Universal non-linear conductivity near to an itinerant-electron ferromagnetic quantum critical point

Details Universal non-linear conductivity near to an itinerant-electron ferromagnetic quantum critical point Universal non-linear conductivity near to an itinerant-electron ferromagnetic quantum critical point

2006-07-20

arxiv.org/abs/cond-mat/0607522v4

Phys. Rev. B 78, 195104 (2008)

Physics

Condensed Matter

Strongly Correlated Electrons

14 pages, 1 figure, REVTeX 4; v4 substantially reworked and expanded, with an explicit presentation of the technical details

Scientific paper

10.1103/PhysRevB.78.195104

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 non-linear 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 $T^\alpha$ and dynamical exponent $z$, we find a non-linear resistivity proportional to $E^{\frac{z-1}{z(1+\alpha)-1}}$.

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