Theory of Cyclotron Resonance Line Width Due to Impurity Scattering

概要

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Starting from the Kubo formula, the frequency-dependent magnetoconductivity is calculated in a self-consistent t-matrix approximation for impurity scattering. When the concentration of impurities is dilute, magnetoconductivity is shown expressible by exact solutions of scattering from an isolated impurity. In the quantum limit, the resonance line shape due to an electron is expressed in terms of phase shifts of wave functions related to the state of the electron. In order to see effects of higher order terms of the potential energy, the k-matrix is approximated by the lowest order term. The screened Coulomb potential is treated in this approximation. The usual Born approximation applied to the t-matrix is shown to be poor even for higher energy states. The shift of resonance line varies for different energy state. The variance can be larger than the width of constituent lines, and be important in considering the composite line width.
理論物理学刊行会の論文
1981-06-10