Abstract
We comment on a simple way to accommodate translational symmetry breaking into the recently proposed holographic model which features a superconducting dome-shaped region on the temperature-doping phase diagram.
Highlights
Translational symmetry breaking mechanisms in holographic models have recently received plenty of attention in the literature, in order to mimic more realistic condensed matter situations
We comment on a simple way to accommodate translational symmetry breaking into the recently proposed holographic model which features a superconducting domeshaped region on the temperature-doping phase diagram
Our results prove that the superconducting dome of [3] continues to exist once the translational symmetry has been broken
Summary
We set up the holographic system which we will be studying in this paper. We consider the following bulk degrees of freedom: the metric gμν, two U(1) gauge fields Aμ, Bμ, the complex scalar field ψ, and two neutral scalars φI , I = x, y. The vacuum expectation value of the condensate is the order parameter for the superconducting phase transition and it is described holographically via the complex scalar field, ψ. The latter is charged w.r.t. the U(1)A gauge field [1, 2]. Following [3] in this paper we fix the scaling dimension to be ∆ = 5/2
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