skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: 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:
 [1];  [2];  [1];  [2];  [2]; ;  [1]
  1. Key Laboratory of Materials Physics, Institute of Solid State Physics, Chinese Academy of Sciences, Hefei 230031 (China)
  2. (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}
}
  • 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 » the distinction between the electron lifetime and the transport relaxation time, and on other generalizations of the Drude formula.« less
  • A generalization of the Appleton-Hartree 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 Chapman-Enskog method of solving the Boltzmann transport equation is used. (C.J. G.)
  • A technique for recording time variations in a longitudinal magnetic field which makes use of the Faraday magnetooptical effect is described. The method uses simple inexpensive apparatus and is easily incorporated into experiments already using streak camera observations. An experiment is described for measuring the driving magnetic field inside a theta piece. A schematic diagram of the optical system is shown. By combining the magneto-optical technique and the methods for superimposing streak and optical interference fringe photographs on the same emulsion, it should be possible to determine geometry, space-time distribution of electron number density in a high-densityplasma (about 10 17more » cm -3), and line-integrated variations of magnetic field along the line of sight with one streak camera.« less
  • The observation of magnetooptical Faraday effects in water in experiments with electrical breakdown is presented. After high-voltage breakdown, the ionized channel with {approx}4 kA current was generated. The magnetic field from the current channel induces a circular birefringence which results in rotation of the polarization plane of a probing laser (200 ps, 532 nm). In spite of fast opposite radius drop of the magnetic field in radial direction, the Faraday rotation effect drops very slowly. The rotation of the polarization plane was {approx}0.65 deg. {+-}5%. The optical measurements are in good agreement within {approx}7% with the electrical measurements of themore » current.« less