit unique electronic structures that underpin both fundamental quantum phenomena and next-generation technologies, yet their discovery remains constrained by the high computational cost of first-principles…

Materials Science · Physics 2025-12-16 Xinyu Xu , Rajibul Islam , Ghulam Hussain , Yangming Huang , Xiaoguang Li , Pavlo O. Dral , Arif Ullah , Ming Yang

A first-principles method, based on density functional perturbation theory, is presented for computing the leading order tunability of high-dielectric-constant materials.

Materials Science · Physics 2007-05-23 K. M. Rabe

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

Topological semimetals and metals have emerged as a new frontier in the field of quantum materials. Novel macroscopic quantum phenomena they exhibit are not only of fundamental interest, but may hold some potential for technological…

Mesoscale and Nanoscale Physics · Physics 2016-11-23 A. A. Burkov

The machine learning based approaches efficiently solve the goal of searching the best materials candidate for the targeted properties. The search for topological materials using traditional first-principles and symmetry-based methods often…

Materials Science · Physics 2025-09-23 Zodinpuia Ralte , Ramesh Kumar , Mukhtiyar Singh

In topological quantum computing, information is encoded in "knotted" quantum states of topological phases of matter, thus being locked into topology to prevent decay. Topological precision has been confirmed in quantum Hall liquids by…

Quantum Algebra · Mathematics 2017-12-06 Eric C. Rowell , Zhenghan Wang

The discovery of topological quantum states marks a new chapter in both condensed matter physics and materials sciences. By analogy to spin electronic system, topological concepts have been extended into phonons, boosting the birth of…

Materials Science · Physics 2021-03-03 Jiangxu Li , Jiaxi Liu , Stanley A. Baronett , Ronghan Li , Lei Wang , Qiang Zhu , Xing-Qiu Chen

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

Photonic topological materials with a broken time reversal symmetry are characterized by nontrivial topological phases, such that they do not support propagation in the bulk region but forcibly support a nontrivial net number of…

Applied Physics · Physics 2021-10-11 Filipa R. Prudêncio , Mário G. Silveirinha

We review recent progress in the explorations of topological quantum states of matter in iron-based superconductors. In particular, we focus on the nontrivial topology existing in the band structures and superconducting states of iron's 3d…

Mesoscale and Nanoscale Physics · Physics 2019-04-24 Ning Hao , Jiangping Hu

Weyl semimetals have attracted significant interest in condensed matter physics and materials science, due to their unique electronic and topological properties. These characteristics not only deepen our understanding of fundamental quantum…

Inspired by recent breakthroughs with topological quantum materials, which pave the way to novel, high-efficiency, low-energy magnetoelectric devices and fault-tolerant quantum information processing, inter alia, topological quantum walks…

Quantum Physics · Physics 2019-08-08 Jizhou Wu , Wei-Wei Zhang , Barry C. Sanders

Topological superconductors have become a subject of intense research due to their potential use for technical applications in device fabrication and quantum information. Besides fully gapped superconductors, unconventional superconductors…

Superconductivity · Physics 2015-05-26 Andreas P. Schnyder , P. M. R. Brydon