Towards a Holographic Realization of Homes' Law
Johanna Erdmenger, Patrick Kerner, Steffen Muller

TL;DR
This paper explores the holographic modeling of Homes' law in strongly correlated quantum systems, analyzing superconductor models to identify universal relations and progress towards a holographic realization of this law.
Contribution
It demonstrates the emergence of Homes' law in holographic superconductor models without backreaction and discusses future steps for more general holographic realizations.
Findings
Homes' law holds in holographic s-wave and p-wave superconductors without backreaction.
Progress made in understanding diffusive processes in holographic models.
Suggestions for extending the holographic realization of Homes' law with backreaction.
Abstract
Gauge/gravity duality has proved to be a very successful tool for describing strongly coupled systems in particle physics and heavy ion physics. The application of the gauge/gravity duality to quantum matter is a promising candidate to explain questions concerning non-zero temperature dynamics and transport coefficients. To a large extent, the success of applications of gauge/gravity duality to the quark-gluon plasma is founded on the derivation of a universal result, the famous ratio of shear viscosity and entropy density. As a base for applications to condensed matter physics, it is highly desirable to have a similar universal relation in this context as well. A candidate for such a universal law is given by Homes' law: High Tc superconductors, as well as some conventional superconductors, exhibit a universal scaling relation between the superfluid density at zero temperature and the…
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
