Bogoliubov-de Gennes formalism; d-wave superconductivity; Generalized Hubbard model; Magnetic vortices; Specific heat Carrier concentration; Ceramic superconductors; Copper compounds; Electron-electron interactions; Hubbard model; Lanthanum compounds; Magnetic fields; Photoelectron spectroscopy; Specific heat; Strontium compounds; Temperature distribution; Vortex flow; Angle resolved photoemission spectroscopy; Bogoliubov; D-wave superconductivity; Electronic specific heat; External magnetic field; Magnetic vortices; Type II superconductors; Upper critical magnetic fields; Specific heat of solids