Homes' law in holographic superconductor with linear-$T$ resistivity

Abstract

Homes' law, ρ s = C σ DC T c , is a universal relation of superconductors between the superfluid density ρ s at zero temperature, the critical temperature T c and the electric DC conductivity σ DC at T c . Experimentally, Homes' law is observed in high T c superconductors with linear-T resistivity in the normal phase, giving a material independent universal constant C. By using holographic models related to the Gubser-Rocha model, we investigate how Homes' law can be realized together with linear-T resistivity in the presence of momentum relaxation. We find that strong momentum relaxation plays an important role to exhibit Homes' law with linear-T resistivity.

Holographic Supersolids

“…In this work, we combine the holographic superfluid model of [47] with the holographic solid model of [55] to build a holographic supersolid -a holographic system which breaks spontaneously translations together with a global U (1) symmetry. The combination of superfluidity with broken translations has been already discussed in the holographic literature [68][69][70][71][72][73][74][75][76][77][78][79] but always in the context of momentum dissipation, i.e. explicit breaking of translations.…”

Alternating current conductivity and superconducting properties of the holographic effective theory

“…The holographic superconductor models with momentum dissipation have also been constructed and studied [42][43][44][45][46][47][48][49]. In Ref.…”

“…In Ref. [46], a more phenomenologically relevant holographic superconducting model of momentum dissipation was constructed based on Gubser-Rocha model whose ground state entropy vanshes [50]. It was also shown that some universal properties of high T c superconductors, including linear-T resistivity near T c and Homes' law, are observed [46].…”

“…[46], a more phenomenologically relevant holographic superconducting model of momentum dissipation was constructed based on Gubser-Rocha model whose ground state entropy vanshes [50]. It was also shown that some universal properties of high T c superconductors, including linear-T resistivity near T c and Homes' law, are observed [46]. In addition, a superconducting dome-shaped region is implemented on the temperature-doping phase diagram in holographic axion superconductor proposed in [49].…”