Density Waves and Cooper Pairing on the Honeycomb Lattice

2007/11/08 by Carsten Honerkamp · 275 citations
Materials Science · Physics and Astronomy · #Antiferromagnetism #Charge density wave #Condensed matter physics #Electron #Ga2O3 and related materials #Graphene #Graphene research and applications #Lattice (music) #Pairing #Physics #Quantum mechanics #Renormalization #Singlet state #Superconductivity #Topological Materials and Phenomena #cond-mat.str-el #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevlett.100.146404

published in Physical Review Letters 100(14), 146404 (American Physical Society) · 4 pages, 3 figures

arxiv created 2007/11/08 · openalex publication_date 2008/04/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

Motivated by the surge in research activities on graphene, we investigate instabilities of electrons on the honeycomb lattice, interacting by onsite and nearest-neighbor terms, using a renormalization group scheme. Near half band filling, critical minimal interaction strengths are required for instabilities toward antiferromagnetic or charge-density-wave order. Away from half-filling, f-wave triplet-pairing and d + id singlet-pairing instabilities are found to emerge out of density-wave regimes.

Citations

• Electron-Phonon Interaction Close to a Mott Transition
• Specular Andreev Reflection in Graphene
• Instabilities of interacting electrons on the triangular lattice
• Substrate-induced bandgap opening in epitaxial graphene
• Two-dimensional atomic crystals

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• Influence of hopping self-energy effects and quasiparticle degradation on the antiferromagnetic ordering in the bilayer honeycomb Hubbard model
• Cluster dynamical mean field theory of quantum phases on a honeycomb lattice
• Critical chiral Heisenberg model with the functional renormalization group
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