151. Density of Neutral Solitons in Weakly Disordered Peierls Chains
- Author
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Maxim Mostovoy, Marc Thilo Figge, Jasper Knoester, and Zernike Institute for Advanced Materials
- Subjects
Physics ,SCHRIEFFER-HEEGER MODEL ,CONTINUUM MODEL ,Condensed matter physics ,Hubbard model ,Condensed Matter (cond-mat) ,INSTABILITY ,Degenerate energy levels ,FOS: Physical sciences ,Single chain ,Condensed Matter ,QUANTUM-LATTICE MOTION ,Instability ,Electron hopping ,Amplitude ,SYSTEMS ,OPTICAL-ABSORPTION ,Lattice (order) ,CONDUCTING POLYMERS ,HUBBARD MODEL ,Condensed Matter::Strongly Correlated Electrons ,TRANS-POLYACETYLENE ,Ground state ,CONJUGATED POLYMERS ,Nonlinear Sciences::Pattern Formation and Solitons - Abstract
We study the effects of weak off-diagonal disorder on Peierls systems with a doubly degenerate ground state. We show that for these systems disorder in the electron hopping amplitudes induces a finite density of solitons in the minimal-energy lattice configuration of a single chain. These disorder-induced dimerization kinks are neutral and have spin 1/2. Using a continuum model for the Peierls chain and treating the lattice classically, we analytically calculate the average free energy and density of kinks. We compare these results to numerical calculations for a discrete model and discuss the implications of the kinks for the optical and magnetic properties of the conjugated polymer trans-polyacetylene., 28 pages, revtex, 5 Postscript figures, to appear in Phys. Rev. B
- Published
- 1997