Quantitative comparison of Anderson impurity solvers applied to transport in quantum dots
| Autor: | Alexandre Reily Rocha, Bruno Max de Souza Melo, Luis G. G. V. Dias da Silva, Caio H. Lewenkopf |
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| Přispěvatelé: | Universidade Federal Fluminense (UFF), Universidade de São Paulo (USP), Universidade Estadual Paulista (Unesp) |
| Rok vydání: | 2019 |
| Předmět: |
molecular electronics
FOS: Physical sciences quantum dots 02 engineering and technology 01 natural sciences Condensed Matter - Strongly Correlated Electrons Impurity electronic transport Mesoscale and Nanoscale Physics (cond-mat.mes-hall) 0103 physical sciences General Materials Science 010306 general physics Anderson impurity model Physics impurity solvers Condensed Matter - Mesoscale and Nanoscale Physics Strongly Correlated Electrons (cond-mat.str-el) Conductance Coulomb blockade Molecular electronics Equations of motion Condensed Matter::Mesoscopic Systems and Quantum Hall Effect 021001 nanoscience & nanotechnology Condensed Matter Physics Quantum dot Quantum electrodynamics Density of states Condensed Matter::Strongly Correlated Electrons 0210 nano-technology |
| Zdroj: | Scopus Repositório Institucional da UNESP Universidade Estadual Paulista (UNESP) instacron:UNESP |
| ISSN: | 1361-648X |
| Popis: | Made available in DSpace on 2020-12-12T01:51:56Z (GMT). No. of bitstreams: 0 Previous issue date: 2020-01-01 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. Instituto de Física Universidade Federal Fluminense Universidade de Sao Paulo Instituto de Fisica, Rua do Matao 1371 Instituto de Física Teórica Sao Paulo State University (UNESP) Instituto de Física Teórica Sao Paulo State University (UNESP) |
| Databáze: | OpenAIRE |
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