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It is shown that the semimetallic state of the two-dimensional honeycomb lattice with a point-like Fermi surface is unstable towards a canted antiferromagnetic insulator upon application of an in-plane magnetic field. This instability is…

Strongly Correlated Electrons · Physics 2009-07-16 M. Bercx , T. C. Lang , F. F. Assaad

We consider the effect of spin-orbit coupling on a two-dimensional Kondo Lattice model, in which conduction electrons are antiferromagnetically coupled to a Yao-Lee spin liquid. When a Rashba spin-orbit interaction and a nearest-neighbor…

Strongly Correlated Electrons · Physics 2025-01-07 Zekun Zhuang , Piers Coleman

A conventional and rotating magnetoelectric effect of a half-filled spin-electron model on a doubly decorated square lattice is investigated by exact calculations. An importance of the electron hopping and spatial orientation of the…

Statistical Mechanics · Physics 2020-08-31 Hana Čenčariková , Jozef Strečka

We study the effects of spin orbit interactions on the low energy electronic structure of a single plane of graphene. We find that in an experimentally accessible low temperature regime the symmetry allowed spin orbit potential converts…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 C. L. Kane , E. J. Mele

The energy spectra of transition metal dichalcogenides are primarily influenced by the and orbitals. This results in a three-band model characterized by strong spin-orbit interaction. Investigating these bands using a projection into a…

Mesoscale and Nanoscale Physics · Physics 2023-11-22 Phusit Nualpijit , Kitakorn Jatiyanon , Bumned Soodchomshom

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

We investigate magnetic properties of strongly interacting four component spin-3/2 ultracold fermionic atoms in the Mott insulator limit with one particle per site in an optical lattice with honeycomb symmetry. In this limit, atomic…

Quantum Gases · Physics 2016-03-01 D. Jakab , E. Szirmai , M. Lewenstein , G. Szirmai

Here, we elaborate on and develop the geometrical approach introduced in K. Le Hur, Physics Reports 1104 1-42 (2025) between the magnetic monopole created from a radial field, quantum physics and topological lattice models through quantum…

Mesoscale and Nanoscale Physics · Physics 2026-01-29 Karyn Le Hur , Andrea Baldanza

Local spin and charge densities on a two-dimensional honeycomb lattice are calculated by the Landauer-Keldysh formalism (LKF). Through the empirical tight-binding method, we show how the realistic band structure can be brought into the LKF.…

Mesoscale and Nanoscale Physics · Physics 2007-09-08 Ming-Hao Liu , Gustav Bihlmayer , Stefan Blügel , Ching-Ray Chang

The search for large gap quantum spin Hall (QSH) and quantum anomalous Hall (QAH) insulators is important both for fundamental and practical interests. The degenerate multi-orbitals $p_x,p_y$ in honeycomb lattice provides a paradigm for QSH…

Mesoscale and Nanoscale Physics · Physics 2021-06-04 Huan Wang , Jing Wang

In this paper we theoretically describe a distinct class of two-dimensional N\'{e}el ordered metallic antiferromagnets on a honeycomb-like lattice in which the two sublattices are connected only by a combination of time-reversal and mirror…

Mesoscale and Nanoscale Physics · Physics 2025-02-27 Vladimir A. Zyuzin

This paper investigates the pseudo-spin based edge states for flexural waves in a honeycomb perforated phononic plate, which behaves an elastic analogue of the quantum spin Hall effect. We utilize finite element method to analyse the…

Applied Physics · Physics 2018-07-20 Linyun Yang , Kaiping Yu , Ying Wu , Rui Zhao , Shuaishuai Liu

The impact of local and nonlocal density-density interactions on the electronic instabilities in the honeycomb lattice is widely investigated. Some early studies proposed the emergence of interaction-induced topologically nontrivial phases,…

Strongly Correlated Electrons · Physics 2019-08-07 Song-Jin O , Yong-Hwan Kim , Ho-Yong Rim , Hak-Chol Pak , Song-Jin Im

The discovery that spin-orbit coupling can generate a new state of matter in the form of quantum spin-Hall (QSH) insulators has brought topology to the forefront of condensed matter physics. While QSH states from spin-orbit coupling can be…

Strongly Correlated Electrons · Physics 2019-06-18 Yuhai Liu , Zhenjiu Wang , Toshihiro Sato , Martin Hohenadler , Chong Wang , Wenan Guo , Fakher F. Assaad

The one-dimensional Kondo lattice model with attractive interaction among the conduction electrons is analyzed in the case of half-filling. It is shown that there are three distinct phases depending on the coupling constants of the model.…

Strongly Correlated Electrons · Physics 2009-10-30 N. Shibata , M. Sigrist , E. Heeb

The physical nature of doped Mott-insulator has been intensively studied for more than three decades. It is well known that the single band Hubbard model or $t$-$J$ model on the bipartite lattice is the simplest model to describe a doped…

Strongly Correlated Electrons · Physics 2023-01-09 Jian-Jian Miao , Zheng-Yuan Yue , Hao Zhang , Wei-Qiang Chen , Zheng-Cheng Gu

We present an antiferromagnetic quantum spin-1/2 model on honeycomb lattice. It has two parts, one of which is the usual nearest-neighbor Heisenberg model. The other part is a certain multiple spin interaction term, introduced by us, which…

Strongly Correlated Electrons · Physics 2015-05-13 Rakesh Kumar , Dushyant Kumar , Brijesh Kumar

To assess prior mean-field claims that the interacting Kane-Mele model hosts a novel $z-$antiferromagnetic (AFM) Chern insulating phase for a wide range of sub-lattice potentials, we analyze the Kane-Mele-Hubbard model in the presence of a…

Strongly Correlated Electrons · Physics 2025-07-29 Peizhi Mai , Jinchao Zhao , Philip W. Phillips

Based on a rigorous quantum-kinetic approach, spin-charge coupled drift-diffusion equations are derived for a strongly confined two-dimensional hole gas. An electric field leads to a coupling between the spin and charge degrees of freedom.…

Statistical Mechanics · Physics 2009-11-13 P. Kleinert , V. V. Bryksin

Spin-orbit coupling in solids is typically a single-body effect arising from relativity. In this work, we propose a spontaneous generation of spin-orbit coupling from symmetry breaking. A spin-dependent electron-phonon coupling model is…

Strongly Correlated Electrons · Physics 2024-10-23 Xiangyu Zhang , Da Wang , Congjun Wu