Nonclassical rotational inertia for a supersolid under rotation

TL;DR

This paper demonstrates that a quantum crystal model exhibits Non Classical Rotational Inertia (NCRI), providing theoretical proof and estimates for supersolidity based on ground state analysis and sphere packing problems.

Contribution

It offers the first theoretical proof of NCRI in a quantum crystal model, linking ground state properties to supersolidity.

Findings

NCRI occurs in the model analyzed.

Derived a theoretical formula for inertia momentum.

Provided a lower estimate for the NCRI fraction.

Abstract

As proposed by Leggett [4], the supersolidity of a crystal is characterized by the Non Classical Rotational Inertia (NCRI) property. Using a model of quantum crystal introduced by Josserand, Pomeau and Rica [5], we prove that NCRI occurs. This is done by analyzing the ground state of the aforementioned model, which is related to a sphere packing problem, and then deriving a theoretical formula for the inertia momentum. We infer a lower estimate for the NCRI fraction, which is a landmark of supersolidity.