Analytical study of holographic p-wave superfluid models in Gauss–Bonnet gravity

Abstract

In Gauss-Bonnet gravity, we analytically investigate the p-wave superfluid models in five dimensional AdS soliton and AdS black hole in order to explore the influences of the higher curvature correction on the holographic superfluid phase transition. We observe that the analytical findings are in good agreement with the numerical computations. Our results show that the critical chemical potential of the system increases with the increase of the Gauss-Bonnet parameter in AdS soliton background, while the critical temperature decreases as the Gauss-Bonnet factor grows if the phase transition of the system is of the second order in AdS black hole background, both of which indicate that the higher curvature correction hinders the formation of the condensation of the vector operator. Moreover, the critical exponent of the system takes the mean-field value 1/2, which is independent of the Gauss-Bonnet parameter and the spatial component of the gauge field.

Holographic superconductors in 4D Einstein-Gauss-Bonnet gravity with backreactions

“…Taking the backreaction of the matter fields into account in the (3 + 1)-dimensional Gauss-Bonnet superconductors, it was found that the critical temperature first decreases then increases as the Gauss-Bonnet term tends towards the Chern-Simons value in a backreaction dependent fashion but the effect of both backreaction and higher curvature is to increase the gap ratio ω g /T c [17,18]. Further investigations on the holographic dual models based on the Einstein-Gauss-Bonnet gravity in dimensions D ≥ 5 have been carried out, including the s-wave [19][20][21][22][23][24][25][26][27][28][29], p-wave [30][31][32][33][34][35], s+p [36] models and color superconductivity in quantum chromodynamics (QCD) [37]. However, since it was believed that the Gauss-Bonnet term does not contribute to the gravitational dynamics in four dimensions, the study on the (2 + 1)-dimensional Gauss-Bonnet superconductors is called for.…”

Holographic insulator/superconductor phase transitions with excited states

“…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.…”