|
|
|
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 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 |
|
|
|
|
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.
|
Received: 10 November 2025
Revised: 17 January 2026
Accepted manuscript online: 19 January 2026
|
|
PACS:
|
71.38.Cn
|
(Mass renormalization in metals)
|
| |
75.47.-m
|
(Magnetotransport phenomena; materials for magnetotransport)
|
| |
73.43.Qt
|
(Magnetoresistance)
|
| |
74.25.F-
|
(Transport properties)
|
|
| Fund: 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). |
Corresponding Authors:
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
|
Cite this article:
Yi-Ran Li(李祎冉), Yong-Hao Gao(高永豪), Xiao-Qin Lu(卢小琴), Ping Su(苏平), Hui Liang(梁慧), Ying Zhou(周颖), Dan-Dan Wu(吴丹丹), Yan Sun(孙燕), Qiu-Ju Li(李秋菊), Jin-Yu Liu(刘金雨), Shou-Guo Wang(王守国), Gang Chen(陈钢), Tian-Long Xia(夏天龙), Na Li(李娜), Xue-Feng Sun(孙学峰), and Yi-Yan Wang(王义炎) Power-law scaling of low-temperature effective mass in La3ScBi5 2026 Chin. Phys. B 35 057107
|
[1] Wang H, Liu H, Li Y, Liu Y, Wang J, Liu J, Dai J Y, Wang Y, Li L, Yan J, Mandrus D, Xie X C and Wang J 2018 Sci. Adv. 4 eaau5096
[2] Wang J F, Dong Q X, Huang Y F, Wang Z S, Guo Z P, Wang Z J, Ren Z A, Li G, Sun P J, Dai X and Chen G F 2023 Phys. Rev. B 108 024423
[3] Shoenberg D 1984 Magnetic oscillations in metals (Cambridge: Cambridge University Press)
[4] Kohler M 1938 Ann. Phys. 424 211
[5] Luo N and Miley G 2002 Physica C 371 259
[6] Xu J, Han F, Wang T T, Thoutam L R, Pate S E, Li M, Zhang X, Wang Y L, Fotovat R, Welp U, Zhou X, Kwok W K, Chung D Y, Kanatzidis M G and Xiao Z L 2021 Phys. Rev. X 11 041029
[7] Pate S, Chen B, Shen B, Li K, Zhou X, Chung D Y, Divan R, Kanatzidis M G, Welp U, Kwok W K and Xiao Z L 2024 Phys. Rev. B 109 035129
[8] Liu W, Zheng Y, Kondusamy A L N, Scherm D L, Malko A V and Lv B 2024 Phys. Rev. Mater. 8 054006
[9] Khoury J F, Han B, Jovanovic M, Singha R, Song X, Queiroz R, Ong N P and Schoop L M 2022 J. Am. Chem. Soc. 144 9785
[10] Han X, Pi H, Yan D, Zhang R, Li Y, Wang X, Dun Z, Wang Z, Feng H L, Wu Q and Shi Y 2023 Phys. Rev. B 108 075157
[11] Yi Z K, Ouyang Z F, Guo P J, Liang H, Li Y R, Su P, Li N, Zhou Y, Wu D D, Sun Y, Yue X Y, Li Q J, Wang S G, Sun X F and Wang Y Y 2024 Adv. Mater. 36 2400166
[12] Han X, Li Y, Yang M, Miao S, Yan D and Shi Y 2023 Phys. Rev. Mater. 7 124406
[13] Khoury J F, Han B, Jovanovic M, Queiroz R, Yang X, Singha R, Salters T H, Pollak C J, Lee S B, Ong N and Schoop L M 2024 Adv. Mater. 36 2404553
[14] Zhang C, Wang Y, Zheng J, Du L, Li Y, Han X, Liu E, Wu Q and Shi Y 2024 Phys. Rev. Mater. 8 034402
[15] Duan L, Wang X C, Zhang J, Hu Z, Zhao J F, Feng Y G, Zhang H L, Lin H J, Chen C T, Wu W, Li Z, Wang R, Zhang J F, Xiang T and Jin C Q 2022 Phys. Rev. B 106 184405
[16] Duan L, Wang X, Zhan F, Zhang J, Hu Z, Zhao J, Li W, Cao L, Deng Z, Yu R, Lin H J, Chen C T, Wang R and Jin C 2020 Sci. China-Mater. 63 1750
[17] Wang Y Y, Yi Z K, Li N, Li Y R, Su P, Zhou Y, Wu D D, Sun Y, Li Q J, Yue X Y, Zhao X, Sun X F and Liang H 2024 Phys. Rev. B 110 134432
[18] See supplemental material for some additional data, including the experimental methods, crystal structure, electronic structure, angle dependent dHvA oscillation, Hall resistivity, negative longitudinal MR, the application of changing carrier effective mass in Sr1-yMn1-zSb2, and the calculated m* renormalization by the long-range Coulomb interaction.
[19] Hu J, Zhu Y L, Graf D, Tang Z J, Liu J Y and Mao Z Q 2017 Phys. Rev. B 95 205134
[20] Liu Q, Guo P J, Xu S, Yue X Y, Wang H, Wang X Y, Liang H, Wu D D, Sun Y, Li Q J, Xia T L, Sun X F and Wang Y Y 2023 J. Phys. Chem. C 127 4319
[21] Hu J, Tang Z, Liu J, Liu X, Zhu Y, Graf D, Myhro K, Tran S, Lau C N, Wei J and Mao Z 2016 Phys. Rev. Lett. 117 016602
[22] Liu J, Hu J, Zhang Q, Graf D, Cao H, Radmanesh S, Adams D, Zhu Y, Cheng G, Liu X, Phelan W, Wei J, Jaime M, Balakirev F, Tennant D, DiTusa J, Chiorescu I, Spinu L and Mao Z 2017 Nat. Mater. 16 905
[23] Wang Y Y, Xu S, Sun L L and Xia T L 2018 Phys. Rev. Mater. 2 021201
[24] Kimura S i, Yokoyama H, Watanabe H, Sichelschmidt J, Suß V, Schmidt M and Felser C 2017 Phys. Rev. B 96 075119
[25] Zhang Y and Das Sarma S 2004 Phys. Rev. B 70 035104
[26] Shaginyan V, Amusia M Y, Msezane A and Popov K 2010 Phys. Rep. 492 31
[27] OuYang H, Dong Q X, Huang Y F, Xiang J S, Zhang L B, Li C S, Sun P J, Ren Z A and Chen G F 2021 Chin. Phys. B 30 127101
[28] Yi Z K, Liu Q, Guang S K, Xu S, Yue X Y, Liang H, Li N, Zhou Y, Wu D D, Sun Y, Li Q J, Cheng P, Xia T L, Sun X F and Wang Y Y 2024 Chin. Phys. B 33 047501 |
| No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|
