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Thermal noise can destroy topological insulators (TI). However we demonstrate how TIs can be made stable in dissipative systems. To that aim, we introduce the notion of band Liouvillian as the dissipative counterpart of band Hamiltonian,…

介观与纳米尺度物理 · 物理学 2013-11-04 A. Rivas , O. Viyuela , M. A. Martin-Delgado

Graphene-based moire superlattices exhibit novel quantum phenomena driven by pronounced interactions, leading to topological corrected states like orbital Chern insulators exhibiting quantum anomalous Hall effect (QAHE). Typically,…

介观与纳米尺度物理 · 物理学 2025-12-29 Zaizhe Zhang , Xi Chen , Kenji Watanabe , Takashi Taniguchi , Zhida Song , Xiaobo Lu

We apply methods of equivariant homotopy theory, which may not previously have found due attention in condensed matter physics, to classify first the fragile/unstable topological phases of 2D crystalline Chern insulator materials, and…

强关联电子 · 物理学 2026-01-01 Hisham Sati , Urs Schreiber

Topological insulator(TI) is a phase of matter discovered recently. Kane and Mele proposed this phase is distinguished from the ordinary band insulator by a Z2 topological invariant.2 Several authors have try to related this Z2 invariant to…

材料科学 · 物理学 2011-03-01 Yidong Wu

The realization of interacting topological states of matter such as fractional Chern insulators (FCIs) in cold atom systems has recently come within experimental reach due to the engineering of optical lattices with synthetic gauge fields…

量子气体 · 物理学 2020-12-03 Johannes Motruk , Ilyoun Na

Symmetry-protected topological phases of matter have challenged our understanding of condensed matter systems and harbour exotic phenomena promising to address major technological challenges. Considerable understanding of these phases of…

强关联电子 · 物理学 2022-11-11 Ashley M. Cook , Joel E. Moore

The quadrupole topological insulator (QTI) has attracted intense studies as a prototype of symmetry-protected higher-order topological phases of matter with a quantized quadrupole moment. The realization of QTIs has been reported in various…

介观与纳米尺度物理 · 物理学 2022-06-08 Zhen Ning , Bo Fu , Dong-Hui Xu , Rui Wang

Topological materials with both insulating and semimetal phases can be protected by crystalline (e.g. mirror) symmetry. The insulating phase, called topological crystalline insulator (TCI), has been intensively investigated and observed in…

We study a two-dimensional (2D) tight-binding model of a topological crystalline insulator (TCI) protected by rotation symmetry. The model is built by stacking two Chern insulators with opposite Chern numbers which transform under conjugate…

介观与纳米尺度物理 · 物理学 2019-07-22 Shang Liu , Ashvin Vishwanath , Eslam Khalaf

We study two models for spinless fermions featuring topologically non-trivial bands characterized by Chern numbers $C=\pm1$ at fractional filling. Using exact diagonalization, we show that, even for infinitely strong nearest-neighbor…

强关联电子 · 物理学 2014-04-02 Stefanos Kourtis , Titus Neupert , Claudio Chamon , Christopher Mudry

The antiferromagnetic topological insulator (AFTI) is topologically protected by the combined time-reversal and translational symmetry $\mathcal{T}_c$. In this paper we investigate the effects of the $s$-wave superconducting pairings on the…

超导电性 · 物理学 2022-01-26 Beibing Huang , Xiaosen Yang , Qinfang Zhang , Ning Xu

Recent experimental discovery of fractional Chern insulator in moir\'e Chern band in twisted transition metal dichalocogenide homobilayers has sparked intensive interest in exploring the ways of engineering band topology and correlated…

强关联电子 · 物理学 2024-05-22 Xiaoyang Shen , Chonghao Wang , Ruiping Guo , Zhiming Xu , Wenhui Duan , Yong Xu

In condensed matter physics, symmetry profoundly governs the fundamentals of topological matter. The emergence of new topological phase is typically linked to the enrichment of symmetries. Different parity-time symmetry relations…

介观与纳米尺度物理 · 物理学 2022-09-15 Xiao Xiang , Feng Gao , Yugui Peng , Qili Sun , Jie Zhu , Xuefeng Zhu

One salient feature of systems with Moir\'{e} superlattice is that, Chern number of "minibands" originating from each valley of the original graphene Brillouin zone becomes a well-defined quantized number because the miniband from each…

强关联电子 · 物理学 2019-10-25 Xiao-Chuan Wu , Yichen Xu , Chao-Ming Jian , Cenke Xu

Exploring novel topological matters with exotic quantum states has always been a core issue in the field of condensed matter physics, which can update the understanding of topological phases and broaden the classification of topological…

介观与纳米尺度物理 · 物理学 2025-12-09 Wei Jia , Yuping Tian , Huanhuan Yang , Xiangru Kong , Zhi-Hao Huang , Wei-Jiang Gong , Jun-Hong An

Chirally stacked $N$-layer graphene is a semimetal with $\pm p^N$ band-touching at two nonequivalent corners in its Brillioun zone. We predict that an off-resonant circularly polarized light (CPL) drives chirally stacked $N$-layer graphene…

介观与纳米尺度物理 · 物理学 2018-04-02 Si Li , Cheng-Cheng Liu , Yugui Yao

Higher-order topological insulators (HOTIs) have attracted increasing interest as a unique class of topological quantum materials. One distinct property of HOTIs is the crystalline symmetry-imposed topological state at the lower-dimensional…

材料科学 · 物理学 2023-07-25 Xiaoyin Li , Feng Liu

We use the Dirac cone model to explore the high Chern number (C) phases that are realized in the magnetic-doped topological insulator (TI) multilayer structures by Zhao et al. [Nature 588, 419 (2020)]. The Chern number is calculated by…

介观与纳米尺度物理 · 物理学 2022-08-19 Yi-Xiang Wang , Fuxiang Li

Topological insulators are a novel state of matter that share a common feature: their spectral bands are associated with a nonlocal integer-valued index, commonly manifesting through quantized bulk phenomena and robust boundary effects. In…

介观与纳米尺度物理 · 物理学 2020-07-01 Ioannis Petrides , Oded Zilberberg

In two dimensions, intrinsic second-order topological insulators (SOTIs) are characterized by topological corner states that emerge at the intersections of distinct edges with reversed mass signs, enforced by spatial symmetries. Here, we…

材料科学 · 物理学 2024-06-21 Z. J. Chen , S. G. Xu , Z. J. Xie , H. Xu , H. M. Weng