A Clifford Algebra-based mathematical model for the determination of critical temperatures in superconductors

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Abstract

In recent years, numerous strides have been taken towards to discovery of superconducting lattices, exhibiting the Meissner–Ochsenfeld effect, at increasingly higher temperatures. In this work, we present a novel and generalised mathematical formulation, which maps the atomic and structural characteristics of superconducting lattice structures to their critical temperature. This formulation models many-agent systems by representing them as spatially distributed networks in R4 , 1 Conformal Geometric Algebraic space. Using these higher-dimensional mathematical representations, we present generalised relationships between the critical temperature and basic atomic information, including crystal unit cell data, for an arbitrary lattice structure. Case studies have been presented for Nd2Fe2Se2O3, LiFeAs, LaOFeAs, Sr2VO3FeAs, Sr2Mn2CuAs2O2 and Ba2YCu3O7.

Original languageEnglish
Pages (from-to)1926-1986
Number of pages61
JournalJournal of Mathematical Chemistry
Volume58
Issue number9
Early online date19 Jul 2020
DOIs
Publication statusPublished - 1 Oct 2020

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