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Soliton excitations in polyacetylene
Abstract
A theoretical analysis of the excitation spectrum of long-chain polyenes is presented. Because of the twofold degeneracy of the ground state of the dimerized chain, elementary excitations corresponding to topological solitons are obtained. The solitons can have three charge states $Q=0$. $\ifmmode\pm\else\textpm\fi{}e$. The neutral soliton has spin one-half while the charged solitons have spin zero. One electronic state is localized at the gap center for each soliton or antisoliton present. The soliton's energy of formation, length, mass, activation energy for motion, and electronic properties are calculated. These results are compared with experiment.
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Cited by
The electronic properties of graphene
Castro Neto, A. H., Guinea, F., Peres, N. M. R., Novoselov, K. S., & Geim, A. K. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.109 · Cited by 24,803
“…and, as in the Figure 12 (Color online) Sket h of the three inequivalent ori-entations of graphene layers with respe t to ea h other. ase of other arbon based systems su h as polya ethy-lene (Su et al., 1979, 1980), it an lead to soliton-likeex itations (Hou et al., 2007; Ja kiw and Rebbi, 1976).”
BackgroundNon-Abelian anyons and topological quantum computation
Nayak, C., Simon, S. H., Stern, A., Freedman, M., & Das Sarma, S. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.1083 · Cited by 6,861
Superconducting Proximity Effect and Majorana Fermions at the Surface of a Topological Insulator
Fu, L., & Kane, C. L. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.096407 · Cited by 4,868
Classification of topological quantum matter with symmetries
Chiu, C.-K., Teo, J. C. Y., Schnyder, A. P., & Ryu, S. (2016) · Reviews of Modern Physics · doi:10.1103/revmodphys.88.035005 · Cited by 2,736
Quantization of particle transport
Thouless, D. J. (1983) · Physical Review B · doi:10.1103/physrevb.27.6083 · Cited by 1,767
Metadata
- Authors
- Su, W. P., Schrieffer, J. R., & Heeger, A. J.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1980-08-15
- Volume
- 22
- Issue
- 4
- Pages
- 2099-2111
- ISSN
- 0163-1829 (ISSN-L)
- OpenAlex
- W2062089197
- Cited by
- 3,143
- References
- 0
- FWCI
- 102.74
- Type
- journal article
- Language
- en
- Open access
- closed
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- Su, W. P., Schrieffer, J. R., & Heeger, A. J. (1980). Soliton excitations in polyacetylene. Physical Review B. https://doi.org/10.1103/physrevb.22.2099
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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