Many-body wavefunctions for quantum impurities out of equilibrium. I. The nonequilibrium Kondo model
نویسندگان
چکیده
We present here the details of a method [A. B. Culver and N. Andrei, Many-body wavefunctions for quantum impurities out equilibrium, Phys. Rev. B 103, L201103 (2021)] calculating time-dependent many-body wavefunction that follows local quench. apply to voltage-driven nonequilibrium Kondo model find exact time-evolving following quench where dot is suddenly attached leads at $t=0$. The method, which does not use Bethe ansatz, also works in other impurity models may be wider applicability. show long-time limit (with system size taken infinity first) current-carrying steady state satisfies Lippmann-Schwinger equation. electric current given by series expression can expanded either weak coupling or strong coupling, converging all orders steady-state case. agrees leading order with known results well-studied regime antiferromagnetic reveals universal ferromagnetic temperature ${T}_{K}^{(F)}=D{e}^{\ensuremath{-}\frac{3{\ensuremath{\pi}}^{2}}{8}\ensuremath{\rho}|J|}$ ($J<0, \ensuremath{\rho}|J|\ensuremath{\rightarrow}\ensuremath{\infty}$). In this regime, differential conductance $dI/dV$ reaches unitarity $2{e}^{2}/h$ asymptotically large voltage temperature.
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ژورنال
عنوان ژورنال: Physical Review B
سال: 2021
ISSN: ['1098-0121', '1550-235X', '1538-4489']
DOI: https://doi.org/10.1103/physrevb.103.195106