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

Abstract

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 $E^{\frac{z-1}{z(1+\alpha )-1}}$.

arXiv comment14 pages, 1 figure, REVTeX 4; v4 substantially reworked and expanded, with an explicit presentation of the technical details

References in corpus (10)

• Continuous Quantum Phase Transitions
• Quantum criticality
• Non-zero temperature transport near quantum critical points
• Interplay of disorder and spin fluctuations in the resistivity near a quantum critical point
• Quantum critical behavior in itinerant electron systems -- Eliashberg theory and instability of a ferromagnetic quantum-critical point
• Nonequilibrium quantum criticality in open electronic systems
• Ground-State Decay Rate for the Zener Breakdown in Band and Mott Insulators
• Breakdown of weak-field magnetotransport at a metallic quantum critical point
• Nonlinear Transport Near a Quantum Phase Transition in Two Dimensions
• Current fluctuations near to the 2D superconductor-insulator quantum critical point

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• Nonequilibrium quantum criticality in bilayer itinerant ferromagnets
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• Demystifying the Holographic Mystique
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