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Interband light absorption coefficient; random operators; density of states.

In this paper we consider the interband light absorption coefficient (ILAC) for various models. We show that at the lower and upper edges of the spectrum the Lifshitz tails behaviour of the density of states implies similar behaviour for the ILAC at appropriate energies. The Lifshitz tails property is also exhibited at some points corresponding to the internal band edges of the spectrum.

W Kirsch¹ M Krishna²

1. Fakultät für Mathematik und Informatik, FernUniversität in Hagen, 58084 Hagen, Germany
2. Institute of Mathematical Sciences, Taramani, Chennai 600 113, India

Published

September 2010

Manuscript received

31 March 2009

Manuscript revised

21 March 2010