A comparison of linear scaling tight-binding methods

A comparison of linear scaling tight-binding methods
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DOI:
10.1088/0965-0393/5/3/002
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发表时间:
1997-05-01
影响因子:
1.8
通讯作者:
Pettifor, DG
Pettifor, DG
中科院分区:
材料科学3区
文献类型:
--
作者:
Bowler, DR;Aoki, M;Pettifor, DG

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四个线性标度紧束缚方法(密度矩阵方法,键序势,全局密度的状态方法,和费米算符展开)进行了描述和比较,以显示相对的计算效率为一个给定的精度。探索了各种示例系统:绝缘体(金刚石结构中的碳),半导体(硅),过渡金属(钛)和分子(苯)。密度矩阵方法被证明是最有效的系统具有狭窄的功能,在他们的能隙,而基于递归的时刻的方法被证明是最有效的金属系统。
Four linear scaling tight-binding methods (the density matrix method, bond order potentials, the global density of states method, and the Fermi operator expansion) are described and compared to show relative computational efficiency for a given accuracy. Various example systems are explored: an insulator (carbon in the diamond structure), a semiconductor (silicon), a transition metal (titanium) and a molecule (benzene). The density matrix method proves to be most efficient for systems with narrow features in their energy gaps, while recursion-based moments methods prove to be most efficient for metallic systems.