Density of Neutral Solitons in Weakly Disordered Peierls Chains

Details Density of Neutral Solitons in Weakly Disordered Peierls Chains Density of Neutral Solitons in Weakly Disordered Peierls Chains

1997-11-12

arxiv.org/abs/cond-mat/9711107v1

Physics

Condensed Matter

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

Scientific paper

10.1103/PhysRevB.57.2861

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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