Manifestation of hopping conductivity and granularity within phase diagrams of LaO 1-x F x BiS 2 , Sr 1-x La x FBiS 2 and related BiS 2 -based compounds.

Layered BiS [Formula: see text] -based series, such as LaO [Formula: see text] F [Formula: see text] BiS [Formula: see text] and Sr [Formula: see text] La [Formula: see text] FBiS [Formula: see text] , offer ideal examples for studying normal and superconducting phase diagram of a solid solution that evolves from a nonmagnetic band-insulator parent. We constructed typical [Formula: see text] phase diagrams of these systems based on events occurring in thermal evolution of their electrical resistivity, [Formula: see text]. Overall evolution of these diagrams can be rationalized in terms of (i) Mott-Efros-Shklovskii scenario which, within the semiconducting [Formula: see text] regime ([Formula: see text] metal-insulator transition), describes the doping influence on the thermally activated hopping conductivity. (ii) A granular metal (superconductor) scenario which, within [Formula: see text], describes the evolution of normal and superconducting properties in terms of conductance g, Coulomb charging energy E c and Josephson coupling J; their joint influence is usually captured within a [Formula: see text] phase diagram. Based on analysis of the granular character of [Formula: see text], we converted the [Formula: see text] diagrams into projected g - T diagrams which, being fundamental, allow a better understanding of evolution of various granular-related properties (in particular the hallmarks of normal-state [Formula: see text] feature and superconductor-insulator transition) and how such properties are influenced by x, pressure or heat treatment.