Polar Jahn-Teller Centers and Isotope Effect in Copper Oxide high-T_c-Superconductors

TL;DR

This paper models copper oxides as systems of local singlet bosons in Jahn-Teller centers to explain isotope effects in high-temperature superconductors.

Contribution

It introduces a novel model of copper oxides as quantum lattice boson systems with Jahn-Teller centers, explaining isotope effects.

Findings

Qualitative and quantitative description of isotope shift effects.

Modeling of copper oxides as Bose-gas or local singlet bosons.

Insights into the role of Jahn-Teller centers in superconductivity.

Abstract

The $CuO_4$-cluster based copper oxides are considered as generalized quantum lattice bose-gas or a system of the local singlet bosons moving in a lattice of the hole Jahn-Teller centers $[CuO_{4}^{5-}]_{JT}$. The model is illustrated by the qualitative and quantitative description of the various peculiarities of an isotope shift (IS-) effect in a series of 123-like oxides.