2011/06/30 by A. Pérez Martínez, A. Pérez Martı́nez, E. Rodríguez Querts +7
Materials Science · Physics and Astronomy · #Graphene research and applications #Quantum and electron transport phenomena #Topological Materials and Phenomena #cond-mat.mes-hall #hep-ph
paper · pdf · doi:10.1088/1751-8113/44/44/445002
published as J. Phys. A: Math. Theor. 44, 445002, 2011 · 14 pages, 2 figures
arxiv created 2011/10/13 · openalex publication_date 2011/10/13 · arxiv updated 2011/10/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
Starting from the photon self-energy tensor in a magnetized medium, the 3D complete antisymmetric form of the conductivity tensor is found in the static limit of a fermion system C -non-invariant under fermion–antifermion exchange. The massless relativistic 2D fermion limit in QED is derived by using the compactification along the dimension parallel to the magnetic field. In the static limit and at zero temperature, the main features of the quantum Hall effect (QHE) are obtained: the half-integer QHE and the minimum value proportional to e 2 / h for the Hall conductivity. For typical values of graphene the plateaus of the Hall conductivity are also reproduced.