中国物理B ›› 2026, Vol. 35 ›› Issue (5): 57107-057107.doi: 10.1088/1674-1056/ae39d1

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Power-law scaling of low-temperature effective mass in La3ScBi5

Yi-Ran Li(李祎冉)1,†, Yong-Hao Gao(高永豪)2,†, Xiao-Qin Lu(卢小琴)3,†, Ping Su(苏平)1, Hui Liang(梁慧)1, Ying Zhou(周颖)1, Dan-Dan Wu(吴丹丹)1, Yan Sun(孙燕)1, Qiu-Ju Li(李秋菊)4, Jin-Yu Liu(刘金雨)5, Shou-Guo Wang(王守国)1, Gang Chen(陈钢)6,7, Tian-Long Xia(夏天龙)8,9,10,‡, Na Li(李娜)1,§, Xue-Feng Sun(孙学峰)1,¶, and Yi-Yan Wang(王义炎)1,#   

  1. 1 Anhui Provincial Key Laboratory of Magnetic Functional Materials and Devices, Institutes of Physical Science and Information Technology, Anhui University, Hefei 230601, China;
    2 Tsung-Dao Lee Institute, Shanghai Jiao Tong University, Shanghai 201210, China;
    3 School of Physics and Information Engineering, Guangdong University of Education, Guangzhou 510303, China;
    4 School of Physics and Optoelectronic Engineering, Anhui University, Hefei 230601, China;
    5 Department of Physics and Astronomy, University of California, Irvine, CA, 92617, USA;
    6 International Center for Quantum Materials, School of Physics, Peking University, Beijing 100871, China;
    7 Collaborative Innovation Center of Quantum Matter, Beijing 100871, China;
    8 School of Physics and Beijing Key Laboratory of Opto-electronic Functional Materials & Micro-nano Devices, Renmin University of China, Beijing 100872, China;
    9 Key Laboratory of Quantum State Construction and Manipulation (Ministry of Education), Renmin University of China, Beijing 100872, China;
    10 Laboratory for Neutron Scattering, Renmin University of China, Beijing 100872, China
  • 收稿日期:2025-11-10 修回日期:2026-01-17 接受日期:2026-01-19 发布日期:2026-04-24
  • 通讯作者: Tian-Long Xia, Na Li, Xue-Feng Sun, Yi-Yan Wang E-mail:tlxia@ruc.edu.cn;nli@ahu.edu.cn;xfsun@ahu.edu.cn;wyy@ahu.edu.cn
  • 基金资助:
    This work is supported by the National Key R&D Program of China (Grant Nos. 2023YFA1406500, 2024YFA1409002, and 2021YFA1400300), the National Natural Science Foundation of China (Grant Nos. 12474098, 12574042, 12274388, 12404043, 12074425, and 12204004), the Natural Science Foundation of Anhui Province (Grant No. 2408085QA024), the Science and Technology Projects in Guangzhou (Grant No. 2023A04J1936), the Fundamental Research Funds for the Central Universities (Peking University), the Research Funds of Renmin University of China (Grant No. 23XNKJ22), and the Beijing National Laboratory for Condensed Matter Physics (Grant No. 2023BNLCMPKF008).

Power-law scaling of low-temperature effective mass in La3ScBi5

Yi-Ran Li(李祎冉)1,†, Yong-Hao Gao(高永豪)2,†, Xiao-Qin Lu(卢小琴)3,†, Ping Su(苏平)1, Hui Liang(梁慧)1, Ying Zhou(周颖)1, Dan-Dan Wu(吴丹丹)1, Yan Sun(孙燕)1, Qiu-Ju Li(李秋菊)4, Jin-Yu Liu(刘金雨)5, Shou-Guo Wang(王守国)1, Gang Chen(陈钢)6,7, Tian-Long Xia(夏天龙)8,9,10,‡, Na Li(李娜)1,§, Xue-Feng Sun(孙学峰)1,¶, and Yi-Yan Wang(王义炎)1,#   

