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We theoretically study the effect of magnetic moir\'e superlattice on the topological surface states by introducing a continuum model of Dirac electrons with a single Dirac cone moving in the time-reversal symmetry breaking periodic…

Mesoscale and Nanoscale Physics · Physics 2022-07-15 Zhaochen Liu , Huan Wang , Jing Wang

The topological insulator and strong electronic correlation effect are two important subjects in the frontier studies of modern condensed matter physics. A topological insulator exhibits a unique pair of surface conduction bands with the…

Strongly Correlated Electrons · Physics 2015-09-25 Guan Du , Zengyi Du , Xiong Yang , Enyu Wang , Delong Fang , Huan Yang , Hai-Hu Wen

Fractional Chern insulators are new realizations of fractional quantum Hall states in lattice systems without orbital magnetic field. These states can be mapped onto conventional fractional quantum Hall states through the Wannier state…

Strongly Correlated Electrons · Physics 2014-09-04 Ching Hua Lee , Xiao-Liang Qi

We study the topological properties of a Haldane model on a band deformed dice lattice, which has three atoms per unit cell (call them as A, B and C) and the spectrum comprises of three bands, including a flat band. The bands are…

Mesoscale and Nanoscale Physics · Physics 2023-02-01 Sayan Mondal , Saurabh Basu

The Dirac fermion is an important fundamental particle appearing in high-energy physics and topological insulator physics. In particular, a Dirac fermion in a one-dimensional lattice system exhibits the essential properties of topological…

Quantum Gases · Physics 2018-07-19 Yoshihito Kuno , Ikuo Ichinose , Yoshiro Takahashi

We investigate the interaction between quantum anomalous Hall (QAH) phases hosted by two atomically thin hexagonal lattices and demonstrate the emergence of topological phases with large Chern numbers. Interlayer coupling between two…

Mesoscale and Nanoscale Physics · Physics 2025-12-02 H. Minh Lam , V. Nam Do

Topological phases of light exhibit unique properties beyond the realm of conventional photonics. In particular the valley-Hall topological insulator has been realized in a variety of photonic structures because it can be easily induced by…

Optics · Physics 2020-10-06 Charlie-Ray Mann , Eros Mariani

We introduce a simple method to realize and detect photonic topological Chern insulators with one-dimensional circiut quantum electrodynamics arrays. By periodically modulating the couplings of the array, we show that this one-dimensional…

Quantum Physics · Physics 2015-10-21 Feng Mei , Jia-Bin You , Wei Nie , R. Fazio , Shi-Liang Zhu , L. C. Kwek

Silicene is a monolayer of silicon atoms forming a honeycomb lattice. The lattice is actually made of two sublattices with a tiny separation. Silicene is a topological insulator, which is characterized by a full insulating gap in the bulk…

Mesoscale and Nanoscale Physics · Physics 2012-11-12 Motohiko Ezawa

We investigate the nonequilibrium dynamics of the spinless Haldane model with nearest-neighbor interactions on the honeycomb lattice by employing an unbiased numerical method. In this system, a first-order transition from the Chern…

Strongly Correlated Electrons · Physics 2021-09-29 Can Shao , P. D. Sacramento , Rubem Mondaini

Topologically protected one-way transportation of sound, mimicking the topological properties of the condensed matter, has received greatly attentions. Thus far, the topological phases and the topological edge states of sound are yielded in…

Materials Science · Physics 2018-04-18 Bai-Zhan Xia , Sheng-Jie Zheng , Ning Chen , Ting-Ting Liu , Jun-Rui Jiao , Hong-Qing Dai , De-Jie Yu , Jian Liu

We introduce exotic gapless states---`composite Dirac liquids'---that can appear at a strongly interacting surface of a three-dimensional electronic topological insulator. Composite Dirac liquids exhibit a gap to all charge excitations but…

Strongly Correlated Electrons · Physics 2015-03-02 David F. Mross , Andrew Essin , Jason Alicea

Two-dimensional (2D) Dirac states and Dirac points with linear dispersion are the hallmark of graphene, topological insulators, semimetals, and superconductors. Lowering a symmetry by the ferroelectric polarization opens the gap in Dirac…

Mesoscale and Nanoscale Physics · Physics 2025-07-03 Konstantin S. Denisov , Yuntian Liu , Igor Žutić

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…

Quantum Gases · Physics 2016-08-10 Mantas Račiūnas , Giedrius Žlabys , André Eckardt , Egidijus Anisimovas

We investigate topological properties of a chiral honeycomb lattice model with next-nearest-neighbor hoppings characterized by the reflection symmetry breaking. Topological nontriviality is detected by analyzing effective Dirac Hamiltonian,…

Mesoscale and Nanoscale Physics · Physics 2024-08-01 Genki Yonezawa , Jun-ichi Fukuda , Toshikaze Kariyado

In this paper we propose an exactly solvable model of a topological insulator defined on a spin-1/2 square decorated lattice. Itinerant fermions defined in the framework of the Haldane model interact via the Kitaev interaction with spin-1/2…

Strongly Correlated Electrons · Physics 2014-10-17 Igor N. Karnaukhov , Igor O. Slieptsov

One of the most intriguing advantage of Floquet engineering is to generate new phases with large topological invariants. In this work, we experimentally simulate a periodically quenched generalized Haldane model on an NV center in diamond,…

We study the superfluid properties of attractively interacting fermions hopping in a family of 2D and 3D lattices in the presence of synthetic gauge fields having \pi-flux per plaquette. The reason for such a choice is that the \pi-flux…

Strongly Correlated Electrons · Physics 2013-07-31 Gabriel Mazzucchi , Luca Lepori , Andrea Trombettoni

Graphene can be turned into a semimetal with broken time-reversal symmetry by adding a valley-dependent pseudo-scalar potential that shifts the Dirac point energies in opposite directions, as in the modified Haldane model. We consider a…

Mesoscale and Nanoscale Physics · Physics 2023-01-16 Marwa Mannaï , Jean-Noël Fuchs , Frédéric Piéchon , Sonia Haddad

The Haldane model on a honeycomb lattice is a paradigmatic example of a system featuring quantized Hall conductivity in the absence of an external magnetic field, that is, a quantum anomalous Hall effect. Recent theoretical work predicted…

Mesoscale and Nanoscale Physics · Physics 2018-08-15 Luis M. Canonico , José H. García , Tatiana G. Rappoport , Aires Ferreira , R. B. Muniz