Short-Range Versus Long-Range Order in a Model Binary Alloy
- 5 July 1971
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 27 (1) , 42-45
- https://doi.org/10.1103/physrevlett.27.42
Abstract
We calculate the free energy of a linear binary metallic alloy using an exact transfer-matrix formalism. We obtain for the first time the electronic band structure when there is nonvanishing short-range order and calculate the temperature dependence of the short-range order parameter. Following Foo and Amar, we also introduce long-range order via two sublattices, but we find this necessarily raises the free energy. We conclude that the first-order phase transition of Foo and Amar is spurious, being an artifact of their assumption of long-range order and neglect of short-range order.Keywords
This publication has 4 references indexed in Scilit:
- Order-Disorder Phase Transition in Binary Alloys—Coherent Potential ApproximationPhysical Review Letters, 1970
- Electronic Structure of One-Dimensional Binary AlloysPhysical Review B, 1968
- The vibrational spectrum of a disordered linear systemProceedings of the Physical Society, 1964
- Disordered One-Dimensional CrystalsPhysical Review B, 1957