Abstract
A defect description of liquids and metallic glasses is developed. In two dimensions, surfaces of constant negative curvature contain an irreducible density of point disclinations in a hexatic order parameter. Analogous defect lines in an icosahedral order parameter appear in three-dimensional flat space. Frustration in tetrahedral particle packings forces disclination lines into the medium in a way reminiscent of Abrikosov flux lines in a type-II superconductor and of uniformly frustrated spin-glasses. The defect density is determined by an isotropic curvature mismatch, and the resulting singular lines run in all directions. The Frank-Kasper phases of transition-metal alloys are ordered networks of these lines, which, when disordered, provide an appealing model for structure in metallic glasses.
Keywords
FrustrationDisclinationCondensed matter physicsIcosahedral symmetryCurvatureMaterials scienceIsotropyGeometrical frustrationTetrahedronSpin (aerodynamics)PhysicsLiquid crystalQuantum mechanicsGeometryThermodynamics
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Publication Info
- Year
- 1983
- Type
- article
- Volume
- 28
- Issue
- 10
- Pages
- 5515-5535
- Citations
- 547
- Access
- Closed
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Cite This
David R. Nelson
(1983).
Order, frustration, and defects in liquids and glasses.
Physical review. B, Condensed matter
, 28
(10)
, 5515-5535.
https://doi.org/10.1103/physrevb.28.5515
Identifiers
- DOI
- 10.1103/physrevb.28.5515