Holographic Supersolids

TL;DR

This paper develops a holographic model for supersolids, exploring their thermodynamic and mechanical properties, and finds universal correlations between critical temperature, condensate, shear modulus, and viscosity.

Contribution

It introduces a novel holographic bottom-up model for supersolids and analyzes their phase diagram and physical properties.

Findings

Critical temperature and condensate behavior across phases

Shear modulus and viscosity variations

Universal correlations between physical observables

Abstract

A supersolid is a system that presents long-range order and shear rigidity as a solid but which also supports a non-dissipative superflow as a superfluid. From an effective perspective, supersolids are identified with phases of matter that break spontaneously translational invariance together with a global $U(1)$ symmetry. By using this symmetry prescription, we build a holographic bottom-up model for supersolids and we start the investigation of its thermodynamic and mechanical properties. More precisely, we analyze the behaviour of the critical temperature, the condensate, the shear modulus and the viscosity across all the phase diagram. Finally, we successfully compare our results with a simple Ginzburg-Landau model for supersolids deriving some universal physical correlations between the observables mentioned above.