Nonlinear lattice dynamics in two dimensions

Update Item Information
Publication Type Journal Article
School or College College of Science
Department Physics
Creator Mattis, Daniel C.
Title Nonlinear lattice dynamics in two dimensions
Date 1983-04
Description In general, dynamical and quantum-mechanical properties of anharmonic lattices are best expressed in terms of bond variables. A transformation from atomic (site) to bond coordinates is generated in two dimensions, with the help of a number of subsidiary conditions expressed on plaquettes. It is shown that these commute with the Hamiltonian and yield a number of zero-energy modes. With the use of this trick, two-dimensional problems are now only slightly more difficult to study than the one-dimensional analogs. We discuss some exact results.
Type Text
Publisher American Physical Society
Journal Title Physical Review B
Volume 27
Issue 8
First Page 5158
Last Page 5161
DOI 10.1103/PhysRevB.27.5158
citatation_issn 0163-1829
Subject Phonons; Plaquettes; Harmonic oscillators; Ferromagnets
Subject LCSH Lattice dynamics; Electron-phonon interactions; Magnetism, Band theory of; Antiferromagnetism
Language eng
Bibliographic Citation Mattis, D. C. (1983). Nonlinear lattice dynamics in two dimensions. Physical Review B, 27(8), April, 5158-61.
Rights Management (c) American Physical Society http://dx.doi.org/10.1103/PhysRevB.27.5158
Format Medium application/pdf
Format Extent 97,377 bytes
Identifier ir-main,7977
ARK ark:/87278/s6r21jrw
Setname ir_uspace
ID 705017
Reference URL https://collections.lib.utah.edu/ark:/87278/s6r21jrw
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