# Deformation induced pseudo-magnetic fields in complex carbon architectures

## TL;DR

This paper demonstrates that complex carbon architectures like graphyne exhibit deformation physics similar to graphene, with emergent Dirac-Weyl equations and strain-induced fields, extending known phenomena to new materials.

## Contribution

The authors develop two continuum theories for deformation in complex graphyne structures, showing their low-energy physics closely resembles that of graphene.

## Key findings

- Deformation induces pseudo-magnetic fields in complex graphyne structures.
- The low-energy physics of graphyne is described by an emergent Dirac-Weyl equation.
- Key phenomena like pseudospin polarization and valley currents are present in these materials.

## Abstract

We show that the physics of deformation in $\alpha$-, $\beta$-, and $6,6,12$-graphyne is, despite their significantly more complex lattice structures, remarkably close to that of graphene, with inhomogeneously strained graphyne described at low energies by an emergent Dirac-Weyl equation augmented by strain induced electric and pseudo-magnetic fields. To show this we develop two continuum theories of deformation in these materials: one that describes the low energy degrees of freedom of the conical intersection, and is spinor valued as in graphene, and one describing the full sub-lattice space. The spinor valued continuum theory agrees very well with the full continuum theory at low energies, showing that the remarkable physics of deformation in graphene generalizes to these more complex carbon architectures. In particular, we find that deformation induced pseudospin polarization and valley current loops, key phenomena in the deformation physics of graphene, both have their counterpart in these more complex carbon materials.