# Symmetry breaking and lattice kirigami: finite temperature effects

## TL;DR

This paper explores how finite temperature influences the effects of defects in a hexagonal lattice, affecting the order parameter and the interplay of curvature and gauge fields in lattice kirigami.

## Contribution

It extends previous models of lattice kirigami to incorporate finite temperature effects, providing a more comprehensive understanding of defect-induced phenomena.

## Key findings

- Finite temperature modifies the order parameter near defects.
- Curvature and gauge fields interplay differently at finite temperatures.
- The formalism now accounts for thermal effects in lattice deformations.

## Abstract

Recent work has analysed how deformations due to the insertion of a defect in a flat hexagonal lattice affect the ground state structure of an interacting fermion field theory. Such modifications result in an increase of the order parameter in the vicinity of the defect and can be explained by a kirigami effect, that is the combined effect of the curvature, locally introduced by the deformation in the lattice tessellation, and of a synthetic gauge field induced by the boundary conditions along the cut, performed to introduce the defect. In this work, we extend the formalism and previous results to include finite temperature effects.