Competition between the s-wave and p-wave superconductivity phases in a holographic model

Abstract

We build a holographic superconductor model with a scalar triplet charged under an SU(2) gauge field in the bulk. In this model, the s-wave and p-wave condensates can be consistently realized. We find that there are totally four phases in this model, namely, the normal phase without any condensate, s-wave phase, p-wave phase and the s+p coexisting phase. By calculating Gibbs free energy, the s+p coexisting phase turns out to be thermodynamically favored once it can appear. The phase diagram with the dimension of the scalar operator and temperature is drawn. The temperature range for the s+p coexisting phase is very narrow, which shows the competition between the s-wave and p-wave orders in the superconductor model.

Holographic competition of phases and superconductivity

“…Nevertheless, we can obtain some intuition by comparing the effective mass squared for each broken phase on the AdS 2 background. From figure 24 one can see that at small doping region on the far left, the effective mass squared of the AF phase (orange line) is much smaller than the one of striped phase (blue line), which suggests that the mode of antiferromagnetism around the ground state of the normal phase is much more unstable and thus the AF phase would first develop and dominate the phase diagram at least when 23 The coexisting phase would be thermodynamically stable or unstable, depending on the nonlinear details of the theory [80][81][82][83][84][85]. In principle, we can add higher order corrections to the theory without changing our perturbative analysis, but the thermodynamics (free energy) of the coexisting phase can change significantly.…”

Coexistence of two vector order parameters: a holographic model for ferromagnetic superconductivity

“…In the former group, besides the p-wave superconductors, we can also find models describing d-wave order parameters [9]. In the latter class we find either models describing multiband superconductors [10,11] or models which investigate the coexistence of different orderings [15][16][17][18][19]. 1 …”

Polarized solutions and Fermi surfaces in holographic Bose-Fermi systems

“…At the macroscopic level, this system too may arise from a Yukawa interaction of a scalar whose charge is twice that of the elementary fermions. 1 For other examples of competing orders in holography see [9][10][11][12][13][14][15][16]. Figure 1.…”

“…One can equivalently work with the charge density σ = q f n (A. 13) and the chemical potential for charge density…”