Curvature-induced valley-dependent spin-orbit interaction

We construct a general theoretical framework for describing curvature-induced spin-orbit interactions on the basis of group theory. Our theory can systematically determine the emergence of spin splitting in the band structure according to symmetry in the wave number space and the bending direction of the material. As illustrative examples, we derive the curvature-induced spin-orbit coupling for carbon and silicon nanotubes. Our theory offers a strategy for designing valley-contrasting spin-orbit coupled materials by tuning their curvatures.

Authors

Institutions

Publication Details

Journal
Physical review. B./Physical review. B
Published
2025-01-09
DOI
https://doi.org/10.1103/physrevb.111.045121
Primary Topic
Topological Materials and Phenomena
Type
article
Field-Weighted Citation Impact
0.00

Funders

Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Curvature-induced valley-dependent spin-orbit interaction

Takeo Kato, Wataru Izumida, Ai Yamakage, Kentaro Sato et al.
Physical review. B./Physical review. B
Topological Materials and Phenomena
article

Curvature-induced valley-dependent spin-orbit interaction

Takeo Kato, Wataru Izumida, Ai Yamakage, Kentaro Sato, Mamoru Matsuo, Rin Okuyama, Takumi Funato, Tetsuya Sato
article en

Abstract

We construct a general theoretical framework for describing curvature-induced spin-orbit interactions on the basis of group theory. Our theory can systematically determine the emergence of spin splitting in the band structure according to symmetry in the wave number space and the bending direction of the material. As illustrative examples, we derive the curvature-induced spin-orbit coupling for carbon and silicon nanotubes. Our theory offers a strategy for designing valley-contrasting spin-orbit coupled materials by tuning their curvatures.

Physical review. B./Physical review. BVol. 111(4)
Japan Atomic Energy Agency (JP), Meiji University (JP), Chinese Academy of Sciences (CN), Tohoku University (JP), Keio University (JP), Sendai National College of Technology (JP), RIKEN (JP), Nagoya University (JP), The University of Tokyo (JP)
Sumitomo Foundation, National Natural Science Foundation of China, Chinese Academy of Sciences, Japan Society for the Promotion of Science
Sustainable cities and communities
Openalex Percentile: Top 99%
Topological Materials and Phenomena
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Curvature-induced valley-dependent spin-orbit interaction — Takeo Kato, Wataru Izumida, et al. · Physical review. B./Physical review. B (2025) | TGRS Research Map | TGRS