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The Haldane model on the honeycomb lattice is a paradigmatic example of a Hamiltonian featuring topologically distinct phases of matter. It describes a mechanism through which a quantum Hall effect can appear as an intrinsic property of a…

The Chern insulator displays a quantized Hall effect without Landau levels. In a landmark paper in 1988, Haldane showed that a Chern insulator could be realized through complex next-nearest-neighbor hopping in a honeycomb lattice. Despite…

We design an ingenious scheme to realize the Haldane's quantum Hall model without Landau level by using ultracold atoms trapped in an optical lattice. Three standing-wave laser beams are used to construct a wanted honeycomb lattice, where…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 L. B. Shao , Shi-Liang Zhu , L. Sheng , D. Y. Xing , Z. D. Wang

The seminal Haldane model brings up a paradigm beyond the quantum Hall effect to look for a plethora of topological phases in the honeycomb and other lattices. Here we dwell into this model considering a full parameter space in the presence…

Mesoscale and Nanoscale Physics · Physics 2025-03-04 Tanay Nag , Saptarshi Mandal

Ultracold fermions trapped in a honeycomb optical lattice constitute a versatile setup to experimentally realize the Haldane model [Phys. Rev. Lett. 61, 2015 (1988)]. In this system, a non-uniform synthetic magnetic flux can be engineered…

Quantum Gases · Physics 2013-01-15 N. Goldman , E. Anisimovas , F. Gerbier , P. Ohberg , I. B. Spielman , G. Juzeliunas

The Haldane model is the simplest yet most powerful topological lattice model exhibiting various phases, including the Dirac semimetal phase and the anomalous quantum Hall phase (also known as the Chern insulator). Although considered…

Optics · Physics 2025-04-28 Rujiang Li , Wencai Wang , Xiangyu Kong , Bo Lv , Yongtao Jia , Huibin Tao , Pengfei Li , Ying Liu

We show that a thin film of a three-dimensional topological insulator (3DTI) with an exchange field is a realization of the famous Haldane model for quantum Hall effect (QHE) without Landau levels. The exchange field plays the role of…

Mesoscale and Nanoscale Physics · Physics 2011-08-23 Huichao Li , L. Sheng , D. Y. Xing

Quantum anomalous Hall effect, with a trademark of dissipationless chiral edge states for electronics/spintronics transport applications, can be realized in materials with large spin-orbit coupling and strong intrinsic magnetization. After…

Mesoscale and Nanoscale Physics · Physics 2021-01-05 Muhammad Nadeem , Alex R. Hamilton , Michael S. Fuhrer , Xiaolin Wang

The Chern insulator displays a quantum Hall effect with no net magnetic field. Proposed by Haldane over 20 years ago, it laid the foundation for the fields of topological order, unconventional quantum Hall effects, and topological…

Mesoscale and Nanoscale Physics · Physics 2013-09-30 Anthony R. Wright

In this Letter we present a comprehensive study of topological magnon bands and thermal Hall effect in non-collinear antiferromagnetic systems on the honeycomb lattice with an intrinsic Dzyaloshinskii-Moriya interaction. We theoretically…

Mesoscale and Nanoscale Physics · Physics 2017-06-14 S. A. Owerre

We engineer topological insulating phases in a fermion-fermion mixture on the honeycomb lattice, without resorting to artificial gauge fields or spin-orbit couplings and considering only local interactions. Essentially, upon integrating out…

Strongly Correlated Electrons · Physics 2016-05-26 Tianhan Liu , Benoît Douçot , Karyn Le Hur

Topological insulators have attracted abundant attention for a variety of reasons -- notably, the possibility for lossless energy transport through edge states `protected' against disorder. Topological effects like the Quantum Hall state…

Mesoscale and Nanoscale Physics · Physics 2016-02-23 Momchil Minkov , Vincenzo Savona

In condensed matter physics many features can be understood in terms of their topological properties. Here we report evidence of a topological quantum transition driven by the charge-phonon coupling in the spinless Haldane model on a…

Strongly Correlated Electrons · Physics 2019-07-31 L. M. Cangemi , A. S. Mishchenko , N. Nagaosa , V. Cataudella , G. De Filippis

A two-dimensional honeycomb lattice composed of gyrotropic rods is studied. Beginning with Maxwell's equations, a perturbed Wannier method is introduced which yields a tight-binding model with nearest and next-nearest neighbors. The…

Optics · Physics 2023-07-18 M. J. Ablowitz , J. T. Cole

The realization of synthetic gauge fields has attracted a lot of attention recently in relation with periodically driven systems and the Floquet theory. In ultra-cold atom systems in optical lattices and photonic networks, this allows to…

Quantum Gases · Physics 2017-01-11 Kirill Plekhanov , Guillaume Roux , Karyn Le Hur

As one of paradigmatic phenomena in condensed matter physics, the quantum anomalous Hall effect (QAHE) in stoichiometric Chern insulators has drawn great interest for years. By using model Hamiltonian analysis and first-principle…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Hongyi Sun , Bowen Xia , Zhongjia Chen , Yingjie Zhang , Pengfei Liu , Qiushi Yao , Hong Tang , Yujun Zhao , Hu Xu , Qihang Liu

We study strong correlation effects in topological insulators via the Lanczos algorithm, which we utilize to calculate the exact many-particle ground-state wave function and its topological properties. We analyze the simple, noninteracting…

Strongly Correlated Electrons · Physics 2010-09-29 Christopher N. Varney , Kai Sun , Marcos Rigol , Victor Galitski

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

The recent discoveries about topological insulators have been promoting theoretical and experimental research. In this dissertation, the basic concepts of topological insulators and the Quantum Hall Effect are reviewed focusing the…

Mesoscale and Nanoscale Physics · Physics 2022-05-04 Manuel B. Santos

In this work we consider a system of spinless fermions with nearest and next-to-nearest neighbor repulsive Hubbard interactions on a honeycomb lattice, and propose and analyze a realistic scheme for analog quantum simulation of this model…

Strongly Correlated Electrons · Physics 2012-12-13 A. Dauphin , M. Müller , M. A. Martin-Delgado
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