Analytical coexistence of s, p, s + p phases of a holographic superconductor

Understand

We analytically study the critical phase of a mixed system of the U(2) gauge fields and global symmetry on the boundary using gauge/gravity.

• A variational minimization problem has been formulated.
• The numerical results pertinently show that there exists a minimum chemical potential in which both scalar (s-wave) and vector (p-wave) condensates exist in a mixture, as well as in the distinct s- and p-phases.
• This result is obtained by breaking the symmetry into U(1) symmetry and rotational symmetry.