Carrier-dependent quadratic scaling of anomalous Hall conductivity in ferromagnetic semiconductor

We report an unconventional carrier-dependent anomalous Hall effect (AHE) with a quadratic scaling relation in epitaxial films of a ferromagnetic semiconductor (ZnCo)O with a high Co concentration. We show the co-existence of AHE together with the nonlinear ordinary Hall effect (NLHE) and the separa...

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Main Authors: Maoxiang Fu, Qiang Cao, Jiahui Liu, Kun Zhang, Guolei Liu, Shishou Kang, Yanxue Chen, Shishen Yan, Lihui Bai, Liangmo Mei, Zhen-Dong Sun
Format: Article
Language:English
Published: Elsevier 2021-10-01
Series:Results in Physics
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Online Access:http://www.sciencedirect.com/science/article/pii/S2211379721007671
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author Maoxiang Fu
Qiang Cao
Jiahui Liu
Kun Zhang
Guolei Liu
Shishou Kang
Yanxue Chen
Shishen Yan
Lihui Bai
Liangmo Mei
Zhen-Dong Sun
author_facet Maoxiang Fu
Qiang Cao
Jiahui Liu
Kun Zhang
Guolei Liu
Shishou Kang
Yanxue Chen
Shishen Yan
Lihui Bai
Liangmo Mei
Zhen-Dong Sun
author_sort Maoxiang Fu
collection DOAJ
description We report an unconventional carrier-dependent anomalous Hall effect (AHE) with a quadratic scaling relation in epitaxial films of a ferromagnetic semiconductor (ZnCo)O with a high Co concentration. We show the co-existence of AHE together with the nonlinear ordinary Hall effect (NLHE) and the separation of NLHE by using a two-conducting channels model in the expression of Hall resistivity. We found that the NLHE depends strongly on both temperature and carrier density n and dominates at low temperature when n <1.0×1020cm−3, indicating the very necessary of separation them from each other for a proper scaling of the AHE. The anomalous Hall resistivity is nearly independent on carrier density and longitudinal resistivity regardless the underlying transport mechanisms and thermal properties. Very interestingly, a quadratic scaling relation between anomalous Hall conductivity and longitudinal conductivity σxyAHE∝σxx2 is obtained. The further analysis shows that σxyAHE∝n2 with a frozen electron mobility. In addition, sign reversal of the AHE has been observed by reducing magnetization via growth controlling engineering. Our results reveal a carrier-dependent AHE in low conductivity regime and provide an experimental evidence for the itinerant ferromagnetism in ferromagnetic semiconductor (ZnCo)O.
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spelling doaj.art-c3ba5e0287ca4edc972f6a8064cd98e52022-12-21T18:23:32ZengElsevierResults in Physics2211-37972021-10-0129104686Carrier-dependent quadratic scaling of anomalous Hall conductivity in ferromagnetic semiconductorMaoxiang Fu0Qiang Cao1Jiahui Liu2Kun Zhang3Guolei Liu4Shishou Kang5Yanxue Chen6Shishen Yan7Lihui Bai8Liangmo Mei9Zhen-Dong Sun10School of Physics, Shandong University, Jinan 250100, ChinaSchool of Physics, Shandong University, Jinan 250100, ChinaSchool of Physics, Shandong University, Jinan 250100, ChinaSchool of Physics, Shandong University, Jinan 250100, ChinaSchool of Physics, Shandong University, Jinan 250100, China; Corresponding authors at: School of Physics, Shandong University, Jinan 250100, China.School of Physics, Shandong University, Jinan 250100, ChinaSchool of Physics, Shandong University, Jinan 250100, ChinaSchool of Physics, Shandong University, Jinan 250100, ChinaSchool of Physics, Shandong University, Jinan 250100, ChinaSchool of Physics, Shandong University, Jinan 250100, ChinaSchool of Physics, Shandong University, Jinan 250100, China; School of Physics and Electrical Engineering, Kashi University, Kashgar 844006, China; Corresponding authors at: School of Physics, Shandong University, Jinan 250100, China.We report an unconventional carrier-dependent anomalous Hall effect (AHE) with a quadratic scaling relation in epitaxial films of a ferromagnetic semiconductor (ZnCo)O with a high Co concentration. We show the co-existence of AHE together with the nonlinear ordinary Hall effect (NLHE) and the separation of NLHE by using a two-conducting channels model in the expression of Hall resistivity. We found that the NLHE depends strongly on both temperature and carrier density n and dominates at low temperature when n <1.0×1020cm−3, indicating the very necessary of separation them from each other for a proper scaling of the AHE. The anomalous Hall resistivity is nearly independent on carrier density and longitudinal resistivity regardless the underlying transport mechanisms and thermal properties. Very interestingly, a quadratic scaling relation between anomalous Hall conductivity and longitudinal conductivity σxyAHE∝σxx2 is obtained. The further analysis shows that σxyAHE∝n2 with a frozen electron mobility. In addition, sign reversal of the AHE has been observed by reducing magnetization via growth controlling engineering. Our results reveal a carrier-dependent AHE in low conductivity regime and provide an experimental evidence for the itinerant ferromagnetism in ferromagnetic semiconductor (ZnCo)O.http://www.sciencedirect.com/science/article/pii/S2211379721007671Anomalous Hall effectScaling relationFerromagnetic semiconductorCarrier dependent
spellingShingle Maoxiang Fu
Qiang Cao
Jiahui Liu
Kun Zhang
Guolei Liu
Shishou Kang
Yanxue Chen
Shishen Yan
Lihui Bai
Liangmo Mei
Zhen-Dong Sun
Carrier-dependent quadratic scaling of anomalous Hall conductivity in ferromagnetic semiconductor
Results in Physics
Anomalous Hall effect
Scaling relation
Ferromagnetic semiconductor
Carrier dependent
title Carrier-dependent quadratic scaling of anomalous Hall conductivity in ferromagnetic semiconductor
title_full Carrier-dependent quadratic scaling of anomalous Hall conductivity in ferromagnetic semiconductor
title_fullStr Carrier-dependent quadratic scaling of anomalous Hall conductivity in ferromagnetic semiconductor
title_full_unstemmed Carrier-dependent quadratic scaling of anomalous Hall conductivity in ferromagnetic semiconductor
title_short Carrier-dependent quadratic scaling of anomalous Hall conductivity in ferromagnetic semiconductor
title_sort carrier dependent quadratic scaling of anomalous hall conductivity in ferromagnetic semiconductor
topic Anomalous Hall effect
Scaling relation
Ferromagnetic semiconductor
Carrier dependent
url http://www.sciencedirect.com/science/article/pii/S2211379721007671
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