Effects of the Backward Scattering in Two-Dimensional Electron System

TL;DR

This paper investigates how backward scattering affects two-dimensional electron systems, revealing coexistence of d-wave superconductivity, antiferromagnetism, and $\pi$-triplet pairing near half filling through a mean field analysis.

Contribution

It provides a detailed analysis of backward scattering effects and demonstrates the coexistence of multiple phases in a 2D electron system near half filling.

Findings

Coexistence of d-wave superconductivity, antiferromagnetism, and $\pi$-triplet pairing.

Phase diagram showing these phases near half filling.

Backward scattering significantly influences phase stability.

Abstract

Effects of the backward scattering with large momentum transfer are examined in two-dimensional electron system with a special emphasis on electrons around ($\pi$,0), (0,$\pi$). The phase diagram is shown in the plane of temperature $T$ and hole doping $\delta$ in the mean field approximation and it is found that d-wave superconductivity, antiferromagnetism and $\pi$-triplet pair can coexist near half filling.