Method to study highly correlated nanostructures:: The logarithmic-discretization embedded-cluster approximation

被引:32
作者
Anda, E. V. [2 ]
Chiappe, G. [3 ,4 ]
Busser, C. A. [1 ,5 ]
Davidovich, M. A. [2 ]
Martins, G. B. [1 ]
Heidrich-Meisner, F. [6 ,7 ,8 ]
Dagotto, E. [7 ,8 ]
机构
[1] Oakland Univ, Dept Phys, Rochester, MI 48309 USA
[2] Pontificia Univ Catolica Rio de Janeiro, Dept Fis, BR-22453900 Rio De Janeiro, Brazil
[3] Univ Alicante, Dept Fis Aplicada, Alicante 03690, Spain
[4] Univ Buenos Aires, Fac Ciencias Exactas, Dept Fis JJ Giambiagi, RA-1428 Buenos Aires, DF, Argentina
[5] Ohio Univ, Dept Phys & Astron, Athens, OH 45701 USA
[6] Rhein Westfal TH Aachen, Inst Theoret Phys C, D-52056 Aachen, Germany
[7] Oak Ridge Natl Lab, Div Mat Sci & Technol, Oak Ridge, TN 37831 USA
[8] Univ Tennessee, Dept Phys & Astron, Knoxville, TN 37996 USA
来源
PHYSICAL REVIEW B | 2008年 / 78卷 / 08期
基金
美国国家科学基金会;
关键词
D O I
10.1103/PhysRevB.78.085308
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This work proposes an approach to study transport properties of highly correlated local structures. The method, dubbed the logarithmic discretization embedded cluster approximation (LDECA), consists of diagonalizing a finite cluster containing the many-body terms of the Hamiltonian and embedding it into the rest of the system, combined with Wilson's idea of a logarithmic discretization of the representation of the Hamiltonian. The physics associated with both one embedded dot and a double-dot side coupled to leads is discussed in detail. In the former case, the results perfectly agree with Bethe ansatz data, while in the latter, the physics obtained is framed in the conceptual background of a two-stage Kondo problem. A many-body formalism provides a solid theoretical foundation to the method. We argue that LDECA is well suited to study complicated problems such as transport through molecules or quantum dot structures with complex ground states.
引用
收藏
页数:16
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