Efeitos da hibridização e do campo magnético externo na supercondutividade de modelos multibandas

Abstract

Superconductivity one of the most intriguing physical phenomena has been extensively studied due to their potential for technological applications. Despite advances in research in physics there is still no complete theory to explain the phenomenon. We study the behavior of a superconducting system described by a multiband model. We consider the interband interaction, i.e., the interaction is between the fermions with dierent masses at dierent bands, under the inuence hybridization. Also, we study the intraband interaction with hybridization and external magnetic eld. Using the method of Green's functions of Zubarev, we calculate the superconducting order parameters with intra-and interbanda interaction at zero temperature, ie, T = 0, and for dierent temperatures of zero. Interband interaction obtained in the superconducting order parameter as a function of temperature and hybridization V. The phase diagram T versus V was also obtained. The superconducting properties, such as free energy, entropy and specic heat, were also determined in the intraband interaction. Initially, we calculate the superconducting properties in zero eld, ie, for H = 0, then we consider the presence of external magnetic eld H nonzero. obtained an implicit equation that relates the magnetic field, temperature and hybridization, which allowed us to obtain the phase diagram T versus T and T versus V . Our results show that both the hybridization V , as the external magnetic field H acts at the expense of superconductivity by suppressing it. We noticed also, and conrmed by other studies, that the intraband interaction, we have only second order transition, since the interaction interbanda, we obtained a superconducting tricritico point where we encounter a line first with a second order. Based on these results, we conclude that left a signicant contribution to research in superconductivity.