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Lattice models forming bands with higher Chern number offer an intriguing possibility for new phases of matter with no analogue in continuum Landau levels. Here, we establish the existence of a number of new bulk insulating states at…

强关联电子 · 物理学 2012-11-06 Zhao Liu , Emil J. Bergholtz , Heng Fan , Andreas M. Laeuchli

Realization of strong synthetic magnetic fields in driven optical lattices has enabled implementation of topological bands in cold-atom setups. A milestone has been reached by a recent measurement of a finite Chern number based on the…

量子气体 · 物理学 2018-11-27 Ana Hudomal , Ivana Vasić , Hrvoje Buljan , Walter Hofstetter , Antun Balaž

Topological insulators and their intriguing edge states can be understood in a single-particle picture and can as such be exhaustively classified. Interactions significantly complicate this picture and can lead to entirely new insulating…

强关联电子 · 物理学 2013-09-10 Emil J. Bergholtz , Zhao Liu

Two-dimensional lattice models subjected to an external effective magnetic field can form nontrivial band topologies characterized by nonzero integer band Chern numbers. In this Letter, we investigate such a lattice model originating from…

强关联电子 · 物理学 2013-11-01 Dong Wang , Zhao Liu , Junpeng Cao , Heng Fan

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

The recent progress in engineering topological band structures in optical-lattice systems makes it promising to study fractional Chern insulator states in these systems. Here we consider a realistic finite system of a few repulsively…

量子气体 · 物理学 2022-03-23 Botao Wang , Xiao-Yu Dong , André Eckardt

Optical lattices with a complex-valued tunnelling term have become a standard way of studying gauge-field physics with cold atoms. If the complex phase of the tunnelling is made density-dependent, such system features even a…

量子气体 · 物理学 2016-03-09 David Raventós , Tobias Graß , Bruno Juliá-Díaz , Luis Santos , Maciej Lewenstein

We propose a simple scheme for the realization of a topological quasienergy band structure with ultracold atoms in a periodically driven optical square lattice. It is based on a circular lattice shaking in the presence of a superlattice…

量子气体 · 物理学 2016-08-10 Mantas Račiūnas , Giedrius Žlabys , André Eckardt , Egidijus Anisimovas

The rapid advances in the study of fractional Chern insulators (FCIs) raise a fundamental question: while initially discovered in flat Chern bands motivated by their topological equivalence to Landau levels, is single- particle band…

强关联电子 · 物理学 2025-10-17 Hongyu Lu , Wang Yao

Topological states of matter are peculiar quantum phases showing different edge and bulk transport properties connected by the bulk-boundary correspondence. While non-interacting fermionic topological insulators are well established by now…

量子气体 · 物理学 2016-10-18 M. Di Liberto , A. Hemmerich , C. Morais Smith

It has been recently realized that strong interactions in topological Bloch bands give rise to the appearance of novel states of matter. Here we study connections between these systems -- fractional Chern insulators and the fractional…

强关联电子 · 物理学 2013-08-28 Zhao Liu , D. L. Kovrizhin , Emil J. Bergholtz

We propose to use a one-dimensional system consisting of identical fermions in a periodically driven lattice immersed in a Bose gas, to realise topological superfluid phases with Chern numbers larger than 1. The bosons mediate an attractive…

量子气体 · 物理学 2018-02-16 Kristian Knakkergaard Nielsen , Zhigang Wu , Georg M. Bruun

We propose a set of schemes to create and probe fractionally charged excitations of a fractional Chern insulator state in an optical lattice. This includes the creation of localized quasiparticles and quasiholes using both static local…

量子气体 · 物理学 2019-01-03 Mantas Račiūnas , F. Nur Ünal , Egidijus Anisimovas , André Eckardt

The integer quantum Hall state occurs when the Landau levels are fully occupied by the fermions, while the fractional quantum Hall state usually emerges when the Landau level is partially filled by the strongly correlated fermions or…

强关联电子 · 物理学 2021-09-22 Wei-Wei Luo , Ai-Lei He , Yi-Fei Wang , Yuan Zhou , Chang-De Gong

In two dimensions strongly interacting bosons in a magnetic field can realize a bosonic integer quantum Hall state, the simplest two dimensional example of a symmetry protected topological phase. We propose a realistic implementation of…

量子气体 · 物理学 2015-09-16 A. Sterdyniak , Nigel R. Cooper , N. Regnault

The realization and detection of topological phases with ultracold atomic gases is at the frontier of current theoretical and experimental research. Here, we identify cold atoms in optical ladders subjected to synthetic magnetic fields as…

量子气体 · 物理学 2015-06-16 Dario Hügel , Belén Paredes

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…

强关联电子 · 物理学 2026-01-29 Ying-Xing Ding , Wen-Tong Li , Li-Min Zhang , Yu-Biao Wu , Duanlu Zhou , Lin Zhuang , Wu-Ming Liu

Recent theoretical works have demonstrated various robust Abelian and non-Abelian fractional topological phases in lattice models with topological flat bands carrying Chern number C=1. Here we study hard-core bosons and interacting fermions…

强关联电子 · 物理学 2012-11-07 Yi-Fei Wang , Hong Yao , Chang-De Gong , D. N. Sheng

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…

光学 · 物理学 2021-03-31 Rituraj , Meir Orenstein , Shanhui Fan

A large number of recent works point to the emergence of intriguing analogs of fractional quantum Hall states in lattice models due to effective interactions in nearly flat bands with Chern number C=1. Here, we provide an intuitive and…

强关联电子 · 物理学 2013-01-01 Maximilian Trescher , Emil J. Bergholtz
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