Various phase transitions in a holographic p-wave superfluid model with nonlinear terms

Abstract This study realizes various phase transitions, including the 2nd, 1st and 0th order ones, in a holographic p-wave superfluid model including 4th and 6th power nonlinear terms with coefficients $$\lambda $$ λ and $$\tau $$ τ . We present the condensate and free energy curves for the various phase transitions, which along with the $$\lambda -\tau $$ λ - τ parameter space confirm the universal control of the 4th and 6th power terms on the phase transitions previously discovered in the holographic s-wave model. With a slightly negative value of $$\lambda $$ λ , we further present a typical $$\tau -\rho $$ τ - ρ phase diagram featuring a line of first-order phase transition points that terminates at a critical point, beyond which lies a supercritical region.