Holographic multicondensate with nonlinear terms

Abstract

We study the influence of nonlinear terms quartic of the condensates on the phase structure of a holographic model with a multicondensate in the probe limit. We include one s-wave order and one p-wave order charged under the same U(1) gauge field in the holographic model and study the influence of the three quartic nonlinear terms with coefficients ${\ensuremath{\lambda}}_{s}$, ${\ensuremath{\lambda}}_{p}$ and ${\ensuremath{\lambda}}_{sp}$ on the phase structure. The quartic terms in action result in cubic nonlinear terms in equations of motion, which do not affect the critical points of a single condensate because the infinitesimal condensate value vanishes the nonlinear contributions. However, the quartic terms have a clear influence on the phase structure of systems containing multicondensates. We show the influence of each of the three parameters on the phase diagram with the other two set to zero, respectively. With these nonlinear terms, we get new power on tuning the phase structure of the holographic systems showing multicondensates, and realize a reentrant phase transition as an example.