# A generalization of the Drude-Smith formula for magneto-optical conductivities in Faraday geometry

## Abstract

In this study, we generalize the impulse response approach and Poisson statistics proposed by Smith [Phys. Rev. B 64, 155106 (2001)] to evaluate the longitudinal and transverse magneto-optical conductivities in an electron gas system in Faraday geometry. Comparing with the standard Drude model, the coefficients a{sub n} are introduced in the Drude-Smith formula to describe the backscattering or localization effect for the nth electronic scattering event. Such a formula can also be applied to study the elements of the dielectric function matrix in the presence of magnetic and radiation fields in electron gas systems. This theoretical work is primely motivated by recent experimental activities in measuring the real and imaginary parts of longitudinal and transverse magneto-optical conductivities in condensed matter materials and electronic devices using terahertz time-domain spectroscopy. We believe that the results obtained from this study can provide an appropriate theoretical tool in reproducing the experimental findings and in fitting with experimental data to determine the important sample and material parameters.

- Authors:

- Key Laboratory of Materials Physics, Institute of Solid State Physics, Chinese Academy of Sciences, Hefei 230031 (China)
- (China)

- Publication Date:

- OSTI Identifier:
- 22596647

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Applied Physics; Journal Volume: 119; Journal Issue: 24; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; BACKSCATTERING; COMPARATIVE EVALUATIONS; DIELECTRIC MATERIALS; ELECTRON GAS; ELECTRONIC EQUIPMENT; FARADAY EFFECT; GEOMETRY; MATRICES; MATTER; POISSON EQUATION; PULSES; SPECTROSCOPY; STATISTICS

### Citation Formats

```
Han, F. W., University of Science and Technology of China, Hefei 230026, Xu, W., E-mail: wenxu-issp@aliyun.com, University of Science and Technology of China, Hefei 230026, Department of Physics and Astronomy and Yunnan Key Laboratory for Micro/Nano Materials and Technology, Kunming 650091, Li, L. L., and Zhang, C.
```*A generalization of the Drude-Smith formula for magneto-optical conductivities in Faraday geometry*. United States: N. p., 2016.
Web. doi:10.1063/1.4954889.

```
Han, F. W., University of Science and Technology of China, Hefei 230026, Xu, W., E-mail: wenxu-issp@aliyun.com, University of Science and Technology of China, Hefei 230026, Department of Physics and Astronomy and Yunnan Key Laboratory for Micro/Nano Materials and Technology, Kunming 650091, Li, L. L., & Zhang, C.
```*A generalization of the Drude-Smith formula for magneto-optical conductivities in Faraday geometry*. United States. doi:10.1063/1.4954889.

```
Han, F. W., University of Science and Technology of China, Hefei 230026, Xu, W., E-mail: wenxu-issp@aliyun.com, University of Science and Technology of China, Hefei 230026, Department of Physics and Astronomy and Yunnan Key Laboratory for Micro/Nano Materials and Technology, Kunming 650091, Li, L. L., and Zhang, C. Tue .
"A generalization of the Drude-Smith formula for magneto-optical conductivities in Faraday geometry". United States.
doi:10.1063/1.4954889.
```

```
@article{osti_22596647,
```

title = {A generalization of the Drude-Smith formula for magneto-optical conductivities in Faraday geometry},

author = {Han, F. W. and University of Science and Technology of China, Hefei 230026 and Xu, W., E-mail: wenxu-issp@aliyun.com and University of Science and Technology of China, Hefei 230026 and Department of Physics and Astronomy and Yunnan Key Laboratory for Micro/Nano Materials and Technology, Kunming 650091 and Li, L. L. and Zhang, C.},

abstractNote = {In this study, we generalize the impulse response approach and Poisson statistics proposed by Smith [Phys. Rev. B 64, 155106 (2001)] to evaluate the longitudinal and transverse magneto-optical conductivities in an electron gas system in Faraday geometry. Comparing with the standard Drude model, the coefficients a{sub n} are introduced in the Drude-Smith formula to describe the backscattering or localization effect for the nth electronic scattering event. Such a formula can also be applied to study the elements of the dielectric function matrix in the presence of magnetic and radiation fields in electron gas systems. This theoretical work is primely motivated by recent experimental activities in measuring the real and imaginary parts of longitudinal and transverse magneto-optical conductivities in condensed matter materials and electronic devices using terahertz time-domain spectroscopy. We believe that the results obtained from this study can provide an appropriate theoretical tool in reproducing the experimental findings and in fitting with experimental data to determine the important sample and material parameters.},

doi = {10.1063/1.4954889},

journal = {Journal of Applied Physics},

number = 24,

volume = 119,

place = {United States},

year = {Tue Jun 28 00:00:00 EDT 2016},

month = {Tue Jun 28 00:00:00 EDT 2016}

}