Multiscale simulations in simple metals: A density-functional-based methodology

We present a formalism for coupling a density-functional-theory-based quantum simulation to a classical simulation for the treatment of simple metallic systems. The formalism is applicable to multiscale simulations in which the part of the system requiring quantum-mechanical treatment is spatially confined to a small region. Such situations often arise in physical systems where chemical interactions in a small region can affect the macroscopic mechanical properties of a metal. We describe how this coupled treatment can be accomplished efficiently, and we present a coupled simulation for a bulk aluminum system.

[1]  P. Hohenberg,et al.  Inhomogeneous Electron Gas , 1964 .

[2]  Efthimios Kaxiras,et al.  Kinetic energy density functionals for non-periodic systems , 2002 .

[3]  Jorge Nocedal,et al.  On the limited memory BFGS method for large scale optimization , 1989, Math. Program..

[4]  W. Cai,et al.  Minimizing boundary reflections in coupled-domain simulations. , 2000, Physical review letters.

[5]  E Weinan,et al.  A dynamic atomistic-continuum method for the simulation of crystalline materials , 2001 .

[6]  Steven D. Schwartz,et al.  Theoretical methods in condensed phase chemistry , 2002 .

[7]  James B. Adams,et al.  Interatomic Potentials from First-Principles Calculations: The Force-Matching Method , 1993, cond-mat/9306054.

[8]  Jacobsen,et al.  Interatomic interactions in the effective-medium theory. , 1987, Physical review. B, Condensed matter.

[9]  Smargiassi,et al.  Orbital-free kinetic-energy functionals for first-principles molecular dynamics. , 1994, Physical review. B, Condensed matter.

[10]  R. Freund,et al.  QMR: a quasi-minimal residual method for non-Hermitian linear systems , 1991 .

[11]  Richard J. Needs,et al.  A pseudopotential total energy study of impurity-promoted intergranular embrittlement , 1990 .

[12]  David L. Olmsted,et al.  Lattice resistance and Peierls stress in finite size atomistic dislocation simulations , 2000, cond-mat/0010503.

[13]  Cortona,et al.  Self-consistently determined properties of solids without band-structure calculations. , 1991, Physical review. B, Condensed matter.

[14]  M. J. Stott,et al.  Surface structure of liquid Li and Na: an ab initio molecular dynamics study. , 2004, Physical review letters.

[15]  J. Q. Broughton,et al.  Concurrent coupling of length scales: Methodology and application , 1999 .

[16]  Chacón,et al.  Nonlocal kinetic-energy-density functionals. , 1996, Physical review. B, Condensed matter.

[17]  Tarazona,et al.  Nonlocal kinetic energy functional for nonhomogeneous electron systems. , 1985, Physical review. B, Condensed matter.

[18]  Michele Parrinello,et al.  Simulation of gold in the glue model , 1988 .

[19]  Emily A. Carter,et al.  Accurate ab initio energetics of extended systems via explicit correlation embedded in a density functional environment , 1998 .

[20]  P. Madden,et al.  Structure and dynamics at the aluminum solid–liquid interface: An ab initio simulation , 2000 .

[21]  M. Baskes,et al.  Embedded-atom method: Derivation and application to impurities, surfaces, and other defects in metals , 1984 .

[22]  Efthimios Kaxiras,et al.  A QM/MM Implementation of the Self-Consistent Charge Density Functional Tight Binding (SCC-DFTB) Method , 2001 .

[23]  Daw Model of metallic cohesion: The embedded-atom method. , 1989, Physical review. B, Condensed matter.

[24]  W. Kohn,et al.  Self-Consistent Equations Including Exchange and Correlation Effects , 1965 .