Bose–Einstein condensation of two-dimensional spin-1 Cooper pairs in a uniform magnetic field

Abstract Bose–Einstein condensation of two-dimensional spin-1 Cooper pairs in a uniform magnetic field is investigated within the framework of quantum statistical mechanics. We derive an exact analytical solution of two-dimensional spin-1 Cooper pairs in a uniform magnetic field, which involves a q -digamma function in mathematics. In two dimensions, it is found that the critical temperature and condensate fraction are monotonically increasing functions of magnetic field B , Landé factor g , and number density σ . Our investigation in two dimensions provides an example of the magnetic-field-tuned insulator-superconductor quantum phase transition.