Is the supersolid superfluid

TL;DR

This paper analyzes theories of supersolidity in quantum solids, proposing a new theory based on an additional conservation law, and discusses how supersolid properties depend on quasiparticle dispersion relations and temperature.

Contribution

It introduces a novel theory of supersolidity involving an extra conservation law and examines how dispersion relations influence supersolid behavior at low temperatures.

Findings

Supersolid properties diminish when the quasiparticle dispersion is parabolic.

The proposed theory links supersolidity to an additional conservation law.

Supersolid phenomena are less pronounced at low temperatures due to dispersion effects.

Abstract

An analysis of previous theories of superfluidity of quantum solids is presented in relation to the nonclassical rotational moment of inertia (NCRM) found first in Kim and Chan experiments. A theory of supersolidity is proposed based on the presence of an additional conservation law. It is shown that the additional entropy or mass fluxes depend on the quasiparticle dispersion relation and vanish in the effective mass approximation. This implies that at low temperatures when the parabolic part of the dispersion relation predominates the supersolid properties should be less expressed.