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    • Lifshitz Tails for the Interband Light Absorption Coefficient

      W Kirsch M Krishna

      Volume 120 Issue 4 September 2010 pp 465-479

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/120/04/0465-0479

    • Keywords

       

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

    • Abstract

       

      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.

    • Author Affiliations

       

      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

    • Dates

       
      Published
      September 2010
      Manuscript received
      31 March 2009
      Manuscript revised
      21 March 2010

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