Emergent Horava gravity in graphene

Understand

First of all, we reconsider the tight - binding model of monolayer graphene, in which the variations of the hopping parameters are allowed.

• We demonstrate that the emergent 2D Weitzenbock geometry as well as the emergent U(1) gauge field appear.
• The emergent gauge field is equal to the linear combination of the components of the zweibein.
• Therefore, we actually deal with the gauge fixed version of the emergent 2+1 D teleparallel gravity.