Quantitative comparison of Anderson impurity solvers applied to transport in quantum dots

Autor(es)

de Souza Melo, Bruno Max ^[1] ; da Silva, Luis G. G. V. Dias ^[2] ; Rocha, Alexandre Reily ^[3] ; Lewenkopf, Caio ^[1]

Afiliação do(s) autor(es)

^[1] Univ Fed Fluminense, Inst Fis, BR-24210346 Niteroi, RJ - Brazil

^[2] Univ Sao Paulo, Inst Fis, Rua Matao 1371, BR-05508090 Sao Paulo, SP - Brazil

^[3] Sao Paulo State Univ UNESP, Inst Fis Teor, Sao Paulo, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF PHYSICS-CONDENSED MATTER; v. 32, n. 9 FEB 27 2020.
• Citações Web of Science: 1

Resumo

We study the single impurity Anderson model (SIAM) using the equations of motion method (EOM), the non-crossing approximation (NCA), the one-crossing approximation (OCA), and Wilson's numerical renormalization group (NRG). We calculate the density of states and the linear conductance focusing on their dependence on the chemical potential and on the temperature paying special attention to the Kondo and Coulomb blockade regimes for a large range of model parameters. We report that some standard approximations based on the EOM technique display a rather unexpected poor behavior in the Coulomb blockade regime even at high temperatures. Our study offers a critical comparison between the different methods as well as a detailed compilation of the shortcomings and limitations due the approximations involved in each technique, thus allowing for a cost-benefit analysis of the different solvers that considers both numerical precision and computational performance. (AU)

• Processo FAPESP: 16/01343-7 - ICTP Instituto Sul-Americano para Física Fundamental: um centro regional para física teórica
• Beneficiário: Nathan Jacob Berkovits
• Modalidade de apoio: Auxílio à Pesquisa - Projetos Especiais
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• Beneficiário: Luis Gregório Godoy de Vasconcellos Dias da Silva
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• Processo FAPESP: 17/02317-2 - Interfaces em materiais: propriedades eletrônicas, magnéticas, estruturais e de transporte
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