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By using the cluster perturbation theory, we investigate the effects of the local electron-phonon interaction in the quantum spin Hall topological insulator described by the half-filled Kane-Mele model on an honeycomb lattice. Starting from…

强关联电子 · 物理学 2019-05-07 L. M. Cangemi , A. S. Mishchenko , N. Nagaosa , V. Cataudella , G. De Filippis

We study the half-filled Haldane-Holstein model, where a paradigmatic Chern insulator is coupled to fully dynamical phonons, and provide an unbiased characterization of how retarded electron-phonon interactions destabilize Chern topology.…

We investigate a second-order topological quantum transition of a modified Kane-Mele model driven by electron-phonon interaction. The results show that the system parameters of the bare modified Kane-Mele model are renormalized by the…

介观与纳米尺度物理 · 物理学 2023-03-28 Congwei Lu , Mei Zhang , Haibo Wang , Qing Ai , Tao Liu

Haldane model is a noninteracting model for spinless fermions showing nontrivial topological properties. Effect of the electron-electron interaction on the topological phase poses an intriguing question. By means of the Hartree-Fock mean…

强关联电子 · 物理学 2010-12-24 Lei Wang , Hao Shi , Shiwei Zhang , Xiaoqun Wang , Xi Dai , X. C. Xie

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…

介观与纳米尺度物理 · 物理学 2025-12-23 Othmane Benhaida , El Hassan Saidi , L. B. Drissi

In this study, we examine the introduction of the Haldane model into the dice lattice by altering the flow between the next-nearest-neighbour sites. This breaks the lattice's inversion and time-reversal symmetries. We demonstrate the…

其他凝聚态物理 · 物理学 2026-04-27 Othmane Benhaida , Lalla Btissam Drissi , El Hassan Saidi

The topological Haldane model (THM) on a honeycomb lattice is a prototype of systems hosting topological phases of matter without external fields. It is the simplest model exhibiting the quantum Hall effect without Landau levels, which…

强关联电子 · 物理学 2017-04-12 Heung-Sik Kim , Hae-Young Kee

We study topological properties and the topological phase transitions therein for a semi-Dirac Haldane model on a honeycomb lattice in presence of an extended range (third neighbour) hopping. While in the absence of a third neighbour…

介观与纳米尺度物理 · 物理学 2022-07-13 Sayan Mondal , Saurabh Basu

We present a model for a Chern insulator on the square lattice with complex first and second neighbor hoppings and a sublattice potential which displays an unexpectedly rich physics. Similarly to the celebrated Haldane model, the proposed…

介观与纳米尺度物理 · 物理学 2025-02-19 Miguel Gonçalves , Pedro Ribeiro , Eduardo V. Castro

We study the topological properties of the Haldane and modified Haldane models in $\alpha$-$T_{3}$ lattice. The band structures and phase diagrams of the system are investigated. Individually, each model undergoes a distinct phase…

强关联电子 · 物理学 2023-12-12 Kok Wai Lee , Pei-Hao Fu , Yee Sin Ang

The spontaneous generation of charge-density-wave order in a Dirac fermion system via the natural mechanism of electron-phonon coupling is studied in the framework of the Holstein model on the honeycomb lattice. Using two independent and…

强关联电子 · 物理学 2019-02-21 Chuang Chen , Xiao Yan Xu , Zi Yang Meng , Martin Hohenadler

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 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…

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

The Haldane model of the Chern insulator is considered on the Lieb and honeycomb lattices. We provide a detailed analysis of the model's ground-state phase diagram and demonstrate a scenario of the topological phase transitions in the…

强关联电子 · 物理学 2015-10-27 Igor N. Karnaukhov , Igor O. Slieptsov

The phase transition driven by electron correlations in a Chern insulator is investigated within the dynamical mean-field theory. The Chern insulator is described by the Haldane model and the electron correlations are incorporated by…

强关联电子 · 物理学 2013-12-25 Hong-Son Nguyen , Minh-Tien Tran

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…

量子气体 · 物理学 2013-01-15 N. Goldman , E. Anisimovas , F. Gerbier , P. Ohberg , I. B. Spielman , G. Juzeliunas

We report the appearance of nontrivial topological phases in a tight-binding model on the stuffed honeycomb lattice. The model contains nearest neighbor and next nearest neighbor hopping terms coupled with an additional phase depending on…

强关联电子 · 物理学 2020-01-06 Arghya Sil , Asim Kumar Ghosh

Here we study the systematic evolution of the topological properties of a Chern insulator in presence of an electronic dispersion that can be tuned smoothly from being Dirac-like till a semi-Dirac one and beyond. The band structure under…

介观与纳米尺度物理 · 物理学 2022-03-31 Sayan Mondal , Priyadarshini Kapri , Bashab Dey , Tarun Kanti Ghosh , Saurabh Basu

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…

强关联电子 · 物理学 2021-09-29 Can Shao , P. D. Sacramento , Rubem Mondaini

Fermions hopping on a hexagonal lattice represent one of the most active research field in condensed matter since the discovery of graphene in 2004 and its numerous applications. Another exciting aspect of the interplay between geometry and…

强关联电子 · 物理学 2016-11-29 Sylvain Capponi
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