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Main Authors: Kong, Ziqiang, Feng, Yu, Gao, Han, Sun, Ru, Feng, Jian, Jiang, Chengxin, Liu, Chenxi, Wang, Huishan, Zhang, Yu, Song, Junchi, Hao, Xuanzheng, Zhang, Ziceng, Ma, Yuteng, Gao, Shengda, Zhu, Ren, Noor, Qandeel, Ali, Ghulam, Yang, Yumeng, Yu, Guanghui, Tang, Shujie, Liu, Zhongkai, Wang, Haomin
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2511.19844
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author Kong, Ziqiang
Feng, Yu
Gao, Han
Sun, Ru
Feng, Jian
Jiang, Chengxin
Liu, Chenxi
Wang, Huishan
Zhang, Yu
Song, Junchi
Hao, Xuanzheng
Zhang, Ziceng
Ma, Yuteng
Gao, Shengda
Zhu, Ren
Noor, Qandeel
Ali, Ghulam
Yang, Yumeng
Yu, Guanghui
Tang, Shujie
Liu, Zhongkai
Wang, Haomin
author_facet Kong, Ziqiang
Feng, Yu
Gao, Han
Sun, Ru
Feng, Jian
Jiang, Chengxin
Liu, Chenxi
Wang, Huishan
Zhang, Yu
Song, Junchi
Hao, Xuanzheng
Zhang, Ziceng
Ma, Yuteng
Gao, Shengda
Zhu, Ren
Noor, Qandeel
Ali, Ghulam
Yang, Yumeng
Yu, Guanghui
Tang, Shujie
Liu, Zhongkai
Wang, Haomin
contents The miniaturization of quantum Hall resistance standards (QHRS) using epitaxial graphene on silicon carbide necessitates understanding how device dimensions impact performance. This study reveals a pronounced scale-dependent carrier density in graphene Hall devices: under electron doping, carrier density decreases with increasing channel width (Wd), while the opposite occurs under hole doping. This phenomenon, most significant for Wd less than 400 um, directly influences the onset of magnetic field required for quantization. Fermi velocity measurements and angle-resolved photoemission spectroscopy (ARPES) analysis indicate that band structure modifications and electron-electron interactions underlie this size dependence. Utilizing machine learning with limited data, we optimized the device geometry, identifying a channel width of ~360 um as the optimal balance between resistance uncertainty and on-chip integration density. This work provides key insights for designing high-performance, miniaturized graphene-based QHRS arrays.
format Preprint
id arxiv_https___arxiv_org_abs_2511_19844
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Pronounced scale-dependent charge carrier density in graphene quantum Hall devices
Kong, Ziqiang
Feng, Yu
Gao, Han
Sun, Ru
Feng, Jian
Jiang, Chengxin
Liu, Chenxi
Wang, Huishan
Zhang, Yu
Song, Junchi
Hao, Xuanzheng
Zhang, Ziceng
Ma, Yuteng
Gao, Shengda
Zhu, Ren
Noor, Qandeel
Ali, Ghulam
Yang, Yumeng
Yu, Guanghui
Tang, Shujie
Liu, Zhongkai
Wang, Haomin
Mesoscale and Nanoscale Physics
Materials Science
The miniaturization of quantum Hall resistance standards (QHRS) using epitaxial graphene on silicon carbide necessitates understanding how device dimensions impact performance. This study reveals a pronounced scale-dependent carrier density in graphene Hall devices: under electron doping, carrier density decreases with increasing channel width (Wd), while the opposite occurs under hole doping. This phenomenon, most significant for Wd less than 400 um, directly influences the onset of magnetic field required for quantization. Fermi velocity measurements and angle-resolved photoemission spectroscopy (ARPES) analysis indicate that band structure modifications and electron-electron interactions underlie this size dependence. Utilizing machine learning with limited data, we optimized the device geometry, identifying a channel width of ~360 um as the optimal balance between resistance uncertainty and on-chip integration density. This work provides key insights for designing high-performance, miniaturized graphene-based QHRS arrays.
title Pronounced scale-dependent charge carrier density in graphene quantum Hall devices
topic Mesoscale and Nanoscale Physics
Materials Science
url https://arxiv.org/abs/2511.19844