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We present a concrete example of fractional Chern insulator whose fermion Hamiltonian consists of hopping and Coulomb repulsive interaction terms. Both of them are of finite range on the square lattice. In a strong coupling limit for the…

Mathematical Physics · Physics 2022-10-11 Tohru Koma

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…

Quantum Gases · Physics 2020-01-20 S. Barbarino , J. Yu , P. Zoller , J. C. Budich

Topological invariants, such as the Chern number, characterise topological phases of matter. Here we provide a method to detect Chern numbers in systems with two distinct species of fermion, such as spins, orbitals or several atomic states.…

Strongly interacting spins underlie many intriguing phenomena and applications ranging from magnetism to quantum information processing. Interacting spins combined with motion display exotic spin transport phenomena, such as superfluidity…

Chern insulators present a topological obstruction to a smooth gauge in their Bloch wave functions that prevents the construction of exponentially-localized Wannier functions - this makes the electric polarization ill-defined. Here, we show…

Mesoscale and Nanoscale Physics · Physics 2025-03-28 Sachin Vaidya , Mikael C. Rechtsman , Wladimir A. Benalcazar

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

We propose and model Floquet topological polaritons in semiconductor microcavities, using the interference of frequency detuned coherent fields to provide a time periodic potential. For arbitrarily weak field strength, where the Floquet…

Mesoscale and Nanoscale Physics · Physics 2018-05-15 Rongchun Ge , Wijnand Broer , Timothy C. H. Liew

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

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…

Strongly Correlated Electrons · Physics 2016-11-26 Wei Li , Zheng Liu , Yong-Shi Wu , Yan Chen

We propose searching for Chern insulators by depositing atomic layers of elements with large spin-orbit coupling (e.g., Bi) on the surface of a magnetic insulator. We argue that such systems will typically have isolated surface bands with…

Materials Science · Physics 2013-04-16 Kevin F. Garrity , David Vanderbilt

We propose a model of three-dimensional topological insulators consisting of weakly coupled electron- and hole-gas layers with Rashba spin-orbit interaction stacked along a given axis. We show that in the presence of strong…

Mesoscale and Nanoscale Physics · Physics 2017-08-23 Yanick Volpez , Daniel Loss , Jelena Klinovaja

We present a theory of three dimensional fractionalized topological insulators in the form of U(1) spin liquids with gapped fermionic spinons in the bulk and topologically protected gapless spinon surface states. Starting from a spin-1/2…

Strongly Correlated Electrons · Physics 2012-06-27 Subhro Bhattacharjee , Yong Baek Kim , Sung-Sik Lee , Dung-Hai Lee

Under suitable conditions, some twisted graphene multilayers and transition-metal dichalcogenides become Chern insulators, exhibiting the anomalous quantum Hall effect and orbital magnetization due to spontaneous valley polarization. We…

Mesoscale and Nanoscale Physics · Physics 2022-02-22 Sergey S. Pershoguba , Victor M. Yakovenko

The quantum Hall effect, fundamental in modern condensed matter physics, continuously inspires new theories and predicts emergent phases of matter. Here we experimentally demonstrate three types of Chern insulators with synthetic dimensions…

We suggest a construction of a large class of topological states using an array of quantum wires. First, we show how to construct a Chern insulator using an array of alternating wires that contain electrons and holes, correlated with an…

Strongly Correlated Electrons · Physics 2014-11-11 Eran Sagi , Yuval Oreg

Employing the state-of-the-art time-dependent variational principle (TDVP) algorithm, we compute the spectra of charge-neutral excitations in the $\nu=1/2$ (bosonic) \updated{ and $1/3$ (fermionic) fractional Chern insulator (FCI)} on the…

Strongly Correlated Electrons · Physics 2026-01-13 Min Long , Hongyu Lu , Han-Qing Wu , Zi Yang Meng

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 show that topological phases with fractional excitations can occur in two-dimensional ultracold dipolar gases on a particular class of optical lattices. Due to the dipolar interaction and lattice confinement, a quantum dimer model…

Quantum Gases · Physics 2010-04-26 Kai Sun , Erhai Zhao , W. Vincent Liu

The low-energy collective excitations of semiconductors and insulators often couple strongly to light, allowing them to be probed optically. We argue here that in fractional Chern insulators intra-band collective excitations are dark in the…

Strongly Correlated Electrons · Physics 2025-05-05 Tobias M. R. Wolf , Yung-Chun Chao , Allan H. MacDonald , Jung Jung Su

We show how the phases of interacting particles in topological flat bands, known as fractional Chern insulators, can be adiabatically connected to incompressible fractional quantum Hall liquids in the lowest Landau-level of an externally…

Mesoscale and Nanoscale Physics · Physics 2012-12-13 Thomas Scaffidi , Gunnar Moller