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In this work, we explore the rich variety of topological states that arise in two-dimensional systems, by considering the competing effects of spin-orbit couplings and a perpendicular magnetic field on a honeycomb lattice. Unlike earlier…

Mesoscale and Nanoscale Physics · Physics 2012-08-21 W. Beugeling , N. Goldman , C. Morais Smith

The spin Hall effect is investigated in a two-orbital tight-binding model on a honeycomb lattice. We show that the model exhibits three topologically-different insulating phases at half filling, which are distinguished by different…

Strongly Correlated Electrons · Physics 2015-04-15 Satoru Hayami , Hiroaki Kusunose , Yukitoshi Motome

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

We provide a self-consistent mean-field framework to study the effect of strong interactions in a quantum spin Hall insulator on the honeycomb lattice. We identify an exotic phase for large spin-orbit coupling and intermediate Hubbard…

Strongly Correlated Electrons · Physics 2012-01-26 Andreas Rüegg , Gregory A. Fiete

We show that edges of Quantum Spin Hall topological insulators represent a natural platform for realization of exotic supersolid phase. On one hand, fermionic edge modes are helical due to the nontrivial topology of the bulk. On the other…

Mesoscale and Nanoscale Physics · Physics 2018-09-12 O. M. Yevtushenko , A. M. Tsvelik

We investigate spinon band topology and engineering from the interplay between long-ranged magnetic order and fractionalized spinons, as well as Zeeman coupling under external magnetic fields, in honeycomb lattice magnets. The synergism of…

Strongly Correlated Electrons · Physics 2020-10-21 Yong Hao Gao , Xu Ping Yao , Gang Chen

Topological spin textures, like skyrmions, have significant potential for spintronics applications. The main purpose of this work is to study further the topological spin textures on the discrete lattice with magnetic fields. In this work,…

Strongly Correlated Electrons · Physics 2022-04-26 Lipeng Jin , Bin Xi , Yongjun Liu

We show how quasi-one-dimensional correlated insulating states arise at two-thirds filling in organometallic multinuclear coordination complexes described by layered decorated honeycomb lattices. The interplay of spin-orbit coupling and…

Strongly Correlated Electrons · Physics 2016-11-09 J. Merino , A. C. Jacko , A. L. Khosla , B. J. Powell

We study the topological properties of Rashba spin-orbit coupling and exchange coupling induced pseudospin-$1$ system Dice lattice under the influence of a staggered electric potential and magnetization. The band structure and topological…

Mesoscale and Nanoscale Physics · Physics 2025-08-05 Puspita Parui , Bheema Lingam Chittari

We consider spin Hall effect in a system of massless Dirac fermions in a graphene lattice. Two types of spin-orbit interaction, pertinent to the graphene lattice, are taken into account - the intrinsic and Rashba terms. Assuming perfect…

Materials Science · Physics 2015-05-14 A. Dyrdal , V. K. Dugaev , J. Barnas

Topological phases are greatly enriched by including non-Hermiticity. While most works focus on the topology of the eigenvalues and eigenstates, how topologically nontrivial non-Hermitian systems behave in dynamics has only drawn limited…

Mesoscale and Nanoscale Physics · Physics 2023-08-16 Tian-Rui Liu , Kai Bai , Jia-Zheng Li , Liang Fang , Duanduan Wan , Meng Xiao

We study the interplay between spin-orbit coupling (SOC) and Coulomb repulsion in a Hubbard model on a decorated honeycomb lattice which leads to a plethora of phases. While a quantum spin hall insulator is stable at weak Coulomb repulsion…

Strongly Correlated Electrons · Physics 2020-08-05 Manuel Fernandez Lopez , Jaime Merino

Research on graphene has revealed remarkable phenomena arising in the honeycomb lattice. However, the quantum spin Hall effect predicted at the K point could not be observed in graphene and other honeycomb structures of light elements due…

Mesoscale and Nanoscale Physics · Physics 2015-03-23 W. Beugeling , E. Kalesaki , C. Delerue , Y. -M. Niquet , D. Vanmaekelbergh , C. Morais Smith

Topology can manifest topological magnetism (e.g., skyrmion and bimeron) in real space and quantum anomalous Hall (QAH) state in momentum space, which have changed the modern conceptions of matter phase. While the topologies in different…

Materials Science · Physics 2024-07-15 Zhonglin He , Wenhui Du , Kaiying Dou , Ying Dai , Baibiao Huang , Yandong Ma

Motivated by the growing interest in the novel quantum phases in materials with strong electron correlations and spin-orbit coupling, we study the interplay between the spin-orbit coupling, Kondo interaction, and magnetic frustration of a…

Strongly Correlated Electrons · Physics 2019-09-04 Xin Li , Rong Yu , Qimiao Si

We show how spin-orbit coupling and Berry phase can appear in two-dimensional optical lattices by coupling atoms' internal degrees of freedom to radiation. The Rashba Hamiltonian, a standard description of spin-orbit coupling for…

Soft Condensed Matter · Physics 2007-05-23 Artem M. Dudarev , Roberto B. Diener , Iacopo Carusotto , Qian Niu

We classify the magnetic ground states of a 2D lattice of localized magnetic moments which are coupled to a superconducting substrate with Rashba-spin-orbit coupling. We discover a rich magnetic phase diagram with surprisingly complex…

We study the combined effects of lattice deformation, e-e interaction and spin-orbit coupling in a two-dimensional (2D) honeycomb lattice. We adopt different kinds of hopping modulation--generalized dimerization and a Kekule distortion--and…

Strongly Correlated Electrons · Physics 2015-03-09 F. Grandi , F. Manghi , O. Corradini , C. M. Bertoni

We investigate Rashba spin-orbit coupled Fermi gases in square optical lattice by using the determinant quantum Monte Carlo (DQMC) simulations which is free of the sign-problem. We show that the Berezinskii-Kosterlitz-Thoules phase…

Quantum Gases · Physics 2014-08-26 Ho-Kin Tang , Xiaosen Yang , Jinhua Sun , Hai-Qing Lin

Based on the tight-binding formalism, we study the effect of side potential on the spin and valley related electronic property of $2$D honeycomb lattices with intrinsic spin-orbit coupling, such as silicene and germanene. The side potential…

Mesoscale and Nanoscale Physics · Physics 2025-09-05 Wei-Tao Lu , Qing-Feng Sun , Yun-Fang Li , Hong-Yu Tian
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