Many-body wavefunctions for quantum impurities out of equilibrium. I. The nonequilibrium Kondo model

Adrian B. Culver, Natan Andrei

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3 Scopus citations


We present here the details of a method [A. B. Culver and N. Andrei, Many-body wavefunctions for quantum impurities out of equilibrium, Phys. Rev. B 103, L201103 (2021)10.1103/PhysRevB.103.L201103] for calculating the time-dependent many-body wavefunction that follows a local quench. We apply the method to the voltage-driven nonequilibrium Kondo model to find the exact time-evolving wavefunction following a quench where the dot is suddenly attached to the leads at t=0. The method, which does not use Bethe ansatz, also works in other quantum impurity models and may be of wider applicability. We show that the long-time limit (with the system size taken to infinity first) of the time-evolving wavefunction of the Kondo model is a current-carrying nonequilibrium steady state that satisfies the Lippmann-Schwinger equation. We show that the electric current in the time-evolving wavefunction is given by a series expression that can be expanded either in weak coupling or in strong coupling, converging to all orders in the steady-state limit in either case. The series agrees to leading order with known results in the well-studied regime of weak antiferromagnetic coupling and also reveals a universal regime of strong ferromagnetic coupling with Kondo temperature TK(F)=De-3π28ρ|J| (J<0, ρ|J|→ ∞). In this regime, the differential conductance dI/dV reaches the unitarity limit 2e2/h asymptotically at large voltage or temperature.

Original languageEnglish (US)
Article number195106
JournalPhysical Review B
Issue number19
StatePublished - May 4 2021
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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