English

The Microscopic Response Method: theory of transport for systems with both topological and thermal disorder

Statistical Mechanics 2023-07-19 v3

Abstract

In this paper, we review and substantially develop the recently proposed "Microscopic Response Method", which has been devised to compute transport coefficients and especially associated temperature dependence in complex materials. The conductivity and Hall mobility of amorphous semiconductors and semiconducting polymers are systematically derived, and shown to be more practical than the Kubo formalism. The effect of a quantized lattice (phonons) on transport coefficients is fully included and then integrated out, providing the primary temperature dependence for the transport coefficients. For higher-order processes, using a diagrammatic expansion, one can consistently include all important contributions to a given order and directly write out the expressions of transport coefficients for various processes.

Keywords

Cite

@article{arxiv.1008.1067,
  title  = {The Microscopic Response Method: theory of transport for systems with both topological and thermal disorder},
  author = {MingLiang Zhang and D. A. Drabold},
  journal= {arXiv preprint arXiv:1008.1067},
  year   = {2023}
}

Comments

paper: 12.3 pages, 13 figures, submitted to physica status solidi (b), supporting information: 14.5 pages