Interplay with superconducting properties

We start our discussion with simple concepts from the band theory for solids, discuss what can break the symmetry of one-dimensional systems, introduce electrical conductivity and superconductivity, present the Mulliken charge transfer theory for solution complexes and its extension to solids, then discuss briefly the simple tt electron theory for long polyenes. Other articles in this volume review the detailed interplay between structure and electronic properties of conductors and superconductors [206], and electrical transport in conducting polymers [207],... 

Perovskite materials (ABX3) exhibit many fascinating properties from both theoretical and application perspectives, including ferroelectricity, superconductivity, charge ordering, and spin-dependent transport. The interplay of compositional, structural, optical, and transportation properties is commonly observed in this family, making them promising candidates as photocatalysts. Perovskites are characterised by a crystal structure similar to that of calcium titanium oxide (CaTiOs). Normally A and B sites are occupied by two cations with very different sizes (dA > dfi), whereas X (normally O) is an anion that bonds to both. In the ideal cubic-symmetry structure, the A and B cations are 12- and sixfold coordinated in bulk and surrounded by cuboctahedron and octahedron of anions, respectively. 

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