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Validation of the Ability of Full Configuration Interaction Quantum Monte Carlo for Studying the 2D Hubbard Model
Yun, Su-Jun1,3; Dong, Tie-Kuang2; Zhu, Shi-Ning3
2017-07-01
Source PublicationCHINESE PHYSICS LETTERS
ISSN0256-307X
Volume34Issue:8Pages:5
Corresponding AuthorYun, Su-Jun(yunsujun@163.com)
AbstractTo validate the ability of full configuration interaction quantum Monte Carlo (FCIQMC) for studying the 2D Hubbard model near half-filling regime, the ground state energies of a 4 x 4 square lattice system with various interaction strengths are calculated. It is found that the calculated results are in good agreement with those obtained by exact diagonalization (i.e., the exact values for a given basis set) when the population of psi particles (psips) is higher than the critical population required to correctly sample the ground state wave function. In addition, the variations of the average computational time per 20 Monte Carlo cycles with the coupling strength and the number of processors are also analyzed. The calculated results show that the computational efficiency of an FCIQMC calculation is mainly affected by the total population of psips and the communication between processors. These results can provide useful references for understanding the FCIQMC algorithm, studying the ground state properties of the 2D Hubbard model for the larger system size by the FCIQMC method and using a computational budget as effectively as possible.
DOI10.1088/0256-307X/34/8/080201
WOS KeywordRANDOM-WALK ; SIMULATIONS
Indexed BySCI
Language英语
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary
WOS IDWOS:000412909200001
PublisherIOP PUBLISHING LTD
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://libir.pmo.ac.cn/handle/332002/22776
Collection中国科学院紫金山天文台
Corresponding AuthorYun, Su-Jun
Affiliation1.Nanjing Xiaozhuang Univ, Sch Elect Engn, Nanjing 211171, Jiangsu, Peoples R China
2.Chinese Acad Sci, Key Lab Dark Matter & Space Astron, Purple Mt Observ, Nanjing 210008, Jiangsu, Peoples R China
3.Nanjing Univ, Sch Phys, Natl Lab Solid State Microstruct, Nanjing 210093, Jiangsu, Peoples R China
Recommended Citation
GB/T 7714
Yun, Su-Jun,Dong, Tie-Kuang,Zhu, Shi-Ning. Validation of the Ability of Full Configuration Interaction Quantum Monte Carlo for Studying the 2D Hubbard Model[J]. CHINESE PHYSICS LETTERS,2017,34(8):5.
APA Yun, Su-Jun,Dong, Tie-Kuang,&Zhu, Shi-Ning.(2017).Validation of the Ability of Full Configuration Interaction Quantum Monte Carlo for Studying the 2D Hubbard Model.CHINESE PHYSICS LETTERS,34(8),5.
MLA Yun, Su-Jun,et al."Validation of the Ability of Full Configuration Interaction Quantum Monte Carlo for Studying the 2D Hubbard Model".CHINESE PHYSICS LETTERS 34.8(2017):5.
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