Pseudospin Order in Monolayer, Bilayer, and Double-Layer Graphene

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

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20 pages 4 figures. Contribution for the Proceedings of the Nobel Symposium on Graphene. Updated references

Scientific paper

10.1088/0031-8949/2012/T146/0140

Graphene is a gapless semiconductor in which conduction and valence band wavefunctions differ only in the phase difference between their projections onto the two sublattices of the material's two-dimensional honeycomb crystal structure. We explain why this circumstance creates openings for broken symmetry states, including antiferromagnetic states in monolayer and bilayer graphene and exciton condensates in double-layer graphene, that are momentum space analogs of the real-space order common in systems with strong local interactions. We discuss some similarities among, and some differences between, these three broken symmetry states.

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