Quasi-static oxygen hole lattice in the CuO_2 plane and its temperature rigidity

TL;DR

This paper proposes that a temperature-dependent quasi-static oxygen hole lattice in cuprates influences superconductivity, with a balance point near the critical temperature, suggesting a link between lattice stability and superconducting transition.

Contribution

It introduces a model where a temperature-dependent oxygen hole lattice in cuprates explains the superconducting transition in relation to Coulomb interactions and thermal energy.

Findings

The oxygen hole lattice stability depends on doping level.

The balance temperature aligns closely with the superconducting transition temperature.

Coulomb and thermal energies determine lattice displacements.

Abstract

The possible scenario of what happens in the plane during the doping of cuprates with oxygen holes is subject of this brief communication. The simultaneously inserted oxygen holes and electrons create two components plasma. The oxygen holes driven by the repelling Coulomb force create a quasi-static lattice, the dimension of which depends on the doping level. The stability of such a lattice, according to the equipartition theorem, depends on the temperature. On this basis one can define the temperature at which the Coulomb repelling energy is balanced by thermal energy of the displacements of oxygen holes from their equilibrium positions in the hole lattice. This balance temperature is amazingly close to the superconducting transition temperature within range defining by doping dome for cuprates.