An improved auxiliary boson method for quantum dots with finite Coulomb interaction U
Abstract
In this work, we present an improved version of the formulation of the four auxiliary bosons originally proposed by Kotliar and Ruckenstein, adapted to describe a quantum dot in the Kondo regime with finite electron-electron interaction U. The proposed refinement provides a more accurate treatment of strong electronic correlations while preserving the analytical tractability of the original approach, thereby enabling a reliable description of transport properties in nanoscale systems. Benchmark calculations show good agreement with the results of the numerical renormalization group, supporting the validity of the improved formulation. Our approach therefore provides an efficient and robust framework for investigating transport through strongly correlated quantum dots.
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BibTeX
@misc{ramosandrade2026improved,
title = {{An improved auxiliary boson method for quantum dots with finite Coulomb interaction U}},
author = {Juan Pablo Ramos-Andrade and Patricia Almeida and Ana María Calle and Gustavo Lara},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.16311},
eprint = {2609.16311},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.16311},
}
RIS
TY - UNPB
TI - An improved auxiliary boson method for quantum dots with finite Coulomb interaction U
AU - Juan Pablo Ramos-Andrade
AU - Patricia Almeida
AU - Ana María Calle
AU - Gustavo Lara
PY - 2026
DA - 2026/09/14
PB - arXiv
DO - 10.48550/arxiv.2609.16311
UR - https://arxiv.org/abs/2609.16311
AB - In this work, we present an improved version of the formulation of the four auxiliary bosons originally proposed by Kotliar and Ruckenstein, adapted to describe a quantum dot in the Kondo regime with finite electron-electron interaction U. The proposed refinement provides a more accurate treatment of strong electronic correlations while preserving the analytical tractability of the original approach, thereby enabling a reliable description of transport properties in nanoscale systems. Benchmark calculations show good agreement with the results of the numerical renormalization group, supporting the validity of the improved formulation. Our approach therefore provides an efficient and robust framework for investigating transport through strongly correlated quantum dots.
ER -