2001/07/20 by Jean Alexandre, J. Alexandre, K. Farakos +3
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum, superfluid, helium dynamics #cond-mat.str-el #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.64.125007
published as Phys.Rev. D64 (2001) 125007 · 22 pages latex, one eps figure incorporated
arxiv created 2001/07/20 · openalex publication_date 2001/11/27 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We consider magnetic catalysis in a field-theoretic system of (3+1)-dimensional Dirac fermions with anisotropic kinetic term. By placing the system in a strong external magnetic field, we examine magnetically-induced fermion mass generation. When the coupling anisotropy is strong, in which case the fermions effectively localize on the plane, we find a significant enhancement of the induced mass gap compared to the isotropic four-dimensional case of quantum electrodynamics. As expected on purely dimensional grounds, the mass and critical temperature scale with the square root of the magnetic field. This phenomenon might be related to recent experimental findings on magnetically-induced gaps at the nodes of d-wave superconducting gaps in high-temperature cuprates.