# Oriented Active Solids

## TL;DR

This paper analyzes the linearized dynamics of active solids with orientational order, revealing conditions for stability, instabilities, and long-range order in different dimensions, advancing understanding of active matter physics.

## Contribution

It provides a comprehensive analysis of active solids with orientational order, including stability criteria and the effects of active forcing, considering rotation invariance.

## Key findings

- Stable active solids with quasi-long-range order in 2D
- Long-range order in 3D active solids
- Instability of the solid for one sign of active forcing

## Abstract

We present a complete analysis of the linearised dynamics of active solids with orientational order, taking into account a hitherto overlooked consequence of rotation invariance. Our predictions include the possibility of stable active solids with quasi-long-range order in two dimensions and long-range order in three dimensions, generic instability of the solid for one sign of active forcing, and the instability of the orientationally ordered phase in momentum-conserved systems for large active forcing irrespective of its sign.