2013/09/30 by E. C. Marino, Leandro O. Nascimento, Van Sérgio Alves +2 · 2 citations
Materials Science · Physics and Astronomy · #Condensed matter physics #Conductivity #Eigenvalues and eigenvectors #Electron #Graphene #Graphene research and applications #Kubo formula #Landau quantization #Physics #Quantum #Quantum Hall effect #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum mechanics #Topological Materials and Phenomena #cond-mat.str-el
paper · pdf · doi:10.1103/physrevx.5.011040
published as Phys. Rev. X 5, 011040 (2015) · 5 pages + supplemental material
arxiv created 2014/05/21 · openalex publication_date 2015/03/31 · arxiv updated 2015/04/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We use pseudo-quantum electrodynamics in order to describe the full electromagnetic interaction of the p electrons in graphene in a consistent 2D formulation. We first consider the effect of this interaction in the vacuum polarization tensor or, equivalently, in the current correlator. This allows us to obtain the T 0 conductivity after a smooth zero-frequency limit is taken in Kubo's formula. Thereby, we obtain the usual expression for the minimal conductivity plus corrections due to the interaction that bring it closer to the experimental value. We then predict the onset of an interaction-driven spontaneous quantum valley Hall effect below an activation temperature of the order of 2 K. The transverse (Hall) valley conductivity is evaluated exactly and shown to coincide with the one in the usual quantum Hall effect. Finally, by considering the effects of pseudo-quantum electrodynamics, we show that the electron self-energy is such that a set of P-and T-symmetric gapped electron energy eigenstates are dynamically generated, in association with the quantum valley Hall effect.