Antiferromagnetism and charged vortices in high-Tc superconductors

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 Π-triplet pairing in the presence of coexisting d-wave superconductivity and antiferromagnetic order, and the intriguing appearance of one-dimensional stripelike ordering are discussed. The local density of states in the vortex core is calculated and is found to be in excellent qualitative agreement with experimental data.