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Prediction and discovery of new materials with desired properties are at the forefront of quantum science and technology research. A major bottleneck in this field is the computational resources and time complexity related to finding new…

Topological phases of matter have sparked an immense amount of activity in recent decades. Topological materials are classified by topological invariants that act as a non-local order parameter for any symmetry and condition. As a result,…

Materials Science · Physics 2020-12-08 Oded Zilberberg

The discovery of topological phases has ushered in a new era of condensed matter physics and revealed a variety of natural and artificial materials. They obey the bulk-boundary correspondence (BBC), which guarantees the emergence of…

Other Condensed Matter · Physics 2026-03-06 Yu-Peng Ma , Ming-Jian Gao , Jun-Hong An

The theory of symmetry indicators has enabled database searches for topological materials in normal conducting phases, which has led to several encyclopedic topological material databases. To date, such a database for topological…

Superconductivity · Physics 2022-07-07 Feng Tang , Seishiro Ono , Xiangang Wan , Haruki Watanabe

Topological insulators are characterized by insulating bulk states and robust metallic surface states. Band inversion is a hallmark of topological insulators: at time-reversal invariant points in the Brillouin zone, spin-orbit coupling…

Strongly Correlated Electrons · Physics 2024-12-20 Annette Lopez , Cody A. Melton , Jeonghwan Ahn , Brenda M. Rubenstein , Jaron T. Krogel

In this review, we discuss recent progress in the explorations of topological materials beyond topological insulators; specifically, we focus on topological crystalline insulators and bulk topological superconductors. The basic concepts,…

Materials Science · Physics 2016-01-12 Yoichi Ando , Liang Fu

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 semimetals have emerged as an important class of quantum materials with novel electronic responses and unconventional transport phenomena. Among them, nodal-line semimetals are distinguished by band crossings that extend along…

Materials Science · Physics 2026-05-11 Ashutosh S. Wadge , Pardeep K. Tanwar , Giuseppe Cuono , Carmine Autieri

2D topological insulators promise novel approaches towards electronic, spintronic, and quantum device applications. This is owing to unique features of their electronic band structure, in which bulk-boundary correspondences enforces the…

Topological insulators (TIs) are a recently discovered class of materials having insulating bulk electronic states but conducting boundary states distinguished by nontrivial topology. So far, several generations of TIs have been…

Materials Science · Physics 2013-04-23 Z. F. Wang , Zheng Liu , Feng Liu

We present a novel methodology to identify topologically non-trivial materials based on band inversion induced by spin-orbit coupling (SOC) effect. Specifically, we compare the density functional theory (DFT) based wavefunctions with and…

Materials Science · Physics 2019-12-17 Kamal Choudhary , Kevin F. Garrity , Francesca Tavazza

Electronic topological phases of matter, characterized by robust boundary states derived from topologically nontrivial bulk states, are pivotal for next-generation electronic devices. However, understanding their complex quantum phases,…

Strongly Correlated Electrons · Physics 2025-03-18 Xiang Li , Yixiao Chen , Bohao Li , Haoxiang Chen , Fengcheng Wu , Ji Chen , Weiluo Ren

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

Quantum spin Hall insulators are a class of topological materials that has been extensively studied during the past decade. One of their distinctive features is the presence of a finite band gap in the bulk and gapless, topologically…

Mesoscale and Nanoscale Physics · Physics 2023-09-18 Davide Grassano , Davide Campi , Antimo Marrazzo , Nicola Marzari

In this article, we provide an overview of the basic concepts of novel topological materials. This new class of materials developed by combining the Weyl/Dirac fermionic electron states and magnetism, provide a materials-science platform to…

Mesoscale and Nanoscale Physics · Physics 2020-03-17 Vishal Bhardwaj , Ratnamala Chatterjee

The topological classification of all known non-magnetic crystalline compounds is now complete, revealing thousands of new candidate topological materials waiting to be explored in the lab.

Materials Science · Physics 2019-03-12 Étienne Lantagne-Hurtubise , Marcel Franz

Topological states of matter, first discovered in quantum systems, have opened new avenues for wave manipulation beyond the quantum realm. In elastic media, realizing these topological effects requires identifying lattices that support the…

Materials Science · Physics 2025-03-24 Pegah Azizi , Rahul Dev Kundu , Weichen Li , Kai Sun , Xiaojia Shelly Zhang , Stefano Gonella

Topological insulators are new class of materials which are characterized by a bulk band gap like ordinary band insulator but have protected conducting states on their edge or surface. These states emerge out due to the combination of…

Mesoscale and Nanoscale Physics · Physics 2017-08-18 Arijit Saha , Arun M. Jayannavar

Electrides are exotic compounds in which excess electrons occupy interstitial regions of the crystal lattice and serve as anions, exhibiting exceptional properties such as low work function, high electron mobility, and strong catalytic…

Materials Science · Physics 2026-01-30 Shuo Tao , Qiang Zhu

Non-Hermitian systems have been discussed mostly in the context of open systems and nonequilibrium. Recent experimental progress is much from optical, cold-atomic, and classical platforms due to the vast tunability and clear identification…

Mesoscale and Nanoscale Physics · Physics 2024-01-25 Xiao-Xiao Zhang , Naoto Nagaosa