Abstract
Chirally stacked -layer graphene systems with exhibit a variety of distinct broken symmetry states in which charge density contributions from different spins and valleys are spontaneously transferred between layers. We explain how these states are distinguished by their charge, spin, and valley Hall conductivities, by their orbital magnetizations, and by their edge state properties. We argue that valley Hall states have [] edge channels per spin valley.
- Received 19 October 2010
DOI:https://doi.org/10.1103/PhysRevLett.106.156801
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