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Fractional Chern insulators (FCIs), having properties similar to those of the fractional quantum Hall effect, have been established numerically in various toy models. To fully explore their fundamental physics and to develop practical…

强关联电子 · 物理学 2016-11-26 Wei Li , Zheng Liu , Yong-Shi Wu , Yan Chen

In the absence of time reversal symmetry, orbital magnetization provides a sensitive probe of topology and interactions, with particularly rich phenomenology in Chern insulators where topological edge states carry large equilibrium…

Magnetic multiple-$Q$ states consisting of multiple spin density waves are a source of unconventional topological spin textures, such as skyrmion and hedgehog. We theoretically investigate a topologically nontrivial double-$Q$ state with a…

强关联电子 · 物理学 2024-04-23 Satoru Hayami

Recently Chern insulators with Chern number $C=1$ and $C=2$ in zero (or very small) magnetic field have been observed in two moire graphene systems: twisted bilayer graphene and ABC trilayer graphene, both aligned with a hexagonal…

强关联电子 · 物理学 2020-10-07 Ya-Hui Zhang , T. Senthil

Topological insulators are a new class of insulators in which a bulk gap for electronic excitations is generated by strong spin orbit coupling. These novel materials are distinguished from ordinary insulators by the presence of gapless…

Synchronized rotation of unit cells in a periodic structure provides a novel design perspective for manipulation of band topology. We then design a two-dimensional version of higher-order topological insulators (HOTI), by such rotation in a…

光学 · 物理学 2022-05-05 R. Zhou , H. Lin , Y. Wu , Z. Li , Z. Yu , Y. Liu , Dong-Hui Xu

We study multiplicative Chern insulators (MCIs) as canonical examples of multiplicative topological phases of matter. Constructing the MCI Bloch Hamiltonian as a symmetry-protected tensor product of two topologically non-trivial parent…

介观与纳米尺度物理 · 物理学 2026-02-11 Archi Banerjee , Ashley M. Cook

Fractional topological insulators (FTI) are electronic topological phases in $(3+1)$ dimensions enriched by time reversal (TR) and charge $U(1)$ conservation symmetries. We focus on the simplest series of fermionic FTI, whose bulk…

强关联电子 · 物理学 2017-10-25 Sharmistha Sahoo , Alexander Sirota , Gil Young Cho , Jeffrey C. Y. Teo

Topological insulators (TIs) are characterized by an insulating bulk and symmetry protected bound state on their boundaries. A "strong" topological insulator is characterized by robust conducting states on \emph{all} boundaries protected by…

介观与纳米尺度物理 · 物理学 2020-12-16 Inbar Hotzen Grinberg , Mao Lin , Wladimir A. Benalcazar , Taylor L. Hughes , Gaurav Bahl

Breakthrough experiments have recently realized fractional Chern insulators (FCIs) in moir\'e materials. However, all states observed are Abelian, the possible existence of more exotic non-Abelian FCIs remains controversial both…

强关联电子 · 物理学 2025-09-25 Hui Liu , Zhao Liu , Emil J. Bergholtz

Interaction-induced topological systems have attracted a growing interest for their exotic properties going beyond the single-particle picture of topological insulators. In particular, the interplay between strong correlations and finite…

We discuss recent advances in the study of topological insulators protected by spatial symmetries by reviewing three representative, theoretical examples. In three dimensions, these states of matter are generally characterized by the…

介观与纳米尺度物理 · 物理学 2019-06-12 Alexander Lau , Carmine Ortix

Topological insulators (TIs) are a recently discovered class of quantum materials that are currently attracting considerable attention. The most interesting aspect of the TIs is, in fact, not that they are bulk insulators but that their…

强关联电子 · 物理学 2015-06-11 Philip Hofmann

Higher-order topological insulators (HOTIs) are a newly discovered class of topological insulators which exhibit unconventional bulk-boundary correspondence. Very recently, the concept of HOTIs has been extended to aperiodic…

介观与纳米尺度物理 · 物理学 2020-12-03 Chun-Bo Hua , Rui Chen , Bin Zhou , Dong-Hui Xu

The high-Chern number phases with a Chern number C>1 have been observed in a recent experiment that performed on the topological insulator (TI) multilayer structures, consisting of the alternating magnetic-doped and undoped TI layers. In…

介观与纳米尺度物理 · 物理学 2021-07-13 Yi-Xiang Wang , Fuxiang Li

The topological properties of the bulk band structure of a three-dimensional topological insulator (TI) manifest themselves in the form of metallic surface states. In this paper, we propose a probe which directly couples to an exotic…

介观与纳米尺度物理 · 物理学 2015-05-19 Sthitadhi Roy , Kush Saha , Sourin Das

We investigate topological band structures of a kagome system coupled to a circularly polarized cavity mode, using a model based on a muffin-tin potential and quantum light-matter interaction. We show that Chern insulating phases emerge in…

介观与纳米尺度物理 · 物理学 2026-04-03 Hikaru Goto , Ryo Okugawa , Takami Tohyama

The Chern vector is a vectorial generalization of the scalar Chern number, being able to characterize the topological phase of three-dimensional (3D) Chern insulators. Such a vectorial generalization extends the applicability of Chern-type…

Motivated by the outstanding challenge of realizing low-temperature states of quantum matter in synthetic materials, we propose and study an experimentally feasible protocol for preparing topological states such as Chern insulators. By…

量子气体 · 物理学 2020-01-20 S. Barbarino , J. Yu , P. Zoller , J. C. Budich

Higher-order topological phases and real topological phases are two emerging topics in topological states of matter, which have been attracting considerable research interest. However, it remains a challenge to find realistic materials that…

材料科学 · 物理学 2021-09-01 Cong Chen , Weikang Wu , Zhi-Ming Yu , Ziyu Chen , Y. X. Zhao , Xian-Lei Sheng , Shengyuan A. Yang