Holographicp-wave superfluid

Abstract

In the probe limit, we numerically construct a holographic p-wave superfluid model in the four-dimensional (4D) and five-dimensional (5D) anti-de Sitter black holes coupled to a Maxwellcomplex vector field. We find that, for the condensate with the fixed superfluid velocity, the results are similar to the s-wave cases in both 4D and 5D spacetimes. In particular, the Cave of Winds and the phase transition always being of second order take place in the 5D case. Moreover, we find the translating superfluid velocity from second order to first order increases with the mass squared.Furthermore, for the supercurrent with fixed temperature, the results agree with the GinzburgLandau prediction near the critical temperature. In addition, this complex vector superfluid model is still a generalization of the SU(2) superfluid model, and it also provides a holographic realization of the He 3 superfluid system.

Lifshitz effects on holographic p-wave superfluid

“…4(b), the evident first-order transition emerges for z = 1, which agrees with the result in Ref. [50]. However, with the increasing z, the character of the first-order transition (such as the double value of the condensate curve) becomes less obvious until the appearance of the second-order transition in the cases of z = 7 5 and 3 2 , which not only means that the improving z hinders the emergence of the first-order phase transition, but also agrees with the phase diagram in Fig.…”

“…[2], a new holographic p-wave superconductor model was built by coupling a Maxwell-complex vector (MCV) field with the four-dimensional (4D) Schwarzschild AdS black hole [43], for related works, see Refs. [44][45][46][47][48][49][50]. It was shown that only the external magnetic field can induce the condensate, which is similar to result of the QCD vacuum phase transition in Ref.…”

“…Moreover, due to the contribution of the Lifshitz parameter z to the effective dimension of the gravitational spacetime, the Cave of Winds appears when taking z = 6 5 and 7 5 , especially in the case of z = 6 5 and S y μ 5/6 = 7 10 in Fig. 3, which can only be observed in the 5D AdS black hole [40,50].…”

“…In the case of S y μ 5/6 = 3 5 , we can observe that when the vector field begins to condensate, it seems a second-order phase transition as expected from the phase diagram. However, with the increasing condensate, the Cave of Winds observed only in the 5D AdS black hole with sufficiently large superfluid velocity [40,50] appears, which depends on the role of the Lifshitz parameter z in changing the effective dimension of the gravitational background [26], and is obvious from the metric function, i.e., f (r) in Eq. (1).…”

P-T phase diagram of a holographic s+p model from Gauss-Bonnet gravity

“…The results in this paper can also be get form the extension of the complex vector holographic p-wave model [41,42] as given in ref. [17].…”