Singularities of One- and Two-Dimensional Origin in Three-Dimensional Lattice Spectra
- 15 February 1972
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 5 (4) , 1639-1641
- https://doi.org/10.1103/physrevb.5.1639
Abstract
Recently a new type of singularity has been discovered in the spectrum of an fcc lattice problem with second-neighbor interactions. Arising as a consequence of a surface of analytic critical points, it does not fit into van Hove's classification of the isolated variety. A simple modification of his scheme accommodates this case and predicts further singularities, characteristic of one- and two-dimensional lattices, in three-dimensional model problems. Implications for real materials are discussed.Keywords
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