Theory of Twisted Bilayer Graphene Near Commensuration

Understand

Incommensurately twisted graphene bilayers are described by long-wavelength theories, but to date such theories exist only at small angles of interlayer rotation.

• We construct a long wavelength theory without such a restriction, instead requiring nearness to commensuration.
• The theory inherits its energy scale from the exactly commensurate bilayer that it is close to.
• It is a spatial interpolation between the low-energy theories of commensurate structures with the two possible sublattice exchange (SE) symmetries: SE even and SE odd.