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Density of neutral solitons in weakly disordered Peierls chains

1997/11/12 by Maxim Mostovoy, M. V. Mostovoy, Marc Thilo Figge +3 · 1 citation
Physics and Astronomy · #Advanced Fiber Laser Technologies #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #cond-mat

paper · pdf · doi:10.1103/physrevb.57.2861

28 pages, revtex, 5 Postscript figures, to appear in Phys. Rev. B

arxiv created 1997/11/12 · openalex publication_date 1998/02/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

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.

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