Computation of Maximally Localized Wannier Functions using a simultaneous diagonalization algorithm

被引:86
作者
Gygi, F [1 ]
Fattebert, JL [1 ]
Schwegler, E [1 ]
机构
[1] Lawrence Livermore Natl Lab, Ctr Appl Sci Comp, Livermore, CA 94551 USA
关键词
Wannier functions; first-principles molecular dynamics; simultaneous diagonalization;
D O I
10.1016/S0010-4655(03)00315-1
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
We show that a simultaneous diagonalization algorithm used in signal processing applications can be used in the context of electronic structure calculations to efficiently compute Maximally Localized Wannier Functions (MLWFs). Applications to calculations of MLWFs in molecular and solid systems demonstrate the efficiency of the approach. We also present and discuss a parallel version of the algorithm. An extension of the concept of MLWF to generalized minimum spread wavefunctions is proposed. (C) 2003 Elsevier B.V. All rights reserved.
引用
收藏
页码:1 / 6
页数:6
相关论文
共 17 条
  • [1] General and efficient algorithms for obtaining maximally localized Wannier functions
    Berghold, G
    Mundy, CJ
    Romero, AH
    Hutter, J
    Parrinello, M
    [J]. PHYSICAL REVIEW B, 2000, 61 (15): : 10040 - 10048
  • [2] Jacobi angles for simultaneous diagonalization
    Cardoso, JF
    Souloumiac, A
    [J]. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1996, 17 (01) : 161 - 164
  • [3] CARDOSO JF, COMMUNICATION
  • [4] LOCALIZED ATOMIC AND MOLECULAR ORBITALS
    EDMISTON, C
    RUEDENBERG, K
    [J]. REVIEWS OF MODERN PHYSICS, 1963, 35 (03) : 457 - &
  • [5] AN ALGORITHM FOR SIMULTANEOUS ORTHOGONAL TRANSFORMATION OF SEVERAL POSITIVE DEFINITE SYMMETRICAL-MATRICES TO NEARLY DIAGONAL FORM
    FLURY, BN
    GAUTSCHI, W
    [J]. SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1986, 7 (01): : 169 - 184
  • [6] COMMON PRINCIPAL COMPONENTS IN K-GROUPS
    FLURY, BN
    [J]. JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1984, 79 (388) : 892 - 898
  • [7] Golub G.H., 2013, MATRIX COMPUTATIONS
  • [8] GYGI F, 2003, GP 1 16 0 GEN PURPOS
  • [9] Wave-function localization in reciprocal space
    Iannuzzi, M
    Parrinello, M
    [J]. PHYSICAL REVIEW B, 2002, 66 (15): : 1 - 6
  • [10] THEORY OF POLARIZATION OF CRYSTALLINE SOLIDS
    KINGSMITH, RD
    VANDERBILT, D
    [J]. PHYSICAL REVIEW B, 1993, 47 (03): : 1651 - 1654