메뉴 건너뛰기




Volumn 162, Issue 1, 2004, Pages 24-36

Linear scaling first-principles molecular dynamics with controlled accuracy

Author keywords

Density Functional Theory; Finite differences; First principles molecular dynamics; Linear scaling

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; FINITE DIFFERENCE METHOD; MATHEMATICAL MODELS; MATRIX ALGEBRA; OPTIMIZATION; PROBABILITY DENSITY FUNCTION;

EID: 3843061168     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cpc.2004.06.068     Document Type: Article
Times cited : (56)

References (30)
  • 1
    • 0000639195 scopus 로고    scopus 로고
    • Linear scaling methods for electronic structure calculations and quantum molecular dynamics simulations
    • Galli G. Linear scaling methods for electronic structure calculations and quantum molecular dynamics simulations. Curr. Opin. Solid State Mater. Sci. 1:(6):1996;864-874.
    • (1996) Curr. Opin. Solid State Mater. Sci. , vol.1 , Issue.6 , pp. 864-874
    • Galli, G.1
  • 2
    • 0033246389 scopus 로고    scopus 로고
    • Linear scaling electronic structure methods
    • Goedecker S. Linear scaling electronic structure methods. Rev. Mod. Phys. 71:(4):1999;1085-1123.
    • (1999) Rev. Mod. Phys. , vol.71 , Issue.4 , pp. 1085-1123
    • Goedecker, S.1
  • 3
    • 2842614806 scopus 로고    scopus 로고
    • Linear-scaling density-functional-theory technique: The density-matrix approach
    • Hernandez E., Gillan M.J., Goringe C.M. Linear-scaling density-functional-theory technique: The density-matrix approach. Phys. Rev. B. 53:(11):1996;7147-7157.
    • (1996) Phys. Rev. B. , vol.53 , Issue.11 , pp. 7147-7157
    • Hernandez, E.1    Gillan, M.J.2    Goringe, C.M.3
  • 4
    • 0345995239 scopus 로고    scopus 로고
    • Fully-selfconsistent electronic-structure calculation using nonorthogonal localized orbitals within a finite-difference real-space scheme and ultrasoft pseudopotential
    • Hoshi T., Fujiwara T. Fully-selfconsistent electronic-structure calculation using nonorthogonal localized orbitals within a finite-difference real-space scheme and ultrasoft pseudopotential. J. Phys. Soc. Jpn. 66:(12):1997;3710-3713.
    • (1997) J. Phys. Soc. Jpn. , vol.66 , Issue.12 , pp. 3710-3713
    • Hoshi, T.1    Fujiwara, T.2
  • 5
    • 0001439552 scopus 로고    scopus 로고
    • Towards grid-based O(N) density-functional theory methods: Optimized non-orthogonal orbitals and multigrid acceleration
    • Fattebert J.-L., Bernholc J. Towards grid-based O(N) density-functional theory methods: optimized non-orthogonal orbitals and multigrid acceleration. Phys. Rev. B. 62:(3):2000;1713-1722.
    • (2000) Phys. Rev. B. , vol.62 , Issue.3 , pp. 1713-1722
    • Fattebert, J.-L.1    Bernholc, J.2
  • 7
    • 0042006421 scopus 로고    scopus 로고
    • Basis functions for linear-scaling first-principles calculations
    • Hernandez E., Gillan M.J., Goringe C.M. Basis functions for linear-scaling first-principles calculations. Phys. Rev. B. 55:(20):1997;13485.
    • (1997) Phys. Rev. B. , vol.55 , Issue.20 , pp. 13485
    • Hernandez, E.1    Gillan, M.J.2    Goringe, C.M.3
  • 8
    • 0000309751 scopus 로고    scopus 로고
    • Large-scale electronic-structure calculations based on the adaptive finite-element method
    • Tsuchida E., Tsukada M. Large-scale electronic-structure calculations based on the adaptive finite-element method. J. Phys. Soc. Jpn. 67:(11):1998;3844-3858.
    • (1998) J. Phys. Soc. Jpn. , vol.67 , Issue.11 , pp. 3844-3858
    • Tsuchida, E.1    Tsukada, M.2
  • 9
    • 0036716793 scopus 로고    scopus 로고
    • Total-energy calculations on a real space grid with localized functions and a plane-wave basis
    • Mostofi A., Skylaris C., Haynes P., Payne M. Total-energy calculations on a real space grid with localized functions and a plane-wave basis. Comput. Phys. Comm. 147:(3):2002;788-802.
