中国物理B ›› 2022, Vol. 31 ›› Issue (8): 87303-087303.doi: 10.1088/1674-1056/ac6582

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Analytical formula describing the non-saturating linear magnetoresistance in inhomogeneous conductors

Shan-Shan Chen(陈珊珊), Yang Yang(杨阳), and Fan Yang(杨帆)   

  1. Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin University, Tianjin 300350, China
  • 收稿日期:2022-03-08 修回日期:2022-04-08 接受日期:2022-04-08 出版日期:2022-07-18 发布日期:2022-07-27
  • 通讯作者: Fan Yang E-mail:fanyangphys@tju.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 11904259) and the Natural Science Foundation of Tianjin (Grant No. 20JC-QNJC02040).

Analytical formula describing the non-saturating linear magnetoresistance in inhomogeneous conductors

Shan-Shan Chen(陈珊珊), Yang Yang(杨阳), and Fan Yang(杨帆)   

  1. Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin University, Tianjin 300350, China
  • Received:2022-03-08 Revised:2022-04-08 Accepted:2022-04-08 Online:2022-07-18 Published:2022-07-27
  • Contact: Fan Yang E-mail:fanyangphys@tju.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 11904259) and the Natural Science Foundation of Tianjin (Grant No. 20JC-QNJC02040).

摘要: The effective-medium theory (EMT) has proved successful in modeling the non-saturating linear magnetoresistance induced by inhomogeneity. However, calculating magnetoresistance using the EMT usually involves solving coupled integral equations which have no analytical solutions, and therefore, it is still difficult to directly compare the predictions of EMT with experimental data. Here we demonstrate that the linear magnetoresistance predicted by the EMT can be either exactly formulated or well approximated by a simple analytical equation $\Delta\rho/\rho_0=\sqrt{k^2B^2+a^2}-a$ in a number of known situations. The relations between the EMT parameters and the phenomenological parameters $k$ and $a$ are evaluated. Our results provide a convenient and effective method for extracting the EMT parameters from experimental data.

关键词: linear magnetoresistance, effective medium theory

Abstract: The effective-medium theory (EMT) has proved successful in modeling the non-saturating linear magnetoresistance induced by inhomogeneity. However, calculating magnetoresistance using the EMT usually involves solving coupled integral equations which have no analytical solutions, and therefore, it is still difficult to directly compare the predictions of EMT with experimental data. Here we demonstrate that the linear magnetoresistance predicted by the EMT can be either exactly formulated or well approximated by a simple analytical equation $\Delta\rho/\rho_0=\sqrt{k^2B^2+a^2}-a$ in a number of known situations. The relations between the EMT parameters and the phenomenological parameters $k$ and $a$ are evaluated. Our results provide a convenient and effective method for extracting the EMT parameters from experimental data.

Key words: linear magnetoresistance, effective medium theory

中图分类号:  (Galvanomagnetic and other magnetotransport effects)

  • 73.50.Jt
72.20.My (Galvanomagnetic and other magnetotransport effects)