Quantum Critical Scaling in Graphene

2007/07/31 by Daniel E. Sheehy, Jörg Schmalian, Joerg Schmalian · 11 citations
Materials Science · Physics and Astronomy · #Carbon Nanotubes in Composites #Charge (physics) #Condensed matter physics #Coulomb #Critical point (mathematics) #Diamagnetism #Electron #Graphene #Graphene research and applications #Magnetic field #Observable #Physics #Quantum #Quantum and electron transport phenomena #Quantum critical point #Quantum mechanics #Quantum phase transition #Scaling #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevlett.99.226803

published as Phys. Rev. Lett. 99, 226803 (2007) · 4 pages, 2 figures. Published version

arxiv created 2007/11/30 · openalex publication_date 2007/11/30 · arxiv updated 2015/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We show that the emergent relativistic symmetry of electrons in graphene near its quantum critical point (QCP) implies a crucial importance of the Coulomb interaction. We derive scaling laws, valid near the QCP, that dictate the nontrivial magnetic and charge response of interacting graphene. Our analysis yields numerous predictions for how the Coulomb interaction will be manifested in experimental observables such as the diamagnetic response and electronic compressibility.

Citations

• Electric Field Effect in Atomically Thin Carbon Films
• Diamagnetism of nodal fermions
• Thermodynamic spin magnetization of strongly correlated two-dimensional electrons in a silicon inversion layer

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