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The Linearly Scaling 3D Fragment Method for Large Scale Electronic Structure Calculations
Author(s) -
Zhengji Zhao,
Juan C. Meza,
Byounghak Lee,
Hongzhang Shan,
Erich Strohmaier,
David H. Bailey,
LinWang Wang
Publication year - 2009
Language(s) - English
Resource type - Reports
DOI - 10.2172/964376
Subject(s) - scaling , divide and conquer algorithms , fragment (logic) , linear scale , ab initio , electronic structure , code (set theory) , computer science , atom (system on chip) , boundary (topology) , computational science , periodic boundary conditions , scheme (mathematics) , physics , parallel computing , algorithm , boundary value problem , mathematics , geometry , quantum mechanics , mathematical analysis , geodesy , set (abstract data type) , programming language , geography
The Linearly Scaling three-dimensional fragment (LS3DF) method is an O(N) ab initio electronic structure method for large-scale nano material simulations. It is a divide-and-conquer approach with a novel patching scheme that effectively cancels out the artificial boundary effects, which exist in all divide-and-conquer schemes. This method has made ab initio simulations of thousand-atom nanosystems feasible in a couple of hours, while retaining essentially the same accuracy as the direct calculation methods. The LS3DF method won the 2008 ACM Gordon Bell Prize for algorithm innovation. Our code has reached 442 Tflop/s running on 147,456 processors on the Cray XT5 (Jaguar) at OLCF, and has been run on 163,840 processors on the Blue Gene/P (Intrepid) at ALCF, and has been applied to a system containing 36,000 atoms. In this paper, we will present the recent parallel performance results of this code, and will apply the method to asymmetric CdSe/CdS core/shell nanorods, which have potential applications in electronic devices and solar cells

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