Stability of the hard-sphere icosahedral quasilattice
H. M. Cataldo, C. F. Tejero

TL;DR
This paper investigates the stability of the hard-sphere icosahedral quasilattice using a differential formulation of the generalized effective liquid approximation, revealing its metastability compared to crystal structures.
Contribution
It applies a differential formulation of the generalized effective liquid approximation to analyze the stability of the icosahedral quasilattice, confirming its metastability.
Findings
The icosahedral quasilattice is metastable relative to crystal structures.
Results align with previous studies using the modified weighted density approximation.
Abstract
The stability of the hard-sphere icosahedral quasilattice is analyzed using the differential formulation of the generalized effective liquid approximation. We find that the icosahedral quasilattice is metastable with respect to the hard-sphere crystal structures. Our results agree with recent findings by McCarley and Ashcroft [Phys. Rev. B {\bf 49}, 15600 (1994)] carried out using the modified weighted density approximation.
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