BEHAVIOR OF SLOW ELECTRONS IN POLAR CRYSTALS
MASSACHUSETTS INST OF TECH CAMBRIDGE LAB FOR INSULATION RESEARCH
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The effective mass of slow electrons in polar crystals is investigated by using the continuum model of Pekar Zhur. Eksp. i Teort. Fiz. 19796, 1949 and Frohlich, Pelzer, and Zienau Phil. Mag. 41221, 1950. The Hamiltonian is studied in a Fock representation so that effects of several quanta can be assessed. The calculations show that the effective mass is larger than that predicted by the 1 quantum solution, but that the effective mass is still small for weakly polar crystals. For excess electrons in strongly polar crystals many quantum contributions must be included, and the present method is inappropriate. Whether the effective mass is small in this case is uncertain. Holes in polar crystals appear to satisfy the conditions for the validity of the theory to Landau and Pekar Zhur. Eksp. i Teort. Fiz. 18419, 1948 which predicts a high effective mass.
- Electricity and Magnetism
- Quantum Theory and Relativity