Mesoscopic charging effects in the σ model for granular metals

A. V. Andreev, I. S. Beloborodov

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6 Citations (Scopus)


We derive the σ model for granular metals. It is valid for any relation between the temperature T and the grain mean level spacing. The continuum limit of the σ model describes nonperturbative charging effects in homogeneous disordered metals. The s-model action contains a term which is crucial for studying Coulomb blockade effects. Topological properties of the s model encoding charge discreteness are studied. For T below the escape rate from the grain, Γ, Coulomb blockade effects are described by solitons of the Q matrix which are delocalized in real space. At T > Γ the solitons transform into phase instantons localized at a single tunneling contact.

Original languageEnglish
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number8
Publication statusPublished - 2004
Externally publishedYes


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