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Rhombohedral multilayer graphene, with its flat electronic bands and concentrated Berry curvature, is a promising material for the realization of correlated topological phases of matter. When aligned to an adjacent hexagonal boron nitride…

Mesoscale and Nanoscale Physics · Physics 2025-09-16 Samuel H. Aronson , Tonghang Han , Zhengguang Lu , Yuxuan Yao , Kenji Watanabe , Takashi Taniguchi , Long Ju , Raymond C. Ashoori

Topological phases, including the conventional first-order and higher-order topological insulators and semimetals, have emerged as a thriving topic in the fields of condensed-matter physics and material science. Usually, a topological…

Mesoscale and Nanoscale Physics · Physics 2021-04-21 Yating Yang , Jiuyang Lu , Mou Yan , Xueqin Huang , Weiyin Deng , Zhengyou Liu

We study translationally-invariant insulators with inversion symmetry that fall outside the established classification of topological insulators. These insulators are not required to have gapless boundary modes in the energy spectrum.…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Taylor L. Hughes , Emil Prodan , B. Andrei Bernevig

Chern insulators, which are the lattice analogs of the quantum Hall states, can potentially manifest high-temperature topological orders at zero magnetic field to enable next-generation topological quantum devices. To date, integer Chern…

The discovery of zero-field fractional Chern insulators (FCIs) in moir\'e materials has attracted intense interest in the interplay between topology and correlations. Here, we demonstrate that fractionalized topological order can emerge…

Mesoscale and Nanoscale Physics · Physics 2025-10-20 Hui Liu , Raul Perea-Causin , Zhao Liu , Emil J. Bergholtz

Topological phonons in crystalline materials have been attracting great interest. However, most cases studied so far are direct generalizations of the topological states from electronic systems. Here, we reveal a novel class of topological…

Materials Science · Physics 2022-05-06 Jiaojiao Zhu , Weikang Wu , Jianzhou Zhao , Hao Chen , Lifa Zhang , Shengyuan A. Yang

Second-order topological insulators (SOTIs) are the topological phases of matter in d dimensions that manifest (d-2)-dimensional localized modes at the intersection of the edges. We show that SOTIs can be designed via stacked Chern…

Mesoscale and Nanoscale Physics · Physics 2020-09-22 Ce Shang , Xiaoning Zang , Wenlong Gao , Udo Schwingenschlögl , Aurélien Manchon

The breaking and enforcing of symmetries is a crucial ingredient in designing topologically robust materials. While magnetic fields can break time-reversal symmetry to create Chern insulators in electronic and microwave systems, at optical…

Topological semimetal states which are constrained by symmetries and give birth to innovative excitations are the frontiers of topological quantum matter. Nodal chains in which two nodal rings connect at one point were first discovered in…

Materials Science · Physics 2022-12-21 Hong-Ao Yang , Hao-Yu Wei , Bing-Yang Cao

We propose a Chern insulator in a two-dimensional electron system with Dresselhaus spin-orbit coupling, ferromagnetism, and spin-dependent effective mass. The analytically-obtained topological phase diagrams show the topological phase…

Mesoscale and Nanoscale Physics · Physics 2019-10-10 Rui-An Chang , Ching-Ray Chang

A family of semiconductors called as Chern band insulator are shown to host exciton bands with non-zero topological Chern integers and chiral exciton edge modes. Using a prototypical two-band Chern insulator model, we calculate a…

Mesoscale and Nanoscale Physics · Physics 2017-10-11 Ke Chen , Ryuichi Shindou

We propose the realization of interaction-driven insulators in periodically strained monolayer graphene and transition metal dichalcogenides (TMDs). Through extensive many-body exact diagonalization, we provide compelling evidence for…

Strongly Correlated Electrons · Physics 2024-12-24 Yuchen Liu , Zheng Zhu

The isospin flavors in condensed matters can be continuously broken, forming various symmetry-broken quantum states. In moir\'e crystals, the competition between different isospin configurations can be effectively tuned by the twist angles…

Mesoscale and Nanoscale Physics · Physics 2026-01-08 Wenxuan Wang , Yijie Wang , Zaizhe Zhang , Zihao Huo , Gengdong Zhou , Kenji Watanabe , Takashi Taniguchi , X. C. Xie , Kaihui Liu , Zhida Song , Xiaobo Lu

Graphene-based moire superlattices provide a versatile platform for exploring novel correlated and topological electronic states, driven by enhanced Coulomb interactions within flat bands. The intrinsic tunability of graphene s multiple…

Strongly Correlated Electrons · Physics 2024-12-16 Jian Zheng , Size Wu , Kai Liu , Bosai Lyu , Shuhan Liu , Yating Sha , Zhengxian Li , Kenji Watanabe , Takashi Taniguchi , Jinfeng Jia , Zhiwen Shi , Guorui Chen

Phonons - quanta of crystal lattice vibrations - reveal themselves in all electrical, thermal and optical phenomena in materials. Nanostructures open exciting opportunities for tuning the phonon energy spectrum and related properties of…

Mesoscale and Nanoscale Physics · Physics 2012-11-26 Alexander A. Balandina , Denis L. Nika

We present a theoretical study and experimental realization of a system that is simultaneously a four-dimensional (4D) Chern insulator and a higher-order topological insulator (HOTI). The system sustains the coexistence of (4-1)-dimensional…

Applied Physics · Physics 2021-02-03 Ze-Guo Chen , Weiwei Zhu , Yang Tan , Licheng Wang , Guancong Ma

We propose a route towards creating a metamaterial that behaves as a photonic Chern insulator, through homogenization of an array of gyromagnetic cylinders. We show that such an array can exhibit non-trivial topological effects, including…

Optics · Physics 2017-10-04 Meng Xiao , Shanhui Fan

Topological insulators (TIs) are an emerging class of materials that host highly robust in-gap surface/interface states while maintaining an insulating bulk. While most notable scientific advancements in this field have been focused on TIs…

We consider twisted bilayer graphene on a transition metal dichalcogenide substrate, where proximity-induced spin-orbit coupling significantly alters the eight flat bands which occur near the magic angle. The resulting band structure…

Strongly Correlated Electrons · Physics 2020-12-24 Tianle Wang , Nick Bultinck , Michael P. Zaletel

Topological physics in photonic systems have attracted great attentions in recent years. In this work, we theoretically study the one and two dimensional photonic quasicrystal resonator lattices characterized by the first and second Chern…

Mesoscale and Nanoscale Physics · Physics 2015-04-16 Xiao Zhang