Elementary excitations, Spectral weights and Experimental signatures in a Supersolid and a Fulde - Ferrell-Larkin-Ovchinnikov state

TL;DR

This paper develops a Ginzburg-Landau theory to explore phase transitions and excitations in supersolid and FFLO states, providing a unified framework for understanding their spectral and experimental signatures.

Contribution

It introduces a novel Ginzburg-Landau model that simultaneously treats solid and superfluid orders, elucidating conditions for supersolid phases and their transitions.

Findings

Derived conditions for supersolid existence

Analyzed spectral weights and excitations

Predicted experimental signatures of supersolids

Abstract

We construct a Ginsburg Landau (GL) theory to study the phases of liquid, solid, superfluid, especially a possible supersolid and phase transitions among these phases in a unified framework. In this GL, we put the two competing orders between the solid component and the superfluid component on the same footing. We only introduce two parameters: $ v $ which is the repulsive interaction between the normal component and the local superfluid mode and $ g $ which is a periodically changing chemical potential for the local superfluid mode. The microscopic origins of $ v $ and $ g $ are given. By using this GL action, we study the superfluid to supersolid transition, normal solid to the supersolid transition and analyze the conditions for the existence of the supersolid.