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Physical phenomena driven by topological properties, such as the quantum Hall effect, have the appealing feature to be robust with respect to external perturbations. Lately, a new class of materials has emerged manifesting their topological…

Mesoscale and Nanoscale Physics · Physics 2011-02-17 D. Bercioux , N. Goldman , D. F. Urban

Non-trivial spin structures in itinerant magnets can give rise to topological Hall effect (THE) due to the interacting local magnetic moments and conductive electrons. While, in series of materials, THE has mostly been observed at low…

Strongly Correlated Electrons · Physics 2021-03-16 Gaoshang Gong , Longmeng Xu , Yuming Bai , Yongqiang Wang , Songliu Yuan , Yong Liu , Zhaoming Tian

The study of topological property of band insulators is an interesting branch of condensed matter physics. Two types of topologically nontrivial insulators have been extensively studied. The first type is characterized by a nonzero TKNN…

Materials Science · Physics 2011-11-15 Yi-Dong Wu

When smooth, zero-on-average, periodic magnetic and electric fields are applied to a carbon mono-layer (graphene), a gap between the valence and conduction band is introduced. Here this gapped state is studied analytically. It is found that…

Mesoscale and Nanoscale Physics · Physics 2013-02-25 I. Snyman

The search for robust examples of the magnetic version of topological insulators, referred to as quantum anomalous Hall insulators or simply Chern insulators, so far lacks success. Our groups have explored two distinct possibilities based…

Materials Science · Physics 2018-03-20 W. E. Pickett , K. -W. Lee , R. Pentcheva

We propose the realization of topological quantum states with cold atoms trapped in an optical lattice. We discuss an experimental setup that generates a two-dimensional hexagonal lattice in the presence of a light-induced periodic vector…

Mesoscale and Nanoscale Physics · Physics 2009-07-21 Tudor D. Stanescu , Victor Galitski , J. Y. Vaishnav , Charles W. Clark , S. Das Sarma

We study the interplay of topological band structure and conventional magnetic long-range order in spinful Haldane model with onsite repulsive interaction. Using the dynamical cluster approximation with clusters of up to 24 sites we find…

Strongly Correlated Electrons · Physics 2016-07-07 Jakub Imriška , Lei Wang , Matthias Troyer

We theoretically report that, with \textit{in-plane} magnetization, the quantum anomalous Hall effect (QAHE) can be realized in two-dimensional atomic crystal layers with preserved inversion symmetry but broken out-of-plane mirror…

Mesoscale and Nanoscale Physics · Physics 2017-06-21 Yafei Ren , Junjie Zeng , Xinzhou Deng , Fei Yang , Hui Pan , Zhenhua Qiao

Quantum anomalous Hall (QAH) insulator is the key material to study emergent topological quantum effects, but its ultralow working temperature limits experiments. Here, by first-principles calculations, we find a family of stable…

Materials Science · Physics 2020-08-26 Yang Li , Jiaheng Li , Yang Li , Meng Ye , Fawei Zheng , Zetao Zhang , Jingheng Fu , Wenhui Duan , Yong Xu

Stanene, a single atomic layer of Sn in a honeycomb lattice, is predicted a candidate wide bandgap two-dimensional (2D) topological insulator and can host intriguing topological states of matter such as quantum anomalous Hall effect and…

While the recent advances in topology have led to a classification scheme for electronic bands described by the standard theory of metals, a similar scheme has not emerged for strongly correlated systems such as Mott insulators in which a…

Strongly Correlated Electrons · Physics 2023-04-18 Peizhi Mai , Benjamin E. Feldman , Philip W. Phillips

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…

Mesoscale and Nanoscale Physics · Physics 2025-12-23 Othmane Benhaida , El Hassan Saidi , L. B. Drissi

The experimental observation of topological magnon bands and thermal Hall effect in a kagom\'e lattice ferromagnet Cu(1-3, bdc) has inspired the search for topological magnon effects in various insulating ferromagnets that lack an inversion…

Mesoscale and Nanoscale Physics · Physics 2017-03-29 S. A. Owerre

Many-body interactions in topological quantum systems can give rise to new phases of matter, which simultaneously exhibit both rich spatial features and topological properties. In this work, we consider spinless fermions on a checkerboard…

Quantum Gases · Physics 2020-12-10 Sergi Julià-Farré , Markus Müller , Maciej Lewenstein , Alexandre Dauphin

Topological phenomena in non-Hermitian systems have recently become a subject of great interest in the photonics and condensed-matter communities. In particular, the possibility of observing topologically-protected edge states in…

Mesoscale and Nanoscale Physics · Physics 2020-04-02 Pablo Reséndiz-Vázquez , Konrad Tschernig , Armando Perez-Leija , Kurt Busch , Roberto de J. León-Montiel

Motivated by the recent experimental realization of the Haldane model by ultracold fermions in an optical lattice, we investigate phase diagrams of the hard-core Bose-Hubbard model on a honeycomb lattice. This model is closely related with…

Quantum Gases · Physics 2017-08-02 T. Nakafuji , I. Ichinose

We report the recent progress on the theoretical aspects of monolayer topological insulators including silicene, germanene and stanene, which are monolayer honeycomb structures of silicon, germanium and tin, respectively. They show quantum…

Mesoscale and Nanoscale Physics · Physics 2015-12-25 Motohiko Ezawa

In strongly correlated materials, quasiparticle excitations can carry fractional quantum numbers. An intriguing possibility is the formation of fractionalized, charge-neutral fermions, e.g., spinons and fermionic excitons, that result in…

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…

Mesoscale and Nanoscale Physics · Physics 2022-07-13 Sayan Mondal , Saurabh Basu

We explore the possibility of inducing a topological insulator phase in a honeycomb lattice lacking spin-orbit interaction using a metallic (or Fermi gas) environment. The lattice and the metallic environment interact through a…

Strongly Correlated Electrons · Physics 2016-11-25 T. Pereg-Barnea , G. Refael
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