Vortex dynamics in two-dimensional supersolids

TL;DR

This paper models the dynamics of quantized vortices in a two-dimensional supersolid, deriving an effective action that reveals vortex inertial mass with a logarithmic frequency dependence and includes a Magnus force due to Berry phase effects.

Contribution

It introduces a theoretical framework for vortex dynamics in supersolids, incorporating coupling between superfluid and lattice phonons, and calculates vortex inertial mass and forces.

Findings

Vortex inertial mass exhibits logarithmic frequency dependence.

Magnus force arises from Berry phase in vortex motion.

Effective action captures coupling between superfluid and lattice phonons.

Abstract

We investigate the dynamics of quantized vortices in a model two-dimensional supersolid. Starting from an effective action that captures the dynamics of the superfluid condensate and its coupling to the lattice displacements, we integrate out the low-energy Goldstone modes-the phonons of the solid and the superfluid condensate-to arrive at an effective action for the vortices in the condensate. In the low-velocity limit we calculate the effective inertial mass for the vortices, and we find that the mass has a logarithmic frequency dependence, similar to the inertial mass found in superfluid vortices. The vortex dynamics also includes a Magnus force term in the equation of motion that arises from the Berry phase in the effective action.