Numerical Study of Transition to Stripe Phases in High Temperature Superconductors Under a Strong Magnetic Field

TL;DR

This study uses self-consistent calculations to explore how spin and charge density waves in high-temperature superconductors transition under strong magnetic fields, revealing critical interactions and stripe order formations.

Contribution

It introduces a detailed model showing the emergence of stripe phases and their stabilization near vortex cores in high-T_c superconductors under magnetic fields.

Findings

Existence of a critical Coulomb interaction U_c.

Stripe orders are stabilized near vortex cores.

Wavelengths of AF and charge stripes are 8a and 4a respectively.

Abstract

The nature of spin density wave (SDW) and charge density wave (CDW) in the mixed state of high T_c superconductors (HTS) is investigated by using the self-consistent Bogoliubov-de Gennes equations and an effective model Hamiltonian with competing SDW and d-wave superconductivity interactions. We show that there exists a critical onsite Coulomb interaction U_c. For optimally doped sample, a two dimensional SDW and CDW modulations are induced for U < U_c while SDW and CDW orders become antiferromagnetic (AF) and charge stripes for U > U_c. These stripe orders are stabilized and enhanced near the vortex cores. The wavelengths of the AF stripes and charge stripes are found respectively to be 8 a and 4 a with a as the lattice constant. We show that our results could be applied to understand several recent experiments on HTS.