the thermodynamic properties of polarized metallic nanowire in the presence of magnetic field

in this article, the second quantization method has been used to investigate some thermodynamic properties of spin-polarized metallic nanowire in the presence of magnetic field at zero temperature. we have been observed that in different magnetic field, the equilibrium energy of system increases as the density increases. the spin-polarization parameter corresponding to the equilibrium state of the system has been plotted as a function of density for different values of the magnetic field. we have concluded that for the magnetic fields less than 100 t at high densities, the system nearly becomes unpolarized. however, for higher magnetic fields, the system has a substantial spin-polarization, even at high densities. finally, we have calculated the kinetic pressure and incompressibility versus the density for different values of the magnetic field. it is obvious that as the density increases both of them increase and the difference between them at different magnetic field becomes more appreciable.