Electron transport in liquid Na, K and Rb: T-matrix formalism revisited

A. Ben Abdellah, K. Bouziane, B. Grosdidier, S. M. Mujibur Rahman, J. G. Gasser

Research output: Contribution to journalArticle

Abstract

We have performed ab initio calculations based on t-matrix formalism in the framework of the nearly free electron [NFE] theory to determine the electrical resistivity ρ and the thermoelectric power S of three liquid alkali metals, namely, Na, K and Rb. The present approach is primarily based on the Dreirach model that considers a shift EB between the bottom of the free electrons density-of-states (DOS) and the muffin tin zero (VMTZ). Concurrently the second model initiated by Esposito et al. that takes into account the nearly free electrons (NFE) without any gap between NFE-DOS and VMTZ has also been tested. The results ρ and S obtained from the Esposito et al. model are not consistent with experimental counterparts. A substantial improvement of ρ and S values is obtained from Dreirach model provided the temperature dependence of ρ versus energy is considered in order to reproduce the correct sign for S. This observation is presumably related to the fact that in the range between 0 and EF on the energy scale, the DOS for these metals fairly resemble those of free electrons yielding their effective valence Nc to be very close to the valence number Z but with a shift of the bottom of the band which cannot be neglected.

Original languageEnglish
Pages (from-to)4978-4981
Number of pages4
JournalPhysica B: Physics of Condensed Matter
Volume405
Issue number24
DOIs
Publication statusPublished - Dec 15 2010

Fingerprint

free electrons
formalism
Electronic density of states
Liquids
matrices
liquids
Electrons
electrons
Alkali Metals
Tin
Thermoelectric power
Alkali metals
valence
shift
liquid metals
Metals
alkali metals
tin
Electron Transport
temperature dependence

Keywords

  • Alkali metals
  • Electrical transport
  • t-matrix formalism

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials
  • Electrical and Electronic Engineering

Cite this

Electron transport in liquid Na, K and Rb : T-matrix formalism revisited. / Ben Abdellah, A.; Bouziane, K.; Grosdidier, B.; Mujibur Rahman, S. M.; Gasser, J. G.

In: Physica B: Physics of Condensed Matter, Vol. 405, No. 24, 15.12.2010, p. 4978-4981.

Research output: Contribution to journalArticle

Ben Abdellah, A. ; Bouziane, K. ; Grosdidier, B. ; Mujibur Rahman, S. M. ; Gasser, J. G. / Electron transport in liquid Na, K and Rb : T-matrix formalism revisited. In: Physica B: Physics of Condensed Matter. 2010 ; Vol. 405, No. 24. pp. 4978-4981.
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