Gauge fields in graphene with nonuniform elastic deformations: A quantum field theory approach

Understand

We investigate the low energy continuum limit theory for electrons in a graphene sheet under strain.

• We use the quantum field theory in curved spaces to analyze the effect of the system deformations into an effective gauge field.
• We study both in-plane and out-of-plane deformations and obtain a closed expression for the effective gauge field due to arbitrary nonuniform sheet deformations.
• The obtained results reveal a remarkable relation between the local-pseudo magnetic field and the Riemann curvature, so far overlooked.