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Starting from the symmetry aspects and tight-binding method in combination with first-principles calculation, we systematically derive the low-energy effective Hamiltonian involving spin-orbit coupling (SOC) for silicene, which is very…

Materials Science · Physics 2011-11-23 Cheng-Cheng Liu , Hua Jiang , Yugui Yao

We present a combined group-theoretical and tight-binding approach to calculate the intrinsic spin-orbit coupling (SOC) in ABC stacked trilayer graphene. We find that compared to monolayer graphene, a larger set of d orbitals (in particular…

Mesoscale and Nanoscale Physics · Physics 2013-01-21 Andor Kormanyos , Guido Burkard

We introduce a $p_{z}-d$ coupling model Hamiltonian for the $\pi$-graphene/Au bands that predicts a rather large intrinsic spin-orbit (SO) coupling as are being reported in recent experiments and DFT studies. Working within the analytical…

Materials Science · Physics 2019-10-03 Alejandro Lopez , Luis Colmenarez , Mayra Peralta , Francisco Mireles , Ernesto Medina

The negligible intrinsic spin-orbit coupling (SOC) in graphene can be enhanced by proximity effects in stacked heterostructures of graphene and transition metal dichalcogenides (TMDCs). The composition of the TMDC layer plays a key role in…

Mesoscale and Nanoscale Physics · Physics 2022-09-20 Zahra Khatibi , Stephen R. Power

Spin-orbit coupling (SOC) has played an important role in many topological and correlated electron materials. In graphene-based systems, SOC induced by transition metal dichalcogenide (TMD) at proximity was shown to drive topological states…

We analyze the origin of spin-orbit coupling (SOC) in fluorinated graphene using Density Functional Theory (DFT) and a tight-binding model for the relevant orbitals. As it turns out, the dominant source of SOC is the atomic spin-orbit of…

Mesoscale and Nanoscale Physics · Physics 2016-03-16 R. M. Guzmán-Arellano , A. D. Hernández-Nieves , C. A. Balseiro , Gonzalo Usaj

The Hermitian Hamiltonian of a spin one-half particle with spin-orbit coupling (SOC) confined to a surface that is embedded in a three-dimensional space spanned by a general Orthogonal Curvilinear Coordinate (OCC) is constructed. A gauge…

Mesoscale and Nanoscale Physics · Physics 2016-05-04 M. S. Shikakhwa , N. Chair

We consider theoretically the influence of crystalline fields on the electronic structure of graphene placed on a layered material with reduced symmetry and large spin-orbit coupling (SOC). We use a perturbative procedure combined with the…

Mesoscale and Nanoscale Physics · Physics 2018-07-10 Tarik P. Cysne , Aires Ferreira , Tatiana G. Rappoport

Spin-orbit coupling (SOC) can provide essential tools to manipulate electron spins in two-dimensional materials like graphene, which is of great interest for both fundamental physics and spintronics application. In this paper, we report the…

Mesoscale and Nanoscale Physics · Physics 2021-10-12 Shimin Cao , Chuanwu Cao , Shibing Tian , Jian-Hao Chen

Many of the exotic properties proposed to occur in graphene rely on the possibility of increasing the spin orbit coupling (SOC). By combining analytical and numerical tight binding calculations, in this work we study the SOC induced by…

Materials Science · Physics 2016-01-11 Luis Brey

We investigate the electronic dispersion and transport properties of graphene/WSe$_{2}$ heterostructures in the presence of a proximity induced spin-orbit coupling (SOC) using a low-energy Hamiltonian, with different types of symmetry…

Mesoscale and Nanoscale Physics · Physics 2023-07-07 M. Zubair , P. Vasilopoulos , M. Tahir

Inducing and controlling spin-orbit coupling (SOC) in graphene is key to create topological states of matter, and for the realization of spintronic devices. Placing graphene onto a transition metal dichalcogenide is currently the most…

Inducing sizable spin--orbit interactions in graphene by proximity effect is establishing as a successful route to harnessing two-dimensional Dirac fermions for spintronics. Semiconducting transition metal dichalcogenides (TMDs) are an…

Mesoscale and Nanoscale Physics · Physics 2018-12-19 Manuel Offidani , Aires Ferreira

Recently, proximity-induced spin-orbit coupling (SOC) has been observed in heterostructures consisting of monolayer graphene (ML-G) and transition metal dichalcogenides (TMDCs) such as WSe$_{2}$. Successful tuning of SOC in…

The accurate modeling of spin-orbit coupling (SOC) effects in diverse complex systems remains a significant challenge due to the high computational demands of density functional theory (DFT) and the limited transferability of existing…

Materials Science · Physics 2025-04-29 Yang Zhong , Rui Wang , Xingao Gong , Hongjun Xiang

Spin-orbit coupling (SOC) and electron-electron interaction can mutually influence each other and give rise to a plethora of intriguing phenomena in condensed matter systems. In pristine bilayer graphene, which has weak SOC, intrinsic…

A continuum model for the effective spin orbit interaction in graphene is derived from a tight-binding model which includes the $\pi$ and $\sigma$ bands. We analyze the combined effects of the intra-atomic spin-orbit coupling, curvature,…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. Huertas-Hernando , F. Guinea , A. Brataas

The proximity-induced spin-orbit coupling (SOC) in heterostructures of twisted graphene and topological insulators (TIs) Bi$_2$Se$_3$ and Bi$_2$Te$_3$ is investigated from first principles. To build commensurate supercells, we strain…

Mesoscale and Nanoscale Physics · Physics 2023-06-07 Thomas Naimer , Jaroslav Fabian

The electronic band structure of monolayer phosphorene is thoroughly studied by considering the presence of spin-orbit interaction. We employ a multiorbital Slater-Koster tight-binding approach to derive effective k.p-type Hamiltonians that…

Mesoscale and Nanoscale Physics · Physics 2024-08-13 Mayra Peralta , Dennis A. Freire , Rafael González-Hernández , Francisco Mireles

We demonstrate the emergence of the non-Abelian geometric potentials and thus the three-dimensional (3D) spin-orbit coupling (SOC) for ultracold atoms without using the laser beams. This is achieved by subjecting an atom to a periodic…

Quantum Gases · Physics 2019-12-12 Povilas Račkauskas , Viktor Novičenko , Han Pu , Gediminas Juzeliūnas
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