Artículo
Heidrich-Meisner, F.; Martins, G.B.; Büsser, C.A.; Al-Hassanieh, K.A.; Feiguin, A.E.; Chiappe, G.; Anda, E.V.; Dagotto, E. "Transport through quantum dots: A combined DMRG and embedded-cluster approximation study" (2009) European Physical Journal B. 67(4):527-542
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Abstract:
The numerical analysis of strongly interacting nanostructures requires powerful techniques. Recently developed methods, such as the time-dependent density matrix renormalization group (tDMRG) approach or the embedded-cluster approximation (ECA), rely on the numerical solution of clusters of finite size. For the interpretation of numerical results, it is therefore crucial to understand finite-size effects in detail. In this work, we present a careful finite-size analysis for the examples of one quantum dot, as well as three serially connected quantum dots. Depending on "odd-even" effects, physically quite different results may emerge from clusters that do not differ much in their size. We provide a solution to a recent controversy over results obtained with ECA for three quantum dots. In particular, using the optimum clusters discussed in this paper, the parameter range in which ECA can reliably be applied is increased, as we show for the case of three quantum dots. As a practical procedure, we propose that a comparison of results for static quantities against those of quasi-exact methods, such as the ground-state density matrix renormalization group (DMRG) method or exact diagonalization, serves to identify the optimum cluster type. In the examples studied here, we find that to observe signatures of the Kondo effect in finite systems, the best clusters involving dots and leads must have a total z-component of the spin equal to zero. © 2009 EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg.
Registro:
| Documento: | Artículo |
| Título: | Transport through quantum dots: A combined DMRG and embedded-cluster approximation study |
| Autor: | Heidrich-Meisner, F.; Martins, G.B.; Büsser, C.A.; Al-Hassanieh, K.A.; Feiguin, A.E.; Chiappe, G.; Anda, E.V.; Dagotto, E. |
| Filiación: | Materials Science and Technology Division, Oak Ridge National Laboratory, Oak Ridge, TN 37831, United States Department of Physics and Astronomy, University of Tennessee, Knoxville, TN 37996, United States Department of Physics, Oakland University, Rochester, MI 48309, United States Department of Physics and Astronomy, Ohio University, Athens, OH 45701, United States National High Magnetic Field Laboratory, Department of Physics, Florida State University, Tallahassee, FL 32306, United States Microsoft Project Q, University of California, Santa Barbara, CA 93106, United States Condensed Matter Theory Center, Department of Physics, University of Maryland, College Park, MD 20742, United States Departmento de Física J.J. Giambiagi, Universidad de Buenos Aires, Buenos Aires 1428, Argentina Departamento de Física Aplicada, Universidad de Alicante, San Vicente del Raspeig, Alicante 03690, Spain Departamento de Física, Pontificia Universidade Católica Do Rio de Janeiro, Rio de Janeiro 38071, Brazil Theoretical Division T-11, Los Alamos National Laboratory, Los Alamos, NM 87545, United States Institut für Theoretische Physik C, RWTH Aachen University, 52056 Aachen, Germany |
| Palabras clave: | Cluster approximations; Exact diagonalization; Exact methods; Finite sizes; Finite systems; Finite-size analysis; Finite-size effects; Ground-state densities; Numerical results; Numerical solutions; Parameter ranges; Practical procedures; Quantum dots; Time-dependent density matrixes; Electric resistance; Kondo effect; Magnetic materials; Numerical methods; Optical waveguides; Quantum chemistry; Quantum theory; Statistical mechanics; Semiconductor quantum dots |
| Año: | 2009 |
| Volumen: | 67 |
| Número: | 4 |
| Página de inicio: | 527 |
| Página de fin: | 542 |
| DOI: | http://dx.doi.org/10.1140/epjb/e2009-00036-4 |
| Título revista: | European Physical Journal B |
| Título revista abreviado: | Eur. Phys. J. B |
| ISSN: | 14346028 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14346028_v67_n4_p527_HeidrichMeisner |
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Citas:
---------- APA ----------
Heidrich-Meisner, F., Martins, G.B., Büsser, C.A., Al-Hassanieh, K.A., Feiguin, A.E., Chiappe, G., Anda, E.V.,..., Dagotto, E. (2009) . Transport through quantum dots: A combined DMRG and embedded-cluster approximation study. European Physical Journal B, 67(4), 527-542.http://dx.doi.org/10.1140/epjb/e2009-00036-4
---------- CHICAGO ----------
Heidrich-Meisner, F., Martins, G.B., Büsser, C.A., Al-Hassanieh, K.A., Feiguin, A.E., Chiappe, G., et al. "Transport through quantum dots: A combined DMRG and embedded-cluster approximation study" . European Physical Journal B 67, no. 4 (2009) : 527-542.http://dx.doi.org/10.1140/epjb/e2009-00036-4
---------- MLA ----------
Heidrich-Meisner, F., Martins, G.B., Büsser, C.A., Al-Hassanieh, K.A., Feiguin, A.E., Chiappe, G., et al. "Transport through quantum dots: A combined DMRG and embedded-cluster approximation study" . European Physical Journal B, vol. 67, no. 4, 2009, pp. 527-542.http://dx.doi.org/10.1140/epjb/e2009-00036-4
---------- VANCOUVER ----------
Heidrich-Meisner, F., Martins, G.B., Büsser, C.A., Al-Hassanieh, K.A., Feiguin, A.E., Chiappe, G., et al. Transport through quantum dots: A combined DMRG and embedded-cluster approximation study. Eur. Phys. J. B. 2009;67(4):527-542.http://dx.doi.org/10.1140/epjb/e2009-00036-4
