Journal of Statistical Physics

, Volume 38, Issue 1–2, pp 313–327 | Cite as

Spontaneous symmetry breaking of optimum fluctuations in semiconductors

  • F. V. Kusmartsev
  • E. I. Rashba


The optimum fluctuation method (OFM) has been applied to the tails of the density of states, arising near the edges of the spherically symmetric degenerate bands. In this case the optimum fluctuations (OF) have been shown to undergo a qualitative change, as compared to the case of nondegenerate bands, they lose the spherical symmetry and become elongated or flattened. This means that spontaneous breaking of symmetry takes place. In addition to the usual mechanism of tailing due to the potential of impurities, another mechanism connected with the field of random deformations, arising due to difference in the size of the guest and host atoms, has been also considered. The method used for treating this problem is intimately related to the techniques of the theory of self-trapping. The density of states in the tails, and in some cases the shape of OFs, have been found for all the cases under consideration.

Key words

Density of state tails spontaneous symmetry breaking optimum fluctuation method degenerate energy bands virial theorem for nonlinear functionals 


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Copyright information

© Plenum Publishing Corporation 1985

Authors and Affiliations

  • F. V. Kusmartsev
    • 1
  • E. I. Rashba
    • 1
  1. 1.L. D. Landau Institute for Theoretical PhysicsAcademy of Sciences of the U.S.S.R.MoscowUSSR

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