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Emergence of multiple topological phases with a series of Chern numbers, $\pm 1$, $\mp 1$, $\pm 2$, $\mp 2$, $\pm 3$ and $\mp 4$, are observed in a ferromagnetic Kitaev-Heisenberg-spin-anisotropic model on honeycomb lattice with further…

Mesoscale and Nanoscale Physics · Physics 2020-01-06 Moumita Deb , Asim Kumar Ghosh

There is strong interest in discovering or designing wide gap Chern insulators. Here we follow a Chern insulator to trivial Mott insulator transition versus interaction strength U in a honeycomb lattice Fe-based transition metal oxide,…

Strongly Correlated Electrons · Physics 2016-09-26 Young-Joon Song , Kyo-Hoon Ahn , W. E. Pickett , K. -W. Lee

Higher-dimensional topological phases play a key role in understanding the lower-dimensional topological phases and the related topological responses through a dimensional reduction procedure. In this work, we present a Dirac-type model of…

Mesoscale and Nanoscale Physics · Physics 2022-11-11 Yan-Qing Zhu , Zhen Zheng , Giandomenico Palumbo , Z. D. Wang

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

In this paper we explore the effects of quasiperiodicity in paradigmatic models of Chern insulators. We identify a plethora of topological phase transitions and characterize them based on spectral and localization properties. Contrary to…

Disordered Systems and Neural Networks · Physics 2022-12-16 Tiago S. Gonçalves , Miguel Gonçalves , Pedro Ribeiro , Bruno Amorim

We investigate topological states of two-dimensional (2D) triangular lattices with multi-orbitals. Tight-binding model calculations of a 2D triangular lattice based on $\emph{p}_{x}$ and \emph{p}_{y} orbitals exhibit very interesting doubly…

Mesoscale and Nanoscale Physics · Physics 2018-03-29 Jiayong Zhang , Bao Zhao , Yang Xue , Tong Zhou , Zhongqin Yang

Two-dimensional magnetic insulators can be promising hosts for topological magnons. In this study, we show that ABC-stacked honeycomb lattice multilayers with alternating Dzyaloshinskii-Moriya interaction (DMI) reveal a rich topological…

Mesoscale and Nanoscale Physics · Physics 2021-08-19 Stephen Hofer , Trinanjan Datta , Sumanta Tewari , Dipanjan Mazumdar

In this paper we propose an exactly soluble model in two-dimensional honeycomb lattice, from which two phases are found. One is the usual Chern/topological insulating state and the other is an interesting $Z_2$ fractionalized…

Strongly Correlated Electrons · Physics 2013-07-10 Yin Zhong , Yu-Feng Wang , Hong-Gang Luo

In recent years, Floquet engineering has attracted considerable attention as a promising approach for tuning topological phase transitions. In this work, we investigate the effects of high-frequency time-periodic driving in a…

Mesoscale and Nanoscale Physics · Physics 2024-01-09 Zheng-Rong Liu , Rui Chen , Bin Zhou

In this work, we study the topological properties and magnon Hall effect of a three-dimensional ferromagnet in the ABC stacking honeycomb lattice, motivated by the recent inelastic neutron scattering study of CrI$_3$. We show that the…

Strongly Correlated Electrons · Physics 2021-09-23 Shuyi Li , Andriy H. Nevidomskyy

We examine the combined effects of a Kekule coupling texture (KC) and a Dzyaloshinskii-Moriya interaction (DMI) in a two-dimensional ferromagnetic honeycomb lattice. By analyzing the gap closing conditions and the inversions of the bulk…

Mesoscale and Nanoscale Physics · Physics 2019-01-18 Pierre A. Pantaleon , Ramon Carrillo-Bastos , Y. Xian

Effects of an open surface on a magnetic Chern insulator are investigated in comparison with those of an interface to a capping magnetic layer. In magnets, an open surface often perturbs the magnetic order by a reconstruction of the…

Strongly Correlated Electrons · Physics 2015-06-23 Ryo Ozawa , Masafumi Udagawa , Yutaka Akagi , Yukitoshi Motome

We study the effects of extended and localized potentials and a magnetic field on the Dirac electrons residing at the surface of a three-dimensional topological insulator. We use a lattice model to numerically study the various states; we…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Ranjani Seshadri , Diptiman Sen

We investigate in detail the $\nu=+1$ displacement-field-tuned interacting phase diagram of $L=3,4,5,6,7$ layer rhombohedral graphene aligned to hBN (R$L$G/hBN). Our calculations account for the 3D nature of the Coulomb interaction, the…

Strongly Correlated Electrons · Physics 2025-10-08 Yves H. Kwan , Jiabin Yu , Jonah Herzog-Arbeitman , Dmitri K. Efetov , Nicolas Regnault , B. Andrei Bernevig

A common feature of topological insulators is that they are characterized by topologically invariant quantity such as the Chern number and the $\mathbb{Z}_2$ index. This quantity distinguishes a nontrivial topological system from a trivial…

Strongly Correlated Electrons · Physics 2018-05-24 S. A. Owerre

In this work, we study the topological phases of the dimerized square lattice in the presence of an external magnetic field. The dimerization pattern in the lattice's hopping amplitudes can induce a series of bulk energy gap openings in the…

Mesoscale and Nanoscale Physics · Physics 2021-07-29 Zheng-Wei Zuo , Wladimir A. Benalcazar , Yunzhe Liu , Chao-Xing Liu

We demonstrate that a Chern insulator could be realized on a real two-dimensional lattice of an organic Dirac semimetal {\alpha}-(BEDT-TTF)2I3 by introducing potential and magnetic modulations in a unit cell. It is a…

Materials Science · Physics 2017-11-22 Toshihito Osada

Two-dimensional (2D) Heisenberg honeycomb ferromagnets are expected to have interesting topological magnon effects as their magnon dispersion can have Dirac points. The Dirac points are gapped with finite second nearest neighbor…

Strongly Correlated Electrons · Physics 2023-05-22 Ysun Choi , Heejun Yang , Jaena Park , Je-Geun Park

We investigate the properties of a two-dimensional quasicrystal in the presence of a uniform magnetic field. In this configuration, the density of states (DOS) displays a Hofstadter butterfly-like structure when it is represented as a…

Mesoscale and Nanoscale Physics · Physics 2015-03-18 Duc-Thanh Tran , Alexandre Dauphin , Nathan Goldman , Pierre Gaspard

The ground state of large Hubbard $U$ limit of a honeycomb lattice near half-filling is known to be a singlet $d+id$-wave superconductor. It is also known that this $d+id$ superconductor exhibits a chiral $p+ip$ pairing locally at the Dirac…

Superconductivity · Physics 2016-02-24 Shin-Ming Huang , Wei-Feng Tsai , Chung-Hou Chung , Chung-Yu Mou
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