Real-time renormalization group and cutoff scales in nonequilibrium applied to an arbitrary quantum dot in the Coulomb blockade regime

Abstract

We apply the real-time renormalization group (RG) in nonequilibrium to an arbitrary quantum dot in the Coulomb blockade regime. Within one-loop RG-equations, we include self-consistently the kernel governing the dynamics of the reduced density matrix of the dot. As a result, we find that relaxation and dephasing rates generically cut off the RG flow. In addition, we include all other cutoff scales defined by temperature, energy excitations, frequency, and voltage. We apply the formalism to transport through single molecular magnets, realized by the fully anisotropic Kondo model (with three different exchange couplings J_x, J_y, and J_z) in a magnetic field h_z. We calculate the differential conductance as function of bias voltage V and discuss a quantum phase transition which can be tuned by changing the sign of J_x J_y J_z via the anisotropy parameters. Finally, we calculate the noise S(Omega) at finite frequency Omega for the isotropic Kondo model and find that the dephasing rate determines the height of the shoulders in dS(Ω)/d Omega near Omega=V.

16 pages, 7 figures

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• Nonequilibrium Kondo transport through a quantum dot in a magnetic field
• Magnetic field effects on the finite-frequency noise and ac conductance of a Kondo quantum dot out of equilibrium
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• Non-equilibrium quantum transport through a dissipative resonant level
• Transport properties of fully screened Kondo models
• Self-consistent electron counting statistics
• Renormalization-group analysis of a spin-1 Kondo dot: Non-equilibrium transport and relaxation dynamics
• The generic fixed point model for pseudo-spin-1/2 quantum dots in nonequilibrium: Spin-valve systems with compensating spin polarizations
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• Non-equilibrium Scaling Properties of a Double Quantum Dot System: Comparison between Perturbative Renormalization Group and Flow Equation Approach
• Number-resolved master equation approach to quantum transport under the self-consistent Born approximation
• Nonequilibrium shot noise spectrum through a quantum dot in the Kondo regime: A master equation approach under self-consistent Born approximation
• Functional Renormalization Analytically Continued