  1. 1 Anhui Provincial Key Laboratory of Magnetic Functional Materials and Devices, Institutes of Physical Science and Information Technology, Anhui University, Hefei 230601, China;
    2 Tsung-Dao Lee Institute, Shanghai Jiao Tong University, Shanghai 201210, China;
    3 School of Physics and Information Engineering, Guangdong University of Education, Guangzhou 510303, China;
    4 School of Physics and Optoelectronic Engineering, Anhui University, Hefei 230601, China;
    5 Department of Physics and Astronomy, University of California, Irvine, CA, 92617, USA;
    6 International Center for Quantum Materials, School of Physics, Peking University, Beijing 100871, China;
    7 Collaborative Innovation Center of Quantum Matter, Beijing 100871, China;
    8 School of Physics and Beijing Key Laboratory of Opto-electronic Functional Materials & Micro-nano Devices, Renmin University of China, Beijing 100872, China;
    9 Key Laboratory of Quantum State Construction and Manipulation (Ministry of Education), Renmin University of China, Beijing 100872, China;
    10 Laboratory for Neutron Scattering, Renmin University of China, Beijing 100872, China
  • Received:2025-11-10 Revised:2026-01-17 Accepted:2026-01-19 Published:2026-04-24
  • Contact: Tian-Long Xia, Na Li, Xue-Feng Sun, Yi-Yan Wang E-mail:tlxia@ruc.edu.cn;nli@ahu.edu.cn;xfsun@ahu.edu.cn;wyy@ahu.edu.cn
  • Supported by:
    This work is supported by the National Key R&D Program of China (Grant Nos. 2023YFA1406500, 2024YFA1409002, and 2021YFA1400300), the National Natural Science Foundation of China (Grant Nos. 12474098, 12574042, 12274388, 12404043, 12074425, and 12204004), the Natural Science Foundation of Anhui Province (Grant No. 2408085QA024), the Science and Technology Projects in Guangzhou (Grant No. 2023A04J1936), the Fundamental Research Funds for the Central Universities (Peking University), the Research Funds of Renmin University of China (Grant No. 23XNKJ22), and the Beijing National Laboratory for Condensed Matter Physics (Grant No. 2023BNLCMPKF008).

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摘要： The variation of the effective mass $m^*$ of carrier is often overlooked in experimental studies on quantum oscillations and Kohler's rule. Here, we report the magnetotransport properties of La$_3$ScBi$_5$ and reveal the changing $m^*$ in it. The temperature and magnetic field dependence of $m^*$ follows the power-law scaling behavior at low temperature and leads to the failure of conventional analysis, which should not be ignored. In the analysis of the thermal factor and Dingle plot of de Haas-van Alphen oscillation in La$_3$ScBi$_5$, satisfactory fitting results can be obtained after considering the correction of $m^*$. We have also applied this method to Sr$_{1-y}$Mn$_{1-z}$Sb$_2$, solving the remaining fitting problem in previous reports. Moreover, the magnetoresistance (MR) of La$_3$ScBi$_5$ has been found to violate Kohler's rule. Although the extended Kohler's rule is applicable to high-temperature MR data, it does not scale the low-temperature data well. We further modified the extended Kohler's rule by introducing $m^*$, and subsequently scaled the low-temperature MR data well. Our study emphasizes the importance of considering the variation of $m^*$ in the analysis of quantum oscillations and Kohler's rule, and provides a method for extracting the temperature and magnetic field dependence of $m^*$ through quantum oscillations, which is very beneficial for the data analysis of other materials in the future.

关键词: effective mass, quantum oscillations, Kohler’s rule, topological material

Abstract: The variation of the effective mass $m^*$ of carrier is often overlooked in experimental studies on quantum oscillations and Kohler's rule. Here, we report the magnetotransport properties of La$_3$ScBi$_5$ and reveal the changing $m^*$ in it. The temperature and magnetic field dependence of $m^*$ follows the power-law scaling behavior at low temperature and leads to the failure of conventional analysis, which should not be ignored. In the analysis of the thermal factor and Dingle plot of de Haas-van Alphen oscillation in La$_3$ScBi$_5$, satisfactory fitting results can be obtained after considering the correction of $m^*$. We have also applied this method to Sr$_{1-y}$Mn$_{1-z}$Sb$_2$, solving the remaining fitting problem in previous reports. Moreover, the magnetoresistance (MR) of La$_3$ScBi$_5$ has been found to violate Kohler's rule. Although the extended Kohler's rule is applicable to high-temperature MR data, it does not scale the low-temperature data well. We further modified the extended Kohler's rule by introducing $m^*$, and subsequently scaled the low-temperature MR data well. Our study emphasizes the importance of considering the variation of $m^*$ in the analysis of quantum oscillations and Kohler's rule, and provides a method for extracting the temperature and magnetic field dependence of $m^*$ through quantum oscillations, which is very beneficial for the data analysis of other materials in the future.

Key words: effective mass, quantum oscillations, Kohler’s rule, topological material

中图分类号:  (Mass renormalization in metals)

  • 71.38.Cn
75.47.-m (Magnetotransport phenomena; materials for magnetotransport) 73.43.Qt (Magnetoresistance) 74.25.F- (Transport properties)