Weak localization effects in granular metals

Abstract

The weak localization correction to the conductivity of a granular metal is calculated using the diagrammatic technique in the reciprocal grain lattice representation. The properties of this correction are very similar to that one in disordered metal, with the replacement of the electron mean free path $\ell$ by the grain diameter $d$ and the dimensionless conductance $g$ by the tunnelling dimensionless conductance $g_T$. In particular, we demonstrate that at zero temperature no conducting phase can exist for dimensions $D\le 2$. We also analyze the WL correction to magnetoconductivity in the weak field limit.

4 pages, 3 figures; minor corrections added

References in corpus (8)

• Coulomb effects in granular materials at not very low temperatures
• Transport properties of granular metals at low temperatures
• Negative Magnetoresistance of Granular Metals in a Strong Magnetic Field
• Transition from insulating to a non-insulating temperature dependence of the conductivity in granular metals
• Universal Description of Granular Metals at Low Temperatures: Granular Fermi Liquid
• Magnetoresistance of Granular Superconducting Metals in a Strong Magnetic Field
• Electron Transport in Granular Metals
• Electron transport in two-dimensional arrays

Cited by in corpus (10)

• Granular Electronic Systems
• Anomalous Hall effect in granular ferromagnetic metals and effects of weak localization
• Interplay of Coulomb Blockade and Ferroelectricity in Nano-Granular Materials
• Fluctuation spectroscopy of granularity in superconducting structures
• Hall Transport in Granular Metals and Effects of Coulomb Interactions
• Weak Localization in Metallic Granular Media
• Competition of the Coulomb and hopping based exchange interactions in granular magnets
• Superconducting Fluctuation Corrections to the Thermal Current in Granular Metals
• Drude Conductivity of a Granular System
• Fluctuation Spectroscopy in Granular Superconductors with Application to Boron-doped Nanocrystalline Diamond