Asymmetry of Superconductivity in Hole- and Electron-doped Cuprates: Explanation within Two-Particle Self-Consistent Analysis for the Three-Band Model

TL;DR

This paper explains the contrasting doping dependence of superconducting transition temperatures in hole- and electron-doped cuprates using a two-particle self-consistent analysis of a three-band model, highlighting intrinsic asymmetries and vertex corrections.

Contribution

It introduces a two-particle self-consistent approach to the three-band model to explain the asymmetry in superconductivity between hole- and electron-doped cuprates.

Findings

Reproduces the doping asymmetry of $T_c$ in cuprates.

Shows the role of electron-hole asymmetry and vertex corrections.

Explains monotonic increase of $T_c$ in electron-doped systems.

Abstract

In the hole-doped cuprate superconductors, the superconducting transition temperature $T_c$ exhibits a dome-like feature against the doping rate. By contrast, recent experiments reveal that $T_c$ in the electron-doped systems monotonically increases as the doping is reduced, at least up to a very small doping rate. Here we show that this asymmetry is reproduced by performing a two-particle self-consistent analysis for the three-band model of the CuO$_2$ plane. This is explained as a combined effect of the intrinsic electron-hole asymmetry in systems comprising Cu3$d$ and O2$p$ orbitals and the band-filling-dependent vertex correction.