Real-space grids and the Octopus code as tools for the development of new simulation approaches for electronic systems

被引:408
作者
Andrade, Xavier [1 ,2 ]
Strubbe, David [3 ]
De Giovannini, Umberto [4 ,5 ]
Hjorth Larsen, Ask [4 ,5 ]
Oliveira, Micael J. T. [6 ]
Alberdi-Rodriguez, Joseba [4 ,5 ,7 ]
Varas, Alejandro [4 ,5 ]
Theophilou, Iris [8 ,9 ]
Helbig, Nicole [8 ,9 ]
Verstraete, Matthieu J. [6 ]
Stella, Lorenzo [10 ]
Nogueira, Fernando [11 ]
Aspuru-Guzik, Alan [2 ]
Castro, Alberto [12 ,13 ,14 ]
Marques, Miguel A. L. [15 ]
Rubio, Angel [4 ,5 ,16 ]
机构
[1] Lawrence Livermore Natl Lab, Livermore, CA 94550 USA
[2] Harvard Univ, Dept Chem & Chem Biol, Cambridge, MA 02138 USA
[3] MIT, Dept Mat Sci & Engn, Cambridge, MA 02139 USA
[4] Univ Basque Country, CFM CSIC UPV EHU MPC, Nanobio Spect Grp, Donostia San Sebastian 20018, Spain
[5] Univ Basque Country, CFM CSIC UPV EHU MPC, European Theoret Spect Facil, Donostia San Sebastian 20018, Spain
[6] Univ Liege, Dept Phys, Unite Nanomat, B-4000 Liege, Belgium
[7] Univ Basque Country, UPV EHU, Dept Comp Architecture & Technol, Donostia San Sebastian 20018, Spain
[8] Forschungszentrum Julich, Peter Grunberg Inst, D-52425 Julich, Germany
[9] Forschungszentrum Julich, Inst Adv Simulat, D-52425 Julich, Germany
[10] Queens Univ Belfast, Sch Math & Phys, Atomist Simulat Ctr, Belfast BT7 1NN, Antrim, North Ireland
[11] Univ Coimbra, Ctr Computat Phys, P-3004516 Coimbra, Portugal
[12] Univ Zaragoza, Inst Biocomputat & Phys Complex Syst BIFI, E-50009 Zaragoza, Spain
[13] Univ Zaragoza, Zaragoza Ctr Adv Modeling, E-50009 Zaragoza, Spain
[14] ARAID Fdn, E-50018 Zaragoza, Spain
[15] Univ Halle Wittenberg, Inst Phys, D-06120 Halle, Saale, Germany
[16] Max Planck Inst Struct & Dynam Matter, Hamburg, Germany
基金
美国国家科学基金会; 欧洲研究理事会;
关键词
DENSITY-FUNCTIONAL THEORY; QUANTUM-OPTIMAL-CONTROL; FINITE-DIFFERENCE; BASIS-SET; MOLECULAR-DYNAMICS; OPTICAL-PROPERTIES; ALGORITHM; APPROXIMATION; EXCHANGE; PLASMONICS;
D O I
10.1039/c5cp00351b
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
Real-space grids are a powerful alternative for the simulation of electronic systems. One of the main advantages of the approach is the flexibility and simplicity of working directly in real space where the different fields are discretized on a grid, combined with competitive numerical performance and great potential for parallelization. These properties constitute a great advantage at the time of implementing and testing new physical models. Based on our experience with the Octopus code, in this article we discuss how the real-space approach has allowed for the recent development of new ideas for the simulation of electronic systems. Among these applications are approaches to calculate response properties, modeling of photoemission, optimal control of quantum systems, simulation of plasmonic systems, and the exact solution of the Schrodinger equation for low-dimensionality systems.
引用
收藏
页码:31371 / 31396
页数:26
相关论文
共 199 条
[1]   Measurement of the absolute Raman cross section of the optical phonons in type Ia natural diamond [J].
Aggarwal, R. L. ;
Farrar, L. W. ;
Saikin, S. K. ;
Andrade, X. ;
Aspuru-Guzik, A. ;
Polla, D. L. .
SOLID STATE COMMUNICATIONS, 2012, 152 (03) :204-209
[2]   CLASS OF ANALYTIC PERTURBATIONS FOR ONE-BODY SCHRODINGER HAMILTONIANS [J].
AGUILAR, J ;
COMBES, JM .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1971, 22 (04) :269-&
[3]  
Alberdi-Rodriguez J, 2014, LECT NOTES COMPUT SC, V8582, P607, DOI 10.1007/978-3-319-09147-1_44
[4]   Efficient formalism for large-scale ab initio molecular dynamics based on time-dependent density functional theory [J].
Alonso, J. L. ;
Andrade, X. ;
Echenique, P. ;
Falceto, F. ;
Prada-Gracia, D. ;
Rubio, A. .
PHYSICAL REVIEW LETTERS, 2008, 101 (09)
[5]  
AMMOSOV MV, 1986, ZH EKSP TEOR FIZ+, V91, P2008
[6]  
Anderson E., 1999, LAPACK Users' Guide, V3rd
[7]  
Andrade X., 2010, THESIS
[8]  
Andrade X., 2012, FUNDAMENTALS TIME DE, P401
[9]   Time-dependent density functional theory scheme for efficient calculations of dynamic (hyper)polarizabilities [J].
Andrade, Xavier ;
Botti, Silvana ;
Marques, Miguel A. L. ;
Rubio, Angel .
JOURNAL OF CHEMICAL PHYSICS, 2007, 126 (18)
[10]   Real-Space Density Functional Theory on Graphical Processing Units: Computational Approach and Comparison to Gaussian Basis Set Methods [J].
Andrade, Xavier ;
Aspuru-Guzik, Alan .
JOURNAL OF CHEMICAL THEORY AND COMPUTATION, 2013, 9 (10) :4360-4373