Holographic p-wave superfluid in the AdS soliton background with RF2 corrections

Abstract

We investigate the holographic p-wave superfluid in the background metric of the AdS soliton with RF 2 corrections. Two models, namely, the Maxwell complex vector field model and Yang-Mills theory, are studied in the above context by employing the Sturm-Liouville approach as well as the shooting method. When turning on the spatial components of the gauge field, one observes that, in the probe limit, the inclusion of RF 2 corrections hinders the superfluid phase transition. On the other hand, however, in the absence of the superfluid velocity, it is found that the RF 2 corrections lead to distinct effects for the two models. Regardless of either the RF 2 correction or the spatial component of the gauge field, the phase transition of the system is observed to be always of the second order. Moreover, a linear relationship between the charge density and chemical potential is largely established near the critical point in both holographic superfluid models.

An analytic study on the excited states of holographic superconductors

“…Thus, as discussed in Refs. [18,29,30], we have to impose an additional Neumann boundary condition F ′ (0) = 0 for the operator O 1 but need not impose any restrictions on F ′ (z) for the operator O 2 .…”

Holographic insulator/superconductor phase transitions with excited states

“…Thus, we have to impose the Neumann boundary condition F ′ (0) = 0 for the operator O − , just as analyzed in Refs. [21,53,57,62].…”

“…For the ground state, Nishioka et al showed that the soliton becomes unstable to form scalar hair and a second order phase transition can happen when the chemical potential is sufficiently large beyond a critical value µ c , which can be used to describe the transition between the insulator and superconductor [24]. This pioneering work has led to many investigations concerning the s-wave [25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44], p-wave [45][46][47][48][49][50][51][52][53][54] and s+p [55] holographic insulator/superconductor phase transition with the ground state. Interestingly, taking advantage of the Sturm-Liouville method first proposed by Siopsis and Therrien [56], Li studied the holographic insulator/superconductor phase transition analytically and obtained not only the ground state of the phase transition but also the first excited state in Ref.…”

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

“…In the new holographic p-wave model [9], the authors using charged complex vectors, which are also known as Proca fields, to extend the holographic p-wave superfluid model to more general values of the charge and the mass parameters. 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]36].…”