2014/01/15 by Alexander G. Abanov, Andrey Gromov · 2 citations
Mathematics · Physics and Astronomy · #Atomic and Subatomic Physics Research #Condensed matter physics #Electromagnetic field #Electron #Magnetic field #Physics #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Topological Materials and Phenomena #cond-mat.mes-hall #cond-mat.str-el #hep-th #math-ph #math.MP
paper · pdf · doi:10.1103/physrevb.90.014435
published as Phys. Rev. B 90, 014435 (2014) · 6 pages
arxiv created 2014/01/15 · openalex publication_date 2014/07/29 · arxiv updated 2014/08/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We compute electromagnetic, gravitational, and mixed linear response functions of two-dimensional free fermions in an external quantizing magnetic field at an integer filling factor. The results are presented in the form of the effective action and as an expansion of currents and stresses in wave vectors and frequencies of the probing electromagnetic and metric fields. In addition to the well-studied U(1) Chern-Simons and Wen-Zee terms we find a gravitational Chern-Simons term that controls the correction to the Hall viscosity due to the background curvature. We relate the coefficient in front of the term with the chiral central charge.