  The effect of the long-range Coulomb interaction on charge accumulation in
antiferromagnetic vortices in high-Tc superconductors is studied within a
Bogoliubov-de Gennes mean-field model of competing antiferromagnetic and d-wave
superconducting orders. Antiferromagnetism is found to be associated with an
accumulation of charge in the vortex core, even in the presence of the
long-range Coulomb interaction. The manifestation of Pi-triplet pairing in the
presence of coexisting dSC and AFM order, and the intriguing appearance of
one-dimensional stripe-like ordering are discussed. The local density of states
(LDOS) in the vortex core is calculated and is found to be in excellent
qualitative agreement with experimental data.
