Holographic multi-condensate with nonlinear terms

Abstract

We study the influence of nonlinear terms quartic of the charged fields, which do not change the critical points of single condensate solutions, on the phase structure of a holographic model with multi-condensate in 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 of the charged fields with coefficients λ s , λ p and λ sp on the phase structure. We show the influence of each of the three parameters on the phase diagram with other two set to zero, respectively. With these nonlinear terms, we get more power on tuning the phase structure of the holographic system showing multi-condensate, and show how to get a reentrant phase transition as an example.

H-T phase diagrams of a holographic p-wave superfluid

“…We should notice that near the solid green line, which denotes the intersection points of grand potential curves of p-wave and p+ip solutions, a coexistent solution with both the two orders duel to ρ 1µ and ρ 2µ non-zero might be the most stable. However, we can always increase the value of λ, which is the coefficient of the interacting term, to make the coexistent solution unstable [34]. Therefore, the first order phase transitions between the p-wave and p+ip solutions marked by the solid green line is true with a large enough value of λ.…”

“…Therefore a lot of study emerge to consider the more general p-wave superfluid in various setups [10][11][12][13][14][15][16][17][18][19][20][21][22][23]. Further investigations also involve in both the s-wave and p-wave orders together to study the competition and coexistence between the two different orders in holography [24][25][26][27][28][29][30][31][32][33][34].…”