Radial Rashba spin-orbit fields in commensurate twisted transition-metal dichalcogenide bilayers

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Main Authors: Naimer, Thomas, Junior, Paulo E. Faria, Zollner, Klaus, Fabian, Jaroslav
Format: Preprint
Published: 2025
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author Naimer, Thomas
Junior, Paulo E. Faria
Zollner, Klaus
Fabian, Jaroslav
author_facet Naimer, Thomas
Junior, Paulo E. Faria
Zollner, Klaus
Fabian, Jaroslav
contents In commensurate twisted homobilayers, purely radial Rashba spin-orbit fields can emerge. We employ first-principles calculations to investigate the band structures and the spin-orbit fields close to the high-symmetry points $K$ and $Γ$ of several commensurate twisted transition-metal dichalcogenide homobilayers: WSe$_2$, NbSe$_2$, and WTe$_2$. The observed in-plane spin textures are mostly radial, and the main features are successfully reproduced using a model Hamiltonian based on two effective mass models including spin-orbit coupling, and a general (spin-conserving) interlayer coupling. Extracting the model Hamiltonian parameters through fitting of several twisted supercells, we find a twist angle dependency of the magnitude of the radial Rashba field, which is symmetric not only around the untwisted cases ($Θ=0^\circ$ and $Θ=60^\circ$), but also around $Θ=30^\circ$. Furthermore, we observe that the interlayer coupling between the $K/K'$-points of the two layers decreases with the increase of the size of the commensurate supercells. Hence, peaks of high interlayer coupling can occur only for twist angles, where small commensurate supercells are possible. Exploring different lateral displacements between the layers, we confirm that the relevant symmetry protecting the radial Rashba is an in-plane 180$^\circ$ rotation axis. We additionally investigate the effects of atomic relaxation and modulation of the interlayer distance. Our calculations on WTe$_2$ bilayers show that their lack of $C_3$ symmetry results in spin textures that are neither radial nor tangential. Our results offer fundamental microscopic insights that are particularly relevant to engineering spin-charge conversion schemes based on twisted layered materials.
format Preprint
id arxiv_https___arxiv_org_abs_2509_10068
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Radial Rashba spin-orbit fields in commensurate twisted transition-metal dichalcogenide bilayers
Naimer, Thomas
Junior, Paulo E. Faria
Zollner, Klaus
Fabian, Jaroslav
Mesoscale and Nanoscale Physics
In commensurate twisted homobilayers, purely radial Rashba spin-orbit fields can emerge. We employ first-principles calculations to investigate the band structures and the spin-orbit fields close to the high-symmetry points $K$ and $Γ$ of several commensurate twisted transition-metal dichalcogenide homobilayers: WSe$_2$, NbSe$_2$, and WTe$_2$. The observed in-plane spin textures are mostly radial, and the main features are successfully reproduced using a model Hamiltonian based on two effective mass models including spin-orbit coupling, and a general (spin-conserving) interlayer coupling. Extracting the model Hamiltonian parameters through fitting of several twisted supercells, we find a twist angle dependency of the magnitude of the radial Rashba field, which is symmetric not only around the untwisted cases ($Θ=0^\circ$ and $Θ=60^\circ$), but also around $Θ=30^\circ$. Furthermore, we observe that the interlayer coupling between the $K/K'$-points of the two layers decreases with the increase of the size of the commensurate supercells. Hence, peaks of high interlayer coupling can occur only for twist angles, where small commensurate supercells are possible. Exploring different lateral displacements between the layers, we confirm that the relevant symmetry protecting the radial Rashba is an in-plane 180$^\circ$ rotation axis. We additionally investigate the effects of atomic relaxation and modulation of the interlayer distance. Our calculations on WTe$_2$ bilayers show that their lack of $C_3$ symmetry results in spin textures that are neither radial nor tangential. Our results offer fundamental microscopic insights that are particularly relevant to engineering spin-charge conversion schemes based on twisted layered materials.
title Radial Rashba spin-orbit fields in commensurate twisted transition-metal dichalcogenide bilayers
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2509.10068