Superconductivity and local non-centrosymmetricity in crystal lattices
Mark H. Fischer, Florian Loder, and Manfred Sigrist

TL;DR
This paper explores how local non-centrosymmetricity in crystal lattices influences superconductivity, extending the understanding of pairing mechanisms in materials lacking global inversion symmetry.
Contribution
It introduces an extended classification of Cooper-pairing channels considering local inversion symmetry breaking within crystal lattices.
Findings
Analysis of three crystal structures with local non-centrosymmetricity
Identification of potential relevance to iron-pnictide superconductors
Extension of superconductivity classification based on lattice symmetry
Abstract
Symmetry of the crystal lattice can be a determining factor for the structure of Cooper pairs in unconventional superconductors. In this study we extend the discussion of superconductivity in non-centrosymmetric materials to the case when inversion symmetry is missing locally, but is present on a global level. Concretely, we investigate the staggered non-centrosymmetricity within a regular sublattice structure, in some analogy to the discussion of superconductivity in antiferromagnetic systems. Three crystal structures are analyzed in detail as illustrative examples for the extended classification of Cooper-pairing channels. One of the cases may be relevant for the class of iron-pnictide superconductors.
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