Condensed Matter


The 'generalized Skettrup Model' and Matsubara Statistics

Authors: Valeri Ligatchev

The ‘Generalized Skettrup Model’ (GSM) [1], links features of near-band gap and intra-gap electronic as well as corresponding optical spectra of polycrystalline and spatially non-homogeneous amorphous semiconductors and insulators to probabilities of fluctuations in an energy of the individual quasi-particle, number of quasi-particle in a quantum grand canonical ensemble (QGCE) of confined acoustic phonons with plane-wave basis, and their aggregate energy. Features of the GSM are discussed herein in comparison to those of quantum statistics pioneered by Japanese physicist T. Matsubara [2], which takes into account fluctuations in temperature of QGCE. The GSM [1] might be ultimately treated as a ‘conservative’ counterpart of the generic Matsubara statistics for the specific case of ensemble of acoustic phonons confined within micrometer- and sub-micrometer-sized non-homogeneities (grains) of polycrystalline and spatially non-homogeneous amorphous semiconductors and insulators. However, scope of the GSM might be expanded further based on the fundamental idea, pioneered by T. Matsubara.

Comments: 6 Pages. The article contains comments on the book 'Poycrystalline and Spatially Non-Homogeneous Amorphous Semiconductors and Insulators' by Valeri Ligatchev, published by Nova Science Publishers, Inc., in the second quarter of the year 2017.

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Submission history

[v1] 2017-12-25 20:44:08
[v2] 2017-12-26 22:24:43

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