Unraveling screening mechanisms in Kondo impurities using an NRG-MPS-based method

Fuente: arXiv
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Main Authors: Stocker, Lidia, Zilberberg, Oded
Format: Preprint
Published: 2025
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author Stocker, Lidia
Zilberberg, Oded
author_facet Stocker, Lidia
Zilberberg, Oded
contents The Kondo effect is a hallmark of strongly-correlated systems, where an impurity's local degrees of freedom are screened by conduction electrons, forming a many-body singlet. With increasing degrees of freedom in the impurity, theoretical studies face significant challenges in accurately identifying and characterizing the underlying mechanisms that screen the impurity. In this work, we introduce a straightforward yet powerful methodology for identifying the formation of Kondo singlets and their screening mechanisms, by utilizing the numerical renormalization group (NRG) combined with the matrix product states (MPS) technique. We demonstrate the effectiveness of our method on the single and two-level Anderson impurity models (AIM). Furthermore, we discuss potential generalizations of the method to multichannel and multiorbital Kondo impurities. Harnessing advanced tensor network techniques, our approach extends to complex impurity systems, offering a robust and versatile framework for studying Kondo physics.
format Preprint
id arxiv_https___arxiv_org_abs_2501_10746
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Unraveling screening mechanisms in Kondo impurities using an NRG-MPS-based method
Stocker, Lidia
Zilberberg, Oded
Strongly Correlated Electrons
The Kondo effect is a hallmark of strongly-correlated systems, where an impurity's local degrees of freedom are screened by conduction electrons, forming a many-body singlet. With increasing degrees of freedom in the impurity, theoretical studies face significant challenges in accurately identifying and characterizing the underlying mechanisms that screen the impurity. In this work, we introduce a straightforward yet powerful methodology for identifying the formation of Kondo singlets and their screening mechanisms, by utilizing the numerical renormalization group (NRG) combined with the matrix product states (MPS) technique. We demonstrate the effectiveness of our method on the single and two-level Anderson impurity models (AIM). Furthermore, we discuss potential generalizations of the method to multichannel and multiorbital Kondo impurities. Harnessing advanced tensor network techniques, our approach extends to complex impurity systems, offering a robust and versatile framework for studying Kondo physics.
title Unraveling screening mechanisms in Kondo impurities using an NRG-MPS-based method
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2501.10746