Application of Bogoliubov-de gennes equations to vortices in Hubbard superconductors
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In this work, the formation of d-wave superconducting magnetic vortex is studied within the Bogoliubov-de Gennes formalism and the generalized Hubbard model, which leads to 2N2 coupled self-consistent equations for a supercell of N×N atoms. These equations determine the spatial variation of the superconducting gap as a function of the electron concentration and electron-electron interactions. The results show that the superconducting states induced by the correlated hopping (Δt3) are more sensitive to the presence of magnetic field than those induced by attractive nearest-neighbor interaction (V). Furthermore, we calculate the electronic specific heat as a function of the temperature for a given applied magnetic field, whose behavior has a qualitative agreement with experimental data. © 2015 Materials Research Society.
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Electron-electron interactions; Magnetic fields; Magnetism; Specific heat; Applied magnetic fields; Bogoliubov-de Gennes equations; Electron concentration; Electronic specific heat; Nearest-neighbor interactions; Self-consistent equations; Superconducting gaps; Superconducting state; Vortex flow
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