Properties of normal and superconducting phases in the low-energy models of high-$T_c$ cuprates

TL;DR

This paper investigates the properties of normal and superconducting phases in high-$T_c$ cuprates using a low-energy microscopic model that incorporates three-centers interactions and spin fluctuations, aligning well with experimental data.

Contribution

It introduces a detailed low-energy model for high-$T_c$ cuprates that accounts for complex interactions and reproduces key experimental observations.

Findings

Chemical potential evolution with doping matches experiments.

Fermi surface at optimal doping agrees with ARPES data.

The spin-exciton mechanism is active in p-type cuprates but insufficient to explain all differences.

Abstract

In the framework of the effective low-energy model for High-$T_c$ cuprates with account for three-centers interaction terms and spin fluctuations the properties of normal and superconducting phases of p- and n-type cuprates are investigated. Microscopic model parameters were obtained from ARPES data on undoped compounds. Obtained evolution of the chemical potential with doping, Fermi Surface at optimal doping, and $T_c(x)$ phase diagram for n-type cuprates are in remarkably good agreement with the experiment. It is shown that the spin-exciton mechanism due to singlet-triplet hybridization takes place in p-type, although it is too small to reproduce observed qualitative difference between p- and n-type cuprates.