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The classification of bandstructures by topological invariants provides a powerful tool for understanding phenomena such as the quantum Hall effect. This classification was originally developed in the context of electrons, but can also be…

Optics · Physics 2020-09-14 R. L. Mc Guinness , P. R. Eastham

Considerable efforts have recently been devoted to the experimental realization of a two-dimensional Chern insulator, i.e., a system displaying a quantum anomalous Hall effect. However, existing approaches such as those based on magnetic…

Materials Science · Physics 2014-09-12 Kevin F. Garrity , David Vanderbilt

We study the polaritonic bandstructure of two-dimensional atomic lattices coupled to a single excitation of a surface plasmon polariton mode. We show the possibility of realizing topological gaps with different Chern numbers by having…

Optics · Physics 2021-03-31 Rituraj , Meir Orenstein , Shanhui Fan

The external controllability of the magnetic properties in topological insulators would be important both for fundamental and practical interests. Here we predict the electric-field control of ferromagnetism in a thin film of insulating…

Mesoscale and Nanoscale Physics · Physics 2015-07-15 Jing Wang , Biao Lian , Shou-Cheng Zhang

Three-dimensional topological insulator films in contact with magnetic layers exhibit intriguing magneto-optical and magnetoelectric phenomena, but little is known beyond the linear response regime. We demonstrate that the presence of two…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 A. G. Mal'shukov , Hans Skarsvag , Arne Brataas

Chern insulators host topologically protected chiral edge currents with quantized conductance characterized by their Chern number. Switching the chirality of a Chern insulator, namely, the direction of the edge current, is highly…

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…

We propose to realize and observe Chern Kondo insulators in an optical superlattice with laser-assisted $s$ and $p$ orbital hybridization and synthetic gauge field, which can be engineered based on the recent cold atom experiments.…

Strongly Correlated Electrons · Physics 2016-01-29 Hua Chen , Xiong-Jun Liu , X. C. Xie

The effect of a magnetic field on a two-dimensional Chern band insulator is discussed. It is shown that, unlike the trivial insulator, an anomalous Hall insulator with Chern number $C$ becomes a metal when a magnetic field is applied at…

Mesoscale and Nanoscale Physics · Physics 2014-01-31 Miguel A. N. Araújo , Eduardo V. Castro

Moir\'e systems made from stacked two-dimensional materials host novel correlated and topological states that can be electrically controlled via applied gate voltages. We have used this technique to manipulate Chern domains in an…

We introduce a second-quantized field theory for Chern insulators in which the Hamiltonian features a static vector potential that has the periodicity of the crystal's lattice and spontaneously breaks time-reversal symmetry in the system's…

Mesoscale and Nanoscale Physics · Physics 2026-01-30 Jason G. Kattan , J. E. Sipe

Realizing Chern insulators with Chern numbers greater than one remains a major goal in quantum materials research. Such platforms promise multichannel dissipationless chiral transport and access to correlated phases beyond the conventional…

We demonstrate the realization of topological band structures by exploiting the intrinsic spin-orbit coupling of dipolar interactions in combination with broken time-reversal symmetry. The system is based on polar molecules trapped in a…

The interplay between band topology and magnetism can give rise to exotic states of matter. For example, magnetically doped topological insulators can realize a Chern insulator that exhibits quantized Hall resistance at zero magnetic field.…

We study thermoelectric transport in ultrathin topological insulators under the application of circularly polarized off-resonant light of frequency {\Omega} and amplitude A. We derive analytical expressions for the band structure, orbital…

Mesoscale and Nanoscale Physics · Physics 2015-04-22 M. Tahir , P. Vasilopoulos

Recent findings indicate that orbital angular momentum (OAM) has the capability to induce the intrinsic orbital Hall effect (OHE), which is characterized by orbital Chern number in the orbital Hall insulator. Unlike the spin-polarized…

Mesoscale and Nanoscale Physics · Physics 2024-05-07 Shilei Ji , Chuye Quan , Ruijia Yao , Jianping Yang , Xing'ao Li

The quantum anomalous Hall effect resulting from the in-plane magnetization in the OsCl$_3$ monolayer is shown to exhibit different electronic topological phases determined by the crystal symmetries and magnetism. In this Chern insulator,…

Strongly Correlated Electrons · Physics 2025-01-28 Ritwik Das , Subhadeep Bandyopadhyay , Indra Dasgupta

Haldane's tight-binding model, which describes a Chern insulator in a two-dimensional hexagonal lattice, exhibits quantum Hall conductivity without an external magnetic field. Here, we explore an $\alpha -T_{3}$ lattice subjected to…

Mesoscale and Nanoscale Physics · Physics 2025-12-23 Othmane Benhaida , El Hassan Saidi , L. B. Drissi

Thermal fluctuation in magnets will bring temperature-dependent self-energy corrections to the magnons, however, their effects on the topological orders of magnons is not well explored. Here we demonstrate that such corrections can induce a…

Mesoscale and Nanoscale Physics · Physics 2023-06-16 Yun-Mei Li , Xi-Wang Luo , Kai Chang

Strongly correlated quantum systems can exhibit exotic behavior controlled by topology. We predict that the \nu=1/2 fractional Chern insulator arises naturally in a two-dimensional array of driven, dipolar-interacting spins. As a specific…

Strongly Correlated Electrons · Physics 2013-05-08 Norman Y. Yao , Alexey V. Gorshkov , Chris R. Laumann , Andreas M. Läuchli , Jun Ye , Mikhail D. Lukin