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This paper discusses a connection between two important classes of materials, namely quasicrystals and topological insulators as exemplified by the Quantum Hall problem. It has been remarked that the quasicrystal ``inherits" topological…

Strongly Correlated Electrons · Physics 2025-09-29 Anuradha Jagannathan

We study the photon-dressed electronic band structure of topological insulator thin films which could be also doped doped by magnetic impurities in response to an off-resonance time-periodic electromagnetic field. The thin films irradiated…

Mesoscale and Nanoscale Physics · Physics 2021-12-21 S. Sajad Dabiri , Hosein Cheraghchi , Ali Sadeghi

Topological nontrivial bands can be realized via Rydberg-dressed neutral atoms. We propose a two-dimensional hard-core boson model with a topological ground enrgy at band on a honeycomb lattice, where the particle hopping is realized via…

Quantum Gases · Physics 2022-08-25 Yang Zhao , Xiao-Feng Shi

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

Controlling light propagation using artificial photonic crystals and electromagnetic metamaterials is an important topic in the vibrant field of photonics. Notably, chiral edge states on the surface or at the interface of photonic Chern…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Ruei-Cheng Shiu , Hsun-Chi Chan , Hai-Xiao Wang , Guang-Yu Guo

We report Chern insulating phases emerging from a single layer of layered chalcogenide CrSiTe$_{3}$, a transition metal trichacogenides (TMTC) material, in the presence of charge doping. Due to strong hybridization with Te $p$ orbitals, the…

Materials Science · Physics 2023-04-12 Sungmo Kang , Seungjin Kang , Heung-Sik Kim , Jaejun Yu

The search for robust examples of the magnetic version of topological insulators, referred to as quantum anomalous Hall insulators or simply Chern insulators, so far lacks success. Our groups have explored two distinct possibilities based…

Materials Science · Physics 2018-03-20 W. E. Pickett , K. -W. Lee , R. Pentcheva

We study the behaviour of electrons interacting with a classical magnetic background via a strong Hund coupling. The magnetic background results from a Hamiltonian which favours at low temperature the emergence of a phase with non-zero…

Strongly Correlated Electrons · Physics 2019-02-06 H. D. Rosales , F. A. Gómez Albarracín , P. Pujol

At partial filling of a flat band, strong electronic interactions may favor gapped states harboring emergent topology with quantized Hall conductivity. Emergent topological states have been found in partially filled Landau levels and…

Fractional Chern insulators (FCIs) are lattice generalizations of the conventional fractional quantum Hall effect (FQHE) in two-dimensional (2D) electron gases. They typically arise in a 2D lattice without time-reversal symmetry when a…

Mesoscale and Nanoscale Physics · Physics 2023-03-03 Zhao Liu , Emil J. Bergholtz

Higher-order topological insulators have attracted great research interest recently. Different from conventional topological insulators, higher-order topological insulators do not necessarily require spin-orbit coupling, which makes it…

Fractional Chern insulators arise in topologically nontrivial flat bands, characterized by an integer Chern number C that corresponds to the number of dissipationless edge states in the non-interacting regime. Higher Chern numbers can…

Strongly Correlated Electrons · Physics 2026-01-29 Ying-Xing Ding , Wen-Tong Li , Li-Min Zhang , Yu-Biao Wu , Duanlu Zhou , Lin Zhuang , Wu-Ming Liu

The search of large-gap quantum spin Hall (QSH) insulators and effective approaches to tune QSH states is important for both fundamental and practical interests. Based on first-principles calculations we find two-dimensional tin films are…

Materials Science · Physics 2013-10-08 Yong Xu , Binghai Yan , Hai-Jun Zhang , Jing Wang , Gang Xu , Peizhe Tang , Wenhui Duan , Shou-Cheng Zhang

The search of new topological insulators that demonstrate the quantum anomalous Hall effect (QAHE) is a cutting-edge research topic in condensed matter physics and materials science. So far, the QAHE has been observed only in Cr-doped…

Materials Science · Physics 2015-03-13 Jun Hu , Zhenyue Zhu , Ruqian Wu

We investigate the stability of the one-dimensional limit of $\nu=1/3$ Laughlin-like fractional Chern insulator with respect to the interband interaction. We propose a construction for the excitations in the infinite-interaction case and…

Strongly Correlated Electrons · Physics 2018-04-24 Błażej Jaworowski , Piotr Kaczmarkiewicz , Paweł Potasz , Arkadiusz Wójs

We predict twisted double bilayer graphene to be a versatile platform for the realization of fractional Chern insulators readily targeted by tuning the gate potential and the twist angle. Remarkably, these topologically ordered states of…

Mesoscale and Nanoscale Physics · Physics 2021-01-18 Zhao Liu , Ahmed Abouelkomsan , Emil J. Bergholtz

We consider the visco-elastic response of the electronic degrees of freedom in 2D and 3D topological insulators (TI). Our primary focus is on the 2D Chern insulator which exhibits a bulk dissipationless viscosity analogous to the quantum…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Taylor L. Hughes , Robert G. Leigh , Eduardo Fradkin

The quantum anomalous Hall effect is a intriguing quantum state which exhibits the chiral edge states in the absence of magnetic field. While the search for quantum anomalous Hall insulators is still active, the researchers mainly search…

Mesoscale and Nanoscale Physics · Physics 2020-02-19 Ping Li , Tian-Yi Cai

Even if a noninteracting system has zero Berry curvature everywhere in the Brillouin zone, it is possible to introduce interactions that stabilise a fractional Chern insulator. These interactions necessarily break time-reversal symmetry…

Strongly Correlated Electrons · Physics 2015-11-10 Steven H. Simon , Fenner Harper , N. Read

The quantum anomalous Hall (QAH) insulator is uniquely characterized by the topological Chern number C. Controlling the Chern number is a key step toward functional topological electronics and enables access to exotic quantum phases beyond…