Consistent bosonization-debosonization I: A resolution of the non-equilibrium transport puzzle

Abstract

We critically reexamine the bosonization-debosonization procedure for systems including certain types of localized features (although more general scenarios are possible). By focusing on the case of a tunneling junction out of equilibrium, we show that the conventional approach gives results that are not consistent with the exact solution of the problem even at the qualitative level. We identify inconsistencies that can adversely affect the results of all types of calculations. We subsequently show a way to avoid these and proceed consistently. The extended framework we develop here should be widely applicable.

16 pages, 3 figures, 1 table

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Cited by in corpus (10)

• Solving quantum impurity problems in and out of equilibrium with variational approach
• Consistent bosonization-debosonization II: The two-lead Kondo problem and the fate of its non-equilibrium Toulouse point
• 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
• 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
• Systematic compactification of the two-channel Kondo model. II. Comparative study of scaling and universality
• Systematic compactification of the two-channel Kondo model. I. Consistent bosonization-debosonization approach and exact comparisons
• Non-Markovian transients in transport across chiral quantum wires using space-time non-equilibrium Green functions
• Bosonization solution of the Kondo lattice in a Luttinger liquid