Induced Representation Method in the Theory of Electron Structure and Superconductivity

Author:

Yarzhemsky V. G.12ORCID

Affiliation:

1. Kurnakov Institute of General and Inorganic Chemistry, 31 Leninsky Prospect, 119991 Moscow, Russia

2. Moscow Institute of Physics and Technology, Dolgoprudny, 9 Institutskiy Lane, 141700 Moscow, Russia

Abstract

It is shown that the application of theorems of induced representations method, namely, Frobenius reciprocity theorem, transitivity of induction theorem, and Mackey theorem on symmetrized squares, makes simplifying standard techniques in the theory of electron structure and constructing Cooper pair wavefunctions on the basis of one-electron solid-state wavefunctions possible. It is proved that the nodal structure of topological superconductors in the case of multidimensional irreducible representations is defined by additional quantum numbers. The technique is extended on projective representations in the case of nonsymmorphic space groups and examples of applications for topological superconductors UPt3 and Sr2RuO4 are considered.

Funder

Kurnakov Institute of General and Inorganic Chemistry

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

Reference39 articles.

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