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Topological insulators (TIs) host novel states of quantum matter, distinguished from trivial insulators by the presence of nontrivial conducting boundary states connecting the valence and conduction bulk bands. Up to date, all the TIs…

Topological physics and strong electron-electron correlations in quantum materials are typically studied independently. However, there have been rapid recent developments in quantum materials in which topological phase transitions emerge…

Two-dimensional topological insulators, characterized by symmetry-protected anomalous boundary modes, have been generalized to the strongly correlated regime for both bosonic and fermionic systems. As correlated topological insulators (TI)…

强关联电子 · 物理学 2025-11-18 Yixin Ma , Chao Xu , Shenghan Jiang

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…

强关联电子 · 物理学 2024-12-20 Annette Lopez , Cody A. Melton , Jeonghwan Ahn , Brenda M. Rubenstein , Jaron T. Krogel

Topological insulators are a new class of materials that have engendered considerable research interest among the condensed matter community owing primarily to their application prospects in quantum computations and spintronics. Many of the…

光学 · 物理学 2021-08-24 Nitish Kumar Gupta , Arun M. Jayannavar

Encoding and manipulation of quantum information by means of topological degrees of freedom provides a promising way to achieve natural fault-tolerance that is built-in at the physical level. We show that this topological approach to…

量子物理 · 物理学 2009-11-07 Paolo Zanardi , Seth Lloyd

Topological insulators are materials with a bulk excitation gap generated by the spin orbit interaction, and which are different from conventional insulators. This distinction is characterized by Z_2 topological invariants, which…

介观与纳米尺度物理 · 物理学 2009-11-11 Liang Fu , C. L. Kane

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…

材料科学 · 物理学 2026-05-11 Ashutosh S. Wadge , Pardeep K. Tanwar , Giuseppe Cuono , Carmine Autieri

How to characterize topological quantum phases is a fundamental issue in the broad field of topological matter. From a dimension reduction approach, we propose the concept of high-order band inversion surfaces (BISs) which enable the…

介观与纳米尺度物理 · 物理学 2021-05-18 Xiang-Long Yu , Wentao Ji , Lin Zhang , Ya Wang , Jiansheng Wu , Xiong-Jun Liu

Topological insulators (TIs) are materials that have a bulk electronic band gap like an ordinary insulator but have protected conducting states on their surface. One of the most interesting properties of TIs is their spin helicity, whereby…

介观与纳米尺度物理 · 物理学 2013-07-19 Xuetao Zhu , Colin Howard , Jiandong Guo , Michael El-Batanouny

Programmable quantum simulators such as superconducting quantum processors and ultracold atomic lattices represent rapidly developing emergent technology that may one day qualitatively outperform existing classical computers. Yet, apart…

强关联电子 · 物理学 2025-03-11 Jin Ming Koh , Tommy Tai , Ching Hua Lee

Databases compiled using ab-initio and symmetry-based calculations now contain tens of thousands of topological insulators and topological semimetals. This makes the application of modern machine learning methods to topological materials…

材料科学 · 物理学 2020-07-01 Nikolas Claussen , B. Andrei Bernevig , Nicolas Regnault

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…

材料科学 · 物理学 2025-03-05 Yongpan Li , Shifeng Qian , Cheng-Cheng Liu

The paper introduces the application of information geometry to describe the ground states of Ising models by utilizing parity-check matrices of cyclic and quasi-cyclic codes on toric and spherical topologies. The approach establishes a…

信息论 · 计算机科学 2023-09-07 Vasiliy Usatyuk , Sergey Egorov , Denis Sapozhnikov

Topological insulators are a novel class of quantum materials in which time-reversal symmetry, relativistic (spin-orbit) effects and an inverted band structure result in electronic metallic states on the surfaces of bulk crystals. These…

Topological quantum computation (TQC) is one of the most striking architectures that can realize fault-tolerant quantum computers. In TQC, the logical space and the quantum gates are topologically protected, i.e., robust against local…

Topological semimetals, such as the Weyl and Dirac semimetals, represent one of the most active research fields in modern condensed matter physics. The peculiar physical properties of these systems mainly originate from their underlying…

介观与纳米尺度物理 · 物理学 2024-05-09 Yu-Ping Lin , Giandomenico Palumbo

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…

强关联电子 · 物理学 2018-08-07 Haruki Watanabe , Hoi Chun Po , Ashvin Vishwanath

Two-dimensional layered materials, such as transition metal dichalcogenides (TMDs), possess intrinsic van der Waals gap at the layer interface allowing for remarkable tunability of the optoelectronic features via external intercalation of…

材料科学 · 物理学 2024-11-25 Srihari M. Kastuar , Christopher Rzepa , Srinivas Rangarajan , Chinedu E. Ekuma

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…

材料科学 · 物理学 2013-04-23 Z. F. Wang , Zheng Liu , Feng Liu
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