Abstract
The linear response expressions for the dielectric constant and conductivity as functions of wave number and frequency are evaluated near the localization metal-insulator transition for noninteracting quasiparticles. New behavior is found in the microscopic range. The static dielectric constant from the insulating side is found to diverge with twice the exponent characterizing the vanishing of the conductivity from the metallic side. The optical properties of the system are analyzed in the macroscopic conducting and insulating phases as well as in the microscopic regime. Interesting changes in the behavior for a given material as a function of frequency were found. The dynamic structure factor follows easily from our expressions and we suggest that it can be measured in principle using high-frequency electromagnetic radiation.
Research supported in part by the U.S. — Israel Binational Science Foundation (BSF), Jerusalem, Israel.
On leave of absence from the Department of Physics and Astronomy, Tel Aviv University, Ramat Aviv, Israel.
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References
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Imry, Y., Gefen, Y., Bergman, D.J. (1982). Dielectric and Optical Anomalies Near the Anderson Metal-Insulator Transition. In: Nagaoka, Y., Fukuyama, H. (eds) Anderson Localization. Springer Series in Solid-State Sciences, vol 39. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81841-7_14
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DOI: https://doi.org/10.1007/978-3-642-81841-7_14
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