Controllable precision of the projective truncation approximation for Green's functions

doi:10.1088/1674-1056/28/4/047102

中国物理B ›› 2019, Vol. 28 ›› Issue (4): 47102-047102.doi: 10.1088/1674-1056/28/4/047102

• CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES • 上一篇下一篇

Controllable precision of the projective truncation approximation for Green's functions

Peng Fan(范鹏), Ning-Hua Tong(同宁华)

Department of Physics, Renmin University of China, Beijing 100872, China

收稿日期:2018-12-16 修回日期:2019-02-18 出版日期:2019-04-05 发布日期:2019-04-05
通讯作者: Ning-Hua Tong E-mail:nhtong@ruc.edu.cn
基金资助:
Project supported by the National Key Basic Research Program of China (Grant No. 2012CB921704), the National Natural Science Foundation of China (Grant No. 11374362), the Fundamental Research Funds for the Central Universities, and the Research Funds of Renmin University of China (Grant No. 15XNLQ03).

Controllable precision of the projective truncation approximation for Green's functions

Peng Fan(范鹏), Ning-Hua Tong(同宁华)

Department of Physics, Renmin University of China, Beijing 100872, China

Received:2018-12-16 Revised:2019-02-18 Online:2019-04-05 Published:2019-04-05
Contact: Ning-Hua Tong E-mail:nhtong@ruc.edu.cn
Supported by:
Project supported by the National Key Basic Research Program of China (Grant No. 2012CB921704), the National Natural Science Foundation of China (Grant No. 11374362), the Fundamental Research Funds for the Central Universities, and the Research Funds of Renmin University of China (Grant No. 15XNLQ03).

摘要/Abstract

摘要：

Recently, we developed the projective truncation approximation for the equation of motion of two-time Green's functions (Fan et al., Phys. Rev. B 97, 165140 (2018)). In that approximation, the precision of results depends on the selection of operator basis. Here, for three successively larger operator bases, we calculate the local static averages and the impurity density of states of the single-band Anderson impurity model. The results converge systematically towards those of numerical renormalization group as the basis size is enlarged. We also propose a quantitative gauge of the truncation error within this method and demonstrate its usefulness using the Hubbard-I basis. We thus confirm that the projective truncation approximation is a method of controllable precision for quantum many-body systems.

关键词: projective truncation approximation, two-time Green', s functions, single-band Anderson impurity model, numerical renormalization group

Abstract:

Key words: projective truncation approximation, two-time Green', s functions, single-band Anderson impurity model, numerical renormalization group

中图分类号: (Transition metals and alloys)

71.20.Be

71.10.Fd (Lattice fermion models (Hubbard model, etc.)) 24.10.Cn (Many-body theory)

范鹏, 同宁华. Controllable precision of the projective truncation approximation for Green's functions[J]. 中国物理B, 2019, 28(4): 47102-047102.

Peng Fan(范鹏), Ning-Hua Tong(同宁华). Controllable precision of the projective truncation approximation for Green's functions[J]. Chin. Phys. B, 2019, 28(4): 47102-047102.

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Controllable precision of the projective truncation approximation for Green's functions

Controllable precision of the projective truncation approximation for Green's functions

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