Coulomb gap triptychs, √2 effective charge, and hopping transport in periodic arrays of superconductor grains

@article{Chen2012CoulombGT,
  title={Coulomb gap triptychs, √2 effective charge, and hopping transport in periodic arrays of superconductor grains},
  author={Tianran Chen and Brian Skinner and B. I. Shklovskii},
  journal={Physical Review B},
  year={2012},
  volume={86},
  pages={045135}
}
In granular superconductors, individual grains can contain bound Cooper pairs while the system as a whole is strongly insulating. In such cases the conductivity is determined by electron hopping between localized states in individual grains. Here we examine a model of hopping conductivity in such an insulating granular superconductor, where disorder is assumed to be provided by random charges embedded in the insulating gaps between grains. We use computer simulations to calculate the single… 

Figures from this paper

Theoretical studies of the interplay between superconductivity and disorder
Title of dissertation: THEORETICAL STUDIES OF THE INTERPLAY BETWEEN SUPERCONDUCTIVITY AND DISORDER Anirban Gangopadhyay, Doctor of Philosophy, 2012 Dissertation directed by: Dr. V. M. Galitski
Observation of Coulomb Gap and Enhanced Superconducting Gap in Nano-Sized Pb Islands Grown on SrTiO3
We report high-resolution scanning tunneling microscopy (STM) study of nano-sized Pb islands grown on SrTiO3, where three distinct types of gaps with different energy scales are revealed. At low
Marginal Stability in Structural, Spin, and Electron Glasses
We revisit the concept of marginal stability in glasses and determine its range of applicability in the context of an avalanche-type response to slow external driving. We argue that there is an
Disorder effects on electron transport in nanocrystal assemblies and topological insulators
University of Minnesota Ph.D. dissertation. August 2014. Major: Physics. Advisor: Boris Shklovskii. 1 computer file (PDF); viii, 114 pages.
Hopping conductance and macroscopic quantum tunneling effect in three dimensional Pbx(SiO2)1−x nanogranular films
We have studied the low-temperature electrical transport properties of Pb$_x$(SiO$_2$)$_{1-x}$ ($x$ being the Pb volume fraction) nanogranular films with thicknesses of $\sim$1000 nm and $x$ spanning