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Main Author: Han, Jong E.
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2503.14400
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author Han, Jong E.
author_facet Han, Jong E.
contents Numerical renormalization group (NRG) is formulated for nonequilibrium steady-state by converting finite-lattice many-body eigenstates into scattering states. Extension of the full-density-matrix NRG for a biased Anderson impurity model, simplified by formulating with the original orbital basis as the Hamiltonian, enables detailed studies of the sub-Kondo spectral evolution in the zero-temperature limit, confirming the double-resonance structure at bias of the Kondo energy scale $T_K$. The distribution shows distinct multi-scale spectral features at energy $ω$ below the Kondo scale ($ω\lesssim T_K$) and near the bias ($ω\gtrsim V$), leading to the nonequilibrium temperature $T_{\rm loc}$ local to the Kondo dot scaling as $k_BT_{\rm loc}\approx V$ for $V\gg T_K$. The current-voltage relation in the low-temperature limit ($T\ll T_K$) deviates from the unitary limit as the bias exceeds the Kondo scale ($V/2\gtrsim T_K$) and reaches the current saturation regime.
format Preprint
id arxiv_https___arxiv_org_abs_2503_14400
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Nonequilibrium Statistics of Biased Kondo Resonance
Han, Jong E.
Strongly Correlated Electrons
Numerical renormalization group (NRG) is formulated for nonequilibrium steady-state by converting finite-lattice many-body eigenstates into scattering states. Extension of the full-density-matrix NRG for a biased Anderson impurity model, simplified by formulating with the original orbital basis as the Hamiltonian, enables detailed studies of the sub-Kondo spectral evolution in the zero-temperature limit, confirming the double-resonance structure at bias of the Kondo energy scale $T_K$. The distribution shows distinct multi-scale spectral features at energy $ω$ below the Kondo scale ($ω\lesssim T_K$) and near the bias ($ω\gtrsim V$), leading to the nonequilibrium temperature $T_{\rm loc}$ local to the Kondo dot scaling as $k_BT_{\rm loc}\approx V$ for $V\gg T_K$. The current-voltage relation in the low-temperature limit ($T\ll T_K$) deviates from the unitary limit as the bias exceeds the Kondo scale ($V/2\gtrsim T_K$) and reaches the current saturation regime.
title Nonequilibrium Statistics of Biased Kondo Resonance
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2503.14400