On temperature versus doping phase diagram of high critiical temperature superconductors

TL;DR

This paper proposes a model explaining the bell-shaped dependence of the critical temperature in high-$T_{c}$ superconductors on doping, linking it to phase fluctuations and damping mechanisms across doping regimes.

Contribution

It introduces a theoretical explanation for the doping-dependent critical temperature curve, emphasizing phase fluctuations and boson damping effects.

Findings

Linear increase of $T_c$ in underdoped regime explained by phase fluctuations.

Suppression of $T_c$ in overdoped regime linked to damping of long-wave bosons.

Model accounts for the characteristic bell-shaped $T_c$ versus doping curve.

Abstract

The attempt to describe the bell-shape dependence of the critical temperature of high-$T_{c}$ superconductors on charge carriers density is made. Its linear increase in the region of small densities (underdoped regime) is proposed to explain by the role of the order parameter phase 2D fluctuations which become less at this density growth. The critical temperature suppression in the region of large carrier densities (overdoped regime) is connected with the appearance (because of doping) of the essential damping of long-wave bosons which in the frame of the model proposed define the mechanism of indirect inter-fermion attraction.