| 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 |
