Shastry, B. S. (1983) Some exact results for a model of Peierls dimerisation and solitonic excitations with non-integral charge Journal of Physics A: Mathematical and General, 16 (9). p. 2049. ISSN 0305-4470
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Official URL: http://iopscience.iop.org/0305-4470/16/9/027
Related URL: http://dx.doi.org/10.1088/0305-4470/16/9/027
Abstract
Nonlinear difference equations are derived for a model of Peierls dimerisation and non-integral charges proposed by Su, Schrieffer and Heeger (1979). The dimerised state is shown to satisfy these exactly. A continuum model is obtained from the discrete model by approximating the fermion spectrum and imposing a cut-off to retain the correct number of degrees of freedom. The continuum model with periodic boundary conditions is solved exactly for an arbitrary number of solitonic excitations. The possibility of recovering solutions of the discrete model are discussed, using the solution to study completeness properties.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Institute of Physics. |
| ID Code: | 50825 |
| Deposited On: | 27 Jul 2011 13:13 |
| Last Modified: | 27 Jul 2011 13:13 |
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