Department of Physics Papers

Document Type

Journal Article

Date of this Version

4-12-2010

Abstract

The low-energy electronic spectra of rotationally faulted graphene bilayers are studied using a longwavelength theory applicable to general commensurate fault angles. Lattice commensuration requires lowenergy electronic coherence across a fault and pre-empts massless Dirac behavior near the neutrality point. Sublattice exchange symmetry distinguishes two families of commensurate faults that have distinct low-energy spectra which can be interpreted as energy-renormalized forms of the spectra for the limiting Bernal and AA stacked structures. Sublattice-symmetric faults are generically fully gapped systems due to a pseudospin-orbit coupling appearing in their effective low-energy Hamiltonians.

Comments

Suggested Citation:
Mele, E.J. (2010). "Commensuration and interlayer coherence in twisted bilayer graphene." Physical Review B. 81, 161405(R).

© The American Physical Society
http://dx.doi.org/10.1103/PhysRevB.81.161405

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Date Posted: 04 November 2010

This document has been peer reviewed.