Abstract
We investigate the holographic fermionic phase transition induced by the effective impurity in holography, which is introduced by massless scalar fields in Einstein-Maxwell-massless scalar gravity. We obtain a phase diagram in $(\alpha, T)$ plane separating the Fermi liquid phase and the non-Fermi liquid phase.
Highlights
Background geometry with scalar field sourcesWe combine the action of free massless scalars together with the Einstein-Maxwell action in d + 1 dimension [31], M R − Fμν F μν 1 2 d−1 (∂ΨI )2 I1 − 2κ2 ddx√−γ2K, ∂M (2.1)where Λ = −d(d − 1)/(2L2) and the field strength Fμν = ∂μAν − ∂νAμ for a U(1) gauge field
We investigate the holographic fermionic phase transition induced by the effective impurity in holography, which is introduced by massless scalar fields in EinsteinMaxwell-massless scalar gravity
We have explored the Fermi surface and the phase diagram (α, T ) in the holographic framework based on the free probe fermions in Einstein-Maxwell gravity with spacial dependent massless scalar field, which introduces a new impurity effects from holography in the dual field theory
Summary
We combine the action of free massless scalars together with the Einstein-Maxwell action in d + 1 dimension [31],. The equations of motions admit the following isotropic solution of various fields. We can see that due to the presence of the spatial dependence in the massless scalar field, the full solution is not isotropic and homogeneous, though the metric is isotropic. Note that the anisotropic solutions with only one scalar field has been studied in [40, 41]. Note that when α = 0, the solution goes back to the RN-AdS black hole dual to the field theory with translational invariance. For a given chemical potential and temperature, we can determine the value of α. This model can be seen as the case of the long wavelength limit of Q-lattice model [26]. It is more reasonable to treat α as impurity, as illustrated in [31, 36]
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
