Momentum dissipation and holographic transport without self-duality

• Main Authors: Jian-Pin Wu, Xiao-Mei Kuang, Guoyang Fu
• Format: Article
• Language: English
• Published: SpringerOpen 2018-08-01
• Series: European Physical Journal C: Particles and Fields
• Online Access: http://link.springer.com/article/10.1140/epjc/s10052-018-6100-x

Abstract We explore the response of the momentum dissipation introduced by spatial linear axionic fields in a holographic model without self-duality, which is broke by Weyl tensor coupling to Maxwell field. It is found that for the positive Weyl coupling parameter $$\gamma >0$$ γ>0 , the momentum dissipation, characterized by parameter $${\hat{\alpha }}$$ α^ , drives an incoherent metallic state with a peak at low frequency into another incoherent metallic phase with a dip. While for $$\gamma <0$$ γ<0 , an oppositive scenario is observed. Another interesting feature in our model is that for some observables including the DC conductivity, diffusion constant and susceptibility, there exists a certain value of $${\hat{\alpha }}$$ α^ , for which these observables are independent of $$\gamma $$ γ . Finally, the electromagnetic (EM) duality is also studied and there is also a specific value of $${\hat{\alpha }}$$ α^ , for which the particle-vortex duality related by the change of the sign of $$\gamma $$ γ in the boundary theory holds better than for other values of $${\hat{\alpha }}$$ α^ .