Pseudospin order in monolayer, bilayer and double-layer graphene

2011/09/30 by Allan H. MacDonald, A. H. MacDonald, Jeil Jung +1 · 1 citation
Chemistry · Materials Science · Physics and Astronomy · #2D Materials and Applications #Antiferromagnetism #Bilayer #Bilayer graphene #Chemistry #Condensed matter physics #Exciton #Gapless playback #Graphene #Graphene research and applications #Materials science #Monolayer #Nanotechnology #Physics #Position and momentum space #Quantum mechanics #Semiconductor #Topological Materials and Phenomena #cond-mat.mes-hall

paper · pdf · doi:10.1088/0031-8949/2012/t146/014012

published as Phys. Scr. 2012 014012, (2012) · 20 pages 4 figures. Contribution for the Proceedings of the Nobel Symposium on Graphene. Updated references

openalex publication_date 2012/01/01 · arxiv created 2012/01/18 · arxiv updated 2012/02/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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, which are momentum space analogues 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.

Citations

• Many-body instability of Coulomb interacting bilayer graphene: Renormalization group approach
• Distinguishing Spontaneous Quantum Hall States in Bilayer Graphene
• Dynamical Screening and Excitonic Instability in Bilayer Graphene
• Plasmons and the spectral function of graphene
• Enhancement of nonlocal exchange near isolated band crossings in graphene
• Spontaneous Quantum Hall States in Chirally Stacked Few-Layer Graphene Systems
• Marginal-Fermi-liquid behavior from two-dimensional Coulomb interaction
• Chiral decomposition in the electronic structure of graphene multilayers
• Quantized Hall Conductance in a Two-Dimensional Periodic Potential
• Density Waves and Cooper Pairing on the Honeycomb Lattice
• Interaction-Driven Spectrum Reconstruction in Bilayer Graphene
• Bose–Einstein condensation of excitons in bilayer electron systems
• The electronic properties of graphene
• Room-temperature superfluidity in graphene bilayers
• Berry phase effects on electronic properties
• Electronic Structure of Multilayer Graphene

Cited by

• Tuning Anti-Klein to Klein Tunneling in Bilayer Graphene