Numerical study of the transition to stripe phases in high-temperature superconductors under a strong magnetic field

The nature of the spin density wave (SDW) and charge density wave (CDW) in the mixed state of high-(formula presented) 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 on-site Coulomb interaction (formula presented) For optimally doped sample, two-dimensional SDW and CDW modulations are induced for (formula presented) while SDW and CDW orders become antiferromagnetic (AF) and charge stripes for (formula presented) 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 (formula presented) and (formula presented) with a as the lattice constant. We show that our results could be applied to understand several recent experiments on HTS.