A generalization of the DrudeSmith formula for magnetooptical 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 magnetooptical conductivities in an electron gas system in Faraday geometry. Comparing with the standard Drude model, the coefficients a{sub n} are introduced in the DrudeSmith 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 magnetooptical conductivities in condensed matter materials and electronic devices using terahertz timedomain 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., Email: wenxuissp@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 DrudeSmith formula for magnetooptical 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., Email: wenxuissp@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 DrudeSmith formula for magnetooptical 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., Email: wenxuissp@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. 2016.
"A generalization of the DrudeSmith formula for magnetooptical conductivities in Faraday geometry". United States.
doi:10.1063/1.4954889.
@article{osti_22596647,
title = {A generalization of the DrudeSmith formula for magnetooptical conductivities in Faraday geometry},
author = {Han, F. W. and University of Science and Technology of China, Hefei 230026 and Xu, W., Email: wenxuissp@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 magnetooptical conductivities in an electron gas system in Faraday geometry. Comparing with the standard Drude model, the coefficients a{sub n} are introduced in the DrudeSmith 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 magnetooptical conductivities in condensed matter materials and electronic devices using terahertz timedomain 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 = 2016,
month = 6
}

A simple classical generalization of the Drude formula is derived based on the impulse response approach and Poisson statistics. The new feature is a parameter c, which is a measure of persistence of velocity. With negative values of c, it is possible to mimic the infrared properties of poor metals that display a minimum in the optical conductivity at zero frequency. The electron current in these cases reverses direction before decaying to zero. Specific examples considered are Hg and its amalgams, liquid Te, and the quasicrystal Al{sub 63.5}Cu{sub 24.5}Fe{sub 12}. Discussion is offered on the connection with interband transitions, onmore »

GENERALIZATION OF THE APPLETONHARTREE MAGNETOIONIC FORMULA
A generalization of the AppletonHartree magnetoionic formula is given. This generalization parallels the work of Jancel and Kahan, but the resultant expressions are formally simpler. As in the method of Jancel and Kahan, the ChapmanEnskog method of solving the Boltzmann transport equation is used. (C.J. G.)