Mesoscopic charging effects in the σ model for granular metals
Abstract
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 σmodel action contains a term which is crucial for studying Coulomb blockade effects. Topological properties of the σ 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.
 Publication:

Physical Review B
 Pub Date:
 February 2004
 DOI:
 10.1103/PhysRevB.69.081406
 arXiv:
 arXiv:condmat/0308254
 Bibcode:
 2004PhRvB..69h1406A
 Keywords:

 73.23.Hk;
 73.22.Lp;
 73.40.Gk;
 Coulomb blockade;
 singleelectron tunneling;
 Collective excitations;
 Tunneling;
 Condensed Matter  Mesoscale and Nanoscale Physics
 EPrint:
 4 pages