J. Haglund et al., ABINITIO METHOD FOR BAND-STRUCTURE CALCULATIONS ON STRUCTURALLY DISORDERED MATERIALS - VIBRATIONAL PROPERTIES OF 4D TRANSITION-METALS, Physical review. B, Condensed matter, 47(15), 1993, pp. 9279-9288
An approximate method for electron band-structure calculations on stru
cturally disordered materials is presented. Our approach is essentiall
y a linear-muffin-tin-orbital calculation in which the structure matri
x of a disordered supercell is reduced to the size of one atom per uni
t cell through an averaging procedure. Potential fluctuations are incl
uded by treating Madelung shifts as perturbations. A lattice of atoms
with uncorrelated displacements is studied, and we show how total-ener
gy results should be compared with experimental thermodynamic informat
ion. In particular, we expect an almost quasiharmonic behavior for cal
culated thermodynamic properties. We use our method to calculate Debye
temperatures THETA(D) for all 4d transition metals from Zr to Pd in t
he bcc, fcc, and hcp structures, and we discuss the physical reasons f
or variations in THETA(D). Anharmonic effects are studied by determini
ng thermal expansions and bulk moduli as functions of temperature. Bei
ng an ab initio calculation, our results are in very good agreement wi
th experiment. Electronic energy spectra at finite temperatures are pr
esented and we comment on similarities with previous results on liquid
transition metals.