Holographic Lifshitz superconductors with Weyl correction

Abstract

At the probe approximation, we construct a holographic p-wave conductor/superconductor model in the five-dimensional Lifshitz black hole with the Weyl correction via both numerical and analytical methods, and study the effects of the Lifshitz parameter z as well as the Weyl parameter $$\gamma $$ γ on the superconductor model. As we take into account one of the two corrections separately, the increasing z ($$\gamma $$ γ ) inhibits(enhances) the superconductor phase transition. When the two corrections are considered comprehensively, they display the obviously competitive effects on both the critical temperature and the vector condensate. In particular, the promoting effects of the Weyl parameter $$\gamma $$ γ on the critical temperature are obviously suppressed by the increasing Lifshitz parameter. Meanwhile, in the case of $$z<2.35$$ z < 2.35 ($$z>2.35$$ z > 2.35 ), the condensate at lower temperature decreases(increases) with the increasing Weyl parameter $$\gamma $$ γ . What is more, the difference among the condensate with the fixed Weyl parameter($$\gamma =-\frac{6}{100},0,\frac{4}{100}$$ γ = - 6 100 , 0 , 4 100 ) decreases(increases) with the increasing Lifshitz parameter z in the region $$z<2.35$$ z < 2.35 ($$z>2.35$$ z > 2.35 ). Furthermore, the increasing z obviously suppresses the real part of conductivity for all value of the Weyl parameter $$\gamma $$ γ . In addition, the analytical results agree well with the ones from the numerical method.

New holographic Weyl superconductors in Lifshitz gravity

“…. Compared with the scaling dimension Δ ± in [58][59][60], here, Δ ± depends on both Lifshitz and Weyl parameters and thus suggests that the present model might display more interesting features. From the holographic dictionary, ψ 1 and ψ 2 are usually explained as the source and the vacuum expectation values of the dual operator Ĵx , respectively, while μ and ρ are respectively regarded as the chemical potential and the charge density of boundary field theory.…”

“…What is more, at the low temperature ( ) . Comparing the effects of the new Weyl coupling, CB 2 , with the one of the previous Weyl couplings, CF 2 , on the vector condensate, we find that the effect of the new coupling, CB 2 , is weaker than that of the old Weyl coupling CF 2 , [60] based on the left panel in figure 1. Furthermore, when γ = 0, the present model is the same as the one in [60] with a vanishing CF 2 correction and the model in [42] without an RF 2 correction.…”

“…However, the four derivative Weyl (CF 2 ) as well as the six derivative Weyl (C 2 F 2 ) corrections always promote both the swave and MCV p-wave conductor/superconductor models [57][58][59]. In addition, as one comprehensively takes into account the Lifshitz scaling and the Weyl correction in the MCV superconductor model, both corrections exhibit interesting competitive effects on the critical value and the condensate [60]. In fact, from the viewpoint of effective field theory, apart from the familiar Weyl correction CF 2 , there are also many other kinds of possible coupling form, such as the coupling † mn ab mn ab B C B , where the antisymmetric tensor B μν is made up of the MCV field ρ μ ; for details, see the next section.…”

“…For simplicity, we call this new Weyl correction CB 2 , to distinguish it from the previous Weyl correction CF 2 . Bearing in mind the interesting CF 2 Weyl effects as well as its competing effects on the Lifshitz scaling of the MCV superconductor [60], in this paper, we will systematically investigate how the CB 2 Weyl correction influences the MCV p-wave conductor (insulator)/superconductor models in the Lifshitz black hole (soliton) background. It follows that for some parameter spaces, the influences of the Weyl parameter and the Lifshitz parameter on the conductor/superconductor model are in contrast to their influences on the insulator/superconductor phase transition.…”

Investigation of $$\varXi _c^0$$ in a chiral quark model

“…In Ref. [11], the author performed a 3 P 0 model analysis which contain strong decay behaviors and suggested that the Ξ c (2923) 0 and Ξ c (2938) 0 might be 1P Ξ c states and Ξ c (2965) 0 can be 2S Ξ c states. In addition, lattice simulations also investigated these heavy flavored baryons [12][13][14].…”