Spin-charge ordering induced by magnetic field in superconducting state: analytical solution in the two-dimensional self-consistent model

TL;DR

This paper presents an analytical solution to the Bogoliubov-de Gennes equations for a 2D Hubbard model, revealing how magnetic fields induce stripe-like spin-charge order in superconductors with d-wave symmetry.

Contribution

It provides the first analytical demonstration of magnetic field-induced stripe order in a self-consistent 2D superconductor model with d-wave pairing.

Findings

Magnetic field stabilizes stripe-like inhomogeneous order.

Spatial inhomogeneity leads to space-modulated spin-charge-superconducting order.

Analytical solutions confirm the emergence of stripe domains under magnetic field.

Abstract

Solutions of the Bogoliubov-de Gennes equations for the two-dimensional self-consistent Hubbard t-U-V model of superconductors with $d_{x^2-y^2}$ symmetry of the order parameter in the presence of a magnetic field are found. It is shown that spatial inhomogeneity of superconducting order parameter results in the emergence of stripe-like domains that are stabilized by applied magnetic field leading to emergence of space-modulated composite spin-charge-superconducting order parameter.