Stripes and superconductivity in the two-dimensional self-consistent model

TL;DR

This paper presents analytical solutions for stripe and checkerboard phases, as well as coexistence with superconductivity, in a two-dimensional self-consistent superconductor model considering spin and charge distributions.

Contribution

It introduces analytical solutions for stripe, checkerboard, and coexisting phases in a 2D superconductor model with d_{x^2-y^2} symmetry, including spin and charge effects.

Findings

Solutions for spin-charge density wave phases without superconductivity.

Analytical solutions for coexistence of superconductivity and stripe phases.

Descriptions of stripe and checkerboard structures in the model.

Abstract

We found solutions of the Bogoliubov-de Gennes equations for the two-dimensional self-consistent model of superconductors with $d_{x^2-y^2}$ symmetry of the order parameter, taking into account spin and charge distributions. Analytical solutions for spin-charge density wave phases in the absence of the superconductivity ("stripe" and "checkerboard" structures) are presented. Analytical solutions for coexisting superconductivity and stripes are found.