    • (2002) Comput. Phys. Comm. , vol.147 , Issue.3 , pp. 788-802
    • Mostofi, A.1    Skylaris, C.2    Haynes, P.3    Payne, M.4
  • 10
    • 33645704666 scopus 로고
    • Orbital formulation for electronic-structure calculations with linear system-size scaling
    • Mauri F., Galli G., Car R. Orbital formulation for electronic-structure calculations with linear system-size scaling. Phys. Rev. B. 47:(15):1993;R9973- 9976.
    • (1993) Phys. Rev. B. , vol.47 , Issue.15 , pp. 9973-9976
    • Mauri, F.1    Galli, G.2    Car, R.3
  • 11
    • 4244168143 scopus 로고
    • Efficient linear scaling algorithm for tight-binding molecular dynamics
    • Goedecker S., Colombo L. Efficient linear scaling algorithm for tight-binding molecular dynamics. Phys. Rev. Lett. 73:1994;122-125.
    • (1994) Phys. Rev. Lett. , vol.73 , pp. 122-125
    • Goedecker, S.1    Colombo, L.2
  • 12
    • 0001336950 scopus 로고
    • Electronic-structure calculations and molecular-dynamics simulations with linear system-size scaling
    • Mauri F., Galli G. Electronic-structure calculations and molecular-dynamics simulations with linear system-size scaling. Phys. Rev. B. 50:(7):1994;4316-4326.
    • (1994) Phys. Rev. B. , vol.50 , Issue.7 , pp. 4316-4326
    • Mauri, F.1    Galli, G.2
  • 13
    • 0000729582 scopus 로고
    • Linear system size scaling methods for electronic structure calculations
    • Ordejon P., Drabold D.A., Martin R.M., Grumbach M.P. Linear system size scaling methods for electronic structure calculations. Phys. Rev. B. 51:(3):1995;1456-1476.
    • (1995) Phys. Rev. B. , vol.51 , Issue.3 , pp. 1456-1476
    • Ordejon, P.1    Drabold, D.A.2    Martin, R.M.3    Grumbach, M.P.4
  • 14
    • 0000664478 scopus 로고
    • Tight-binding electronic-structure calculations and tight-binding molecular dynamics with localized orbitals
    • Goedecker S., Teter M. Tight-binding electronic-structure calculations and tight-binding molecular dynamics with localized orbitals. Phys. Rev. B. 51:(15):1995;9455-9464.
    • (1995) Phys. Rev. B. , vol.51 , Issue.15 , pp. 9455-9464
    • Goedecker, S.1    Teter, M.2
  • 15
    • 0000303596 scopus 로고
    • Total-energy global optimizations using nonorthogonal localized orbitals
    • Kim J., Mauri F., Galli G. Total-energy global optimizations using nonorthogonal localized orbitals. Phys. Rev. B. 52:(3):1995;1640-1648.
    • (1995) Phys. Rev. B. , vol.52 , Issue.3 , pp. 1640-1648
    • Kim, J.1    Mauri, F.2    Galli, G.3
  • 17
    • 4243690324 scopus 로고    scopus 로고
    • Maximally localized generalized Wannier functions for composite energy bands
    • Marzari N., Vanderbilt D. Maximally localized generalized Wannier functions for composite energy bands. Phys. Rev. B. 56:(20):1997;12847.
    • (1997) Phys. Rev. B. , vol.56 , Issue.20 , pp. 12847
    • Marzari, N.1    Vanderbilt, D.2
  • 18
    • 0000625523 scopus 로고
    • Conjugate gradient minimization of the energy functional: A new method for electronic structure calculation
    • Stich I., Car R., Parrinello M., Baroni S. Conjugate gradient minimization of the energy functional: A new method for electronic structure calculation. Phys. Rev. B. 39:(8):1989;4997-5004.
    • (1989) Phys. Rev. B. , vol.39 , Issue.8 , pp. 4997-5004
    • Stich, I.1    Car, R.2    Parrinello, M.3    Baroni, S.4
  • 19
    • 4243943295 scopus 로고    scopus 로고
    • Generalized gradient approximation made simple
    • Perdew J., Burke K., Ernzerhof M. Generalized gradient approximation made simple. Phys. Rev. Lett. 77:(18):1996;3865-3868.
    • (1996) Phys. Rev. Lett. , vol.77 , Issue.18 , pp. 3865-3868
    • Perdew, J.1    Burke, K.2    Ernzerhof, M.3
  • 20
    • 5844306937 scopus 로고
    • Generalized norm-conserving pseudopotentials
    • Hamann D.R. Generalized norm-conserving pseudopotentials. Phys. Rev. B. 40:(5):1989;2980-2987.
