Spatial Distribution of LDOS in Cuprate Superconductors With Magnetic-Field-Induced Stripe Modulation

TL;DR

This study uses a phenomenological model to explore how magnetic fields induce stripe modulations in spin and charge densities in cuprate superconductors, revealing localized and extended LDOS patterns consistent with experimental observations.

Contribution

It demonstrates the possibility of magnetic-field-induced SDW and CDW stripe orders with specific periods in cuprates, providing detailed spatial LDOS profiles and symmetry considerations.

Findings

Magnetic fields induce SDW and CDW with periods of 8a and 4a.

LDOS shows stripe-like modulations near vortex cores and at higher energies.

Stripe modulation strength decays away from vortex cores.

Abstract

A phenomenological model defined in a two dimensional lattice is employed to investigate the d-wave superconductivity and the competing antiferromagnetic order in cuprate superconductors. Near the optimally doped regime, we show that it is possible to induce the spin density wave (SDW) and the accompanying charge density wave (CDW) orders with stripe modulations by applying a magnetic field. The periods of the magnetic field induced SDW and CDW are $8a$ and $4a$, respectively. The spatial profiles of the local density of states (LDOS) at various bias energies have also been numerically studied. Near and beyond the energies of the vortex core states, we found that the LDOS may display the CDW stripe-like modulation throughout the whole magnetic unit cell. For energies closer to the zero bias, the stripes appear to be rather localized to the vortex. The intensity of the integrated spectrum of the LDOS shows that the strength of the stripe modulation is decaying away from the vortex core. This feature is in good agreement with STM experiments. The case for the magnetic-field induced SDW/CDW with 4-fold symmetry has also been studied.