Local quantum criticality out of equilibrium - effective temperatures and scaling in the steady state regime

Abstract

We study the out of equilibrium steady state properties of the Bose-Fermi-Kondo model, describing a local magnetic moment coupled to two ferromagnetic leads that support bosonic (magnons) and fermionic (Stoner continuum electrons) low energy excitations. This model describes the destruction of the Kondo effect as the coupling to the bosons is increased. Its phase diagram comprises three non-trivial fixed points. Using a dynamical large-$N$approach on the Keldysh contour, we study two different non-equilibrium setups: (a) a finite bias voltage and (b) a finite temperature gradient, imposed across the leads. The scaling behavior of the charge and energy currents is identified and characterized for all fixed points. We report the existence of a fixed-point-dependent effective temperature, defined though the fluctuation dissipation relations of the local spin-susceptibility in the scaling regime, which permits to recover the equilibrium behavior of both dynamical and static spin susceptibilities.

6 pages, 5 figures

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• Transport Across an Impurity in One Dimensional Quantum Liquids Far From Equilibrium
• Steady-state properties of a thermodynamically unbalanced Fermi gas
• Nonlinear Transport in a Two Dimensional Holographic Superconductor
• Steady-state dynamics and effective temperatures of quantum criticality in an open system
• Mott insulator breakdown through pattern formation
• Mixed-order symmetry-breaking quantum phase transition far from equilibrium
• Non-equilibrium conductivity at quantum critical points
• Non-linear quantum critical dynamics and fluctuation-dissipation ratios far from equilibrium