Excitations in correlated superfluids near a continuous transition into a supersolid

TL;DR

This paper investigates how superfluid excitations evolve near a transition to a supersolid phase, revealing that superflow can induce supersolid order locally and analyzing tunneling states in correlated superconductors.

Contribution

It demonstrates that superflow can close the roton gap, leading to local supersolid order, and explores tunneling density of states near the phase transition in correlated superconductors.

Findings

Superflow can drive the roton gap to zero near the transition.

Supersolid order can form around vortex cores in superfluids.

Tunneling density of states shows signatures of the phase transition.

Abstract

We study a superfluid on a lattice close to a transition into a supersolid phase and show that a uniform superflow in the homogeneous superfluid can drive the roton gap to zero. This leads to supersolid order around the vortex core in the superfluid, with the size of the modulated pattern around the core being related to the bulk superfluid density and roton gap. We also study the electronic tunneling density of states for a uniform superconductor near a phase transition into a supersolid phase. Implications are considered for strongly correlated superconductors.