Electric-field independent spin-orbit coupling gap in hBN-encapsulated bilayer graphene

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Main Authors: Jing, Fang-Ming, Shen, Zhen-Xiong, Qin, Guo-Quan, Zhang, Wei-Kang, Lin, Ting, Cai, Ranran, Zhang, Zhuo-Zhi, Cao, Gang, He, Lixin, Song, Xiang-Xiang, Guo, Guo-Ping
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Published: 2025
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author Jing, Fang-Ming
Shen, Zhen-Xiong
Qin, Guo-Quan
Zhang, Wei-Kang
Lin, Ting
Cai, Ranran
Zhang, Zhuo-Zhi
Cao, Gang
He, Lixin
Song, Xiang-Xiang
Guo, Guo-Ping
author_facet Jing, Fang-Ming
Shen, Zhen-Xiong
Qin, Guo-Quan
Zhang, Wei-Kang
Lin, Ting
Cai, Ranran
Zhang, Zhuo-Zhi
Cao, Gang
He, Lixin
Song, Xiang-Xiang
Guo, Guo-Ping
contents The weak spin-orbit coupling (SOC) in bilayer graphene (BLG) is essential for encoding spin qubits while bringing technical challenges for extracting the opened small SOC gap Δ_SO in experiments. Moreover, in addition to the intrinsic Kane-Mele term, extrinsic mechanisms also contribute to SOC in BLG, especially under experimental conditions including encapsulation of BLG with hexagonal boron nitride (hBN) and applying an external out-of-plane electric displacement field D. Although measurements of Δ_SO in hBN-encapsulated BLG have been reported, the relatively large experimental variations and existing experimental controversy make it difficult to fully understand the physical origin of Δ_SO. Here, we report a combined experimental and theoretical study on Δ_SO in hBN-encapsulated BLG. We use an averaging method to extract Δ_SO in gate-defined single quantum dot devices. Under D fields as large as 0.57-0.90 V/nm, Δ_SO=53.4-61.8 μeV is obtained from two devices. Benchmarked with values reported at lower D field regime, our results support a D field-independent Δ_SO. This behavior is confirmed by our first-principle calculations, based on which Δ_SO is found to be independent of D field, regardless of different hBN/BLG/hBN stacking configurations. Our calculations also suggest a weak proximity effect from hBN, indicating that SOC in hBN-encapsulated BLG is dominated by the intrinsic Kane-Mele mechanism. Our results offer insightful understandings of SOC in BLG, which benefit SOC engineering and spin manipulations in BLG.
format Preprint
id arxiv_https___arxiv_org_abs_2504_18122
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Electric-field independent spin-orbit coupling gap in hBN-encapsulated bilayer graphene
Jing, Fang-Ming
Shen, Zhen-Xiong
Qin, Guo-Quan
Zhang, Wei-Kang
Lin, Ting
Cai, Ranran
Zhang, Zhuo-Zhi
Cao, Gang
He, Lixin
Song, Xiang-Xiang
Guo, Guo-Ping
Mesoscale and Nanoscale Physics
Materials Science
The weak spin-orbit coupling (SOC) in bilayer graphene (BLG) is essential for encoding spin qubits while bringing technical challenges for extracting the opened small SOC gap Δ_SO in experiments. Moreover, in addition to the intrinsic Kane-Mele term, extrinsic mechanisms also contribute to SOC in BLG, especially under experimental conditions including encapsulation of BLG with hexagonal boron nitride (hBN) and applying an external out-of-plane electric displacement field D. Although measurements of Δ_SO in hBN-encapsulated BLG have been reported, the relatively large experimental variations and existing experimental controversy make it difficult to fully understand the physical origin of Δ_SO. Here, we report a combined experimental and theoretical study on Δ_SO in hBN-encapsulated BLG. We use an averaging method to extract Δ_SO in gate-defined single quantum dot devices. Under D fields as large as 0.57-0.90 V/nm, Δ_SO=53.4-61.8 μeV is obtained from two devices. Benchmarked with values reported at lower D field regime, our results support a D field-independent Δ_SO. This behavior is confirmed by our first-principle calculations, based on which Δ_SO is found to be independent of D field, regardless of different hBN/BLG/hBN stacking configurations. Our calculations also suggest a weak proximity effect from hBN, indicating that SOC in hBN-encapsulated BLG is dominated by the intrinsic Kane-Mele mechanism. Our results offer insightful understandings of SOC in BLG, which benefit SOC engineering and spin manipulations in BLG.
title Electric-field independent spin-orbit coupling gap in hBN-encapsulated bilayer graphene
topic Mesoscale and Nanoscale Physics
Materials Science
url https://arxiv.org/abs/2504.18122