2006/07/31 by P. M. Hogan, A. G. Green · 3 citations
Materials Science · Mathematics · Physics and Astronomy · #Condensed matter physics #Conductivity #Critical exponent #Critical point (mathematics) #Electric field #Electrical resistivity and conductivity #Electron #Exponent #Magnetic field #Mathematics #Nonlinear system #Organic and Molecular Conductors Research #Phase transition #Physics #Physics of Superconductivity and Magnetism #Power law #Quantum #Quantum and electron transport phenomena #Quantum critical point #Quantum mechanics #Quantum phase transition #Thermal conductivity #Wiedemann–Franz law #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.78.195104
published as Phys. Rev. B 78, 195104 (2008) · 14 pages, 1 figure, REVTeX 4; v4 substantially reworked and expanded, with an explicit presentation of the technical details
arxiv created 2008/05/21 · openalex publication_date 2008/11/07 · arxiv updated 2009/12/01 · openalex created_date 2019/05/29 · openalex updated_date 2026/08/05
We study the conductivity in itinerant-electron systems near to a magnetic quantum critical point. We show that, for a class of geometries, the universal power-law dependence of resistivity upon temperature may be reflected in a universal nonlinear conductivity; when a strong electric field is applied, the resulting current has a universal power-law dependence upon the applied electric field. For a system with thermal-equilibrium current proportional to T^\ensuremathα and dynamical exponent z, we find a nonlinear resistivity proportional to E^(z\ensuremath-1)/[z(1+\ensuremathα)\ensuremath-1].