    • (1989) Phys. Rev. B. , vol.40 , Issue.5 , pp. 2980-2987
    • Hamann, D.R.1
  • 21
    • 33645426115 scopus 로고
    • Efficient pseudopotentials for plane-wave calculations
    • Troullier N., Martins J. Efficient pseudopotentials for plane-wave calculations. Phys. Rev. B. 43:(3):1991;1993-2006.
    • (1991) Phys. Rev. B. , vol.43 , Issue.3 , pp. 1993-2006
    • Troullier, N.1    Martins, J.2
  • 22
    • 0000054413 scopus 로고    scopus 로고
    • Real-space multigrid-based approach to large-scale electronic structure calculations
    • Briggs E.L., Sullivan D.J., Bernholc J. Real-space multigrid-based approach to large-scale electronic structure calculations. Phys. Rev. B. 54:(20):1996;14 362-14 375.
    • (1996) Phys. Rev. B. , vol.54 , Issue.20
    • Briggs, E.L.1    Sullivan, D.J.2    Bernholc, J.3
  • 23
    • 11944256577 scopus 로고
    • Iterative minimization techniques for ab initio total-energy calculations: Molecular dynamics and conjugate gradients
    • Payne M.C., Teter M.P., Allan D.C., Arias T., Joannopoulos J. Iterative minimization techniques for ab initio total-energy calculations: molecular dynamics and conjugate gradients. Rev. Mod. Phys. 64:(4):1992;1045-1097.
    • (1992) Rev. Mod. Phys. , vol.64 , Issue.4 , pp. 1045-1097
    • Payne, M.C.1    Teter, M.P.2    Allan, D.C.3    Arias, T.4    Joannopoulos, J.5
  • 24
    • 3843151847 scopus 로고    scopus 로고
    • Finite difference methods for ab initio electronic structure and quantum transport calculations of nanostructures
    • P. Ciarlet, Le Bris C. Amsterdam: Elsevier Science
    • Fattebert J.-L., Buongiorno Nardelli M. Finite difference methods for ab initio electronic structure and quantum transport calculations of nanostructures. Ciarlet P., Le Bris C. Handbook of Numerical Analysis. vol. X:2003;Elsevier Science, Amsterdam.
    • (2003) Handbook of Numerical Analysis , vol.10
    • Fattebert, J.-L.1    Buongiorno Nardelli, M.2
  • 25
    • 84945709150 scopus 로고
    • Iterative procedures for nonlinear integral equations
    • Anderson D. Iterative procedures for nonlinear integral equations. J. ACM. 12:(4):1965;547-560.
    • (1965) J. ACM , vol.12 , Issue.4 , pp. 547-560
    • Anderson, D.1
  • 26
    • 0042528905 scopus 로고    scopus 로고
    • Computation of maximally localized Wannier functions using a simultaneous diagonalization algorithm
    • Gygi F., Fattebert J.-L., Schwegler E. Computation of maximally localized Wannier functions using a simultaneous diagonalization algorithm. Comput. Phys. Comm. 155:2003;1-6.
    • (2003) Comput. Phys. Comm. , vol.155 , pp. 1-6
    • Gygi, F.1    Fattebert, J.-L.2    Schwegler, E.3
  • 27
    • 0001462282 scopus 로고    scopus 로고
    • Quantum-mechanical position operator in extended systems
    • Resta R. Quantum-mechanical position operator in extended systems. Phys. Rev. Lett. 80:(9):1998;1800-1803.
    • (1998) Phys. Rev. Lett. , vol.80 , Issue.9 , pp. 1800-1803
    • Resta, R.1
  • 28
    • 0034670903 scopus 로고    scopus 로고
    • Comparison of the convergence properties of linear-scaling electronic-structure schemes for nonorthogonal bases
    • Stephan U. Comparison of the convergence properties of linear-scaling electronic-structure schemes for nonorthogonal bases. Phys. Rev. B. 62:(24):2000;16 412-16 424.
    • (2000) Phys. Rev. B , vol.62 , Issue.24
    • Stephan, U.1
  • 29
    • 0037197255 scopus 로고    scopus 로고
    • Density functional theory for efficient ab initio molecular dynamics simulations in solution
    • Fattebert J.-L., Gygi F. Density functional theory for efficient ab initio molecular dynamics simulations in solution. J. Comput. Chem. 23:2002;662-666.
    • (2002) J. Comput. Chem. , vol.23 , pp. 662-666
    • Fattebert, J.-L.1    Gygi, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.