6533b7d8fe1ef96bd126a189

RESEARCH PRODUCT

Structural phase transitions on the nanoscale: The crucial pattern in the phase-change materialsGe2Sb2Te5and GeTe

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Phase-change materials are of immense importance for optical recording and computer memory, but the structure of the amorphous phases and the nature of the phase transition in the nanoscale bits pose continuing challenges. Massively parallel density functional simulations have been used to characterize the amorphous structure of the prototype materials ${\mathrm{Ge}}_{2}{\mathrm{Sb}}_{2}{\mathrm{Te}}_{5}$ and GeTe. In both, there is long-ranged order among Te atoms and the crucial structural motif is a four-membered ring with alternating atoms of types $A$ (Ge and Sb) and $B$ (Te), an ``$ABAB$ square.'' The rapid amorphous-to-crystalline phase change is a reorientation of disordered $ABAB$ squares to form an ordered lattice. There are deviations from the ``$8\ensuremath{-}N$ rule'' for coordination numbers, with Te having near threefold coordination. Ge atoms are predominantly fourfold coordinated, but---contrary to recent speculation---tetrahedral coordination is found in only approximately one-third of the Ge atoms. The average coordination number of Sb atoms is 3.7, and the local environment of Ge and Sb is usually ``distorted octahedral'' with $AB$ separations from $3.2\phantom{\rule{0.3em}{0ex}}\text{to}\phantom{\rule{0.3em}{0ex}}4\phantom{\rule{0.3em}{0ex}}\mathrm{\AA{}}$ in the first coordination shell. The number of $A--A$ bonds is significantly greater in GeTe than in ${\mathrm{Ge}}_{2}{\mathrm{Sb}}_{2}{\mathrm{Te}}_{5}$. Vacancies (voids) in the disordered phases of these materials provide the necessary space for the phase transitions to take place. The vacancy concentration in ${\mathrm{Ge}}_{2}{\mathrm{Sb}}_{2}{\mathrm{Te}}_{5}$ (11.8%) is greater than in GeTe (6.4%), which is consistent with the better phase-change performance of the former.