Relationship between path-integral and scaling theories of small polarons

Sajeev John, Morrel H. Cohen

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


The detailed correspondence between the Emin-Holstein scaling theory and Feynman path-integral method for small-polaron formation is presented. In particular it is shown that the first-cumulant approximation to the path integral using a harmonic trial action in the adiabatic limit is identical to the use of a Gaussian trial wave function in the Emin-Holstein one-parameter scaling theory for the ground-state energy with polaron radius. This is then generalized to a simple two-parameter scaling theory involving both the polaron radius as well as nonadiabaticity of the electron-phonon interaction.

Original languageEnglish (US)
Pages (from-to)2428-2433
Number of pages6
JournalPhysical Review B
Issue number4
StatePublished - 1986
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics


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