Josephson effect of massive pseudospin-1 fermions in the ferromagnetic α-T 3 model

Abstract We theoretically investigate the Josephson effect of massive pseudospin-1 fermions in the ferromagnetic α-T3 model, which includes the S z -and U-type fermions, via the modulation of parameter α. Our results first reveal that the non-ferromagnetic junction is invariably in the 0 state, with the supercurrent vanishing when the mass magnitude m or the junction length L is sufficiently large. In the ferromagnetic junction, the 0 -π state transition can be induced by varying the value of α, with this transition strongly influenced by m and the Fermi energy E F . Particularly, a large m is shown to cause the disappearance of both the 0 -π state transition and the supercurrent itself. Furthermore, we demonstrate the distinctive supercurrent properties that characterize the S z - and U-type fermions. These results may provide valuable insights for developing quantum electronic devices based on the superconducting properties of α-T 3 materials with massive pseudospin-1 fermions.