The critical conductance

M. Kaveh, N. F. Mott

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

The critical conductance at the metal-insulator transition for a threedimensional system is calculated. We find that due to localization effects, the conductance G(= σL) depends on the inelastic diffusion length Li with G ⋍ 0·03 e2/h for large values of Li and G-e2/h for small values of Li Experimental evidence is presented in support of this result. We also calculate the value of Gc in the equation σ = Gce2/hξ for metals near the transition and find that it is not universal. Depending on the material, Gc may change by more than an order of magnitude. This accounts for some recent experimental results.

Original languageEnglish
Pages (from-to)9-16
Number of pages8
JournalPhilosophical Magazine B: Physics of Condensed Matter; Statistical Mechanics, Electronic, Optical and Magnetic Properties
Volume55
Issue number1
DOIs
StatePublished - Jan 1987

Bibliographical note

Funding Information:
We are grateful to M. Pepper for discussions on this subject. Moshe Kaveh acknowledges an SERC Research Fellowship.

Funding

We are grateful to M. Pepper for discussions on this subject. Moshe Kaveh acknowledges an SERC Research Fellowship.

FundersFunder number
Connecticut State Emergency Response Commission

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