Consistent bosonization-debosonization II: The two-lead Kondo problem and the fate of its non-equilibrium Toulouse point

Abstract

Following the development of a scheme to bosonize and debosonize consistently [N. Shah and C.J. Bolech, Phys. Rev B 93, 085440 (2016); arXiv:1508.03078], we present in detail the Toulouse-point analytic solution of the two-lead Kondo junction model. The existence and location of the solvable point is not modified, but the calculational methodology and the final expressions for observable quantities change markedly as compared to the existent results. This solvable point is one of the remarkably few exact results for non-equilibrium transport in correlated systems. It yields relatively simple analytical expressions for the current in the full range of temperature, magnetic field and voltage. It also shows precisely, within the limitations of the Toulouse fine-tuning, how the transport evolves depending on the relative strengths of inter-lead and intra-lead Kondo exchange couplings ranging from weak to strong. Thus its improved understanding is an important stepping stone for future research.

15 pages, 6 figures

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• Consistent bosonization-debosonization I: A resolution of the non-equilibrium transport puzzle
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• Ultrafast molecular dynamics in terahertz-STM experiments: Theoretical analysis using Anderson-Holstein model
• Tunneling into quantum wires: regularization of the tunneling Hamiltonian and consistency between free and bosonized fermions
• Nonequilibrium Quantum Critical Steady State: Transport Through a Dissipative Resonant Level
• Transport through a magnetic impurity: a slave-spin approach
• Systematic compactification of the two-channel Kondo model. I. Consistent bosonization-debosonization approach and exact comparisons
• Conductance of a Dissipative Quantum Dot: Nonequilibrium Crossover Near a Non-Fermi-Liquid Quantum Critical Point
• Systematic compactification of the two-channel Kondo model. III. Extended field-theoretic renormalization group analysis
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• Universal Non-equilibrium I-V Curve Near Two-channel Kondo-Luttinger Quantum Critical Point
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