Solitons In Trans Research Articles

ELECTRON CORRELATION IN ONE-DIMENSIONAL CONDUCTING POLYMERS (11111111) NEUTRAL SOLITON

In this paper, electron-electron correlation in one-dimensional conducting polyers is studied in detail. A new idea, i.e., that of "over-average interaction amoug eltctrons", is introduced. By considering the nearest-neighbor interactions, and on-sitt, site-site, site-bond, and on-bond terms a model Hamilitonian is proposed. The calculated numerical results are in good agreement with that of the optical absorption experiments and the ENDOR experiments on the neutral soliton in trans-(CH)x.

New localized electronic states of soliton in trans-(CH)X

It is well known that the soliton in trans-(CH)X possesses a localized electronic state at the center of the gap. Besides this mid-gap state, we have found that, there exist another four localized electronic states around the soliton. They form four discrete levels outside the conduction and valence bands: one sits near the bottom edge of the conduction band and one near the top edge of the conduction band; another two are located symmetrically near the valence band.

Interchain photogeneration of charged solitons in trans-(CH)x.

A Comment on the Letter by L. Rothberg, T. M. Jedju, S. Etemad, and G. L. Baker, Phys. Rev. Lett. 57, 3229 (1986).Received 12 January 1987DOI:https://doi.org/10.1103/PhysRevLett.58.1282©1987 American Physical Society

Diffusive motion of solitons in trans-polyacetylene

Abstract Diffusive motion of a soliton in trans -polyacetylene is studied theorerically within the adiabatic approximation of the Takayama, Lin-Liu, and Maki model. The collective coordinate method is applied to investigate the interaction between the soliton and classical phonons. There are two mechanisms which lead to the diffusive motion. Their contributions can be distinguished when the dynamical diffusion coefficient D(w) and the friction function Г(w) are studied. They are calculated in the low temperature region. Quantum corrections and possible other effects are also discussed.

Infrared activity of phonons around a soliton in trans-polyacetylene

Abstract The dynamical conductivity due to phonons around a charged soliton in trans -polyacetylene is calculated, using three kinds of models: the Takayama-Lin-Liu-Maki (TML) model, the Su-Schrieffer-Heeger (SSH) model, and the multi-phonon-band model. In the TLM model, two of the three localized modes, i.e. the Goldstone mode and the third localized mode, are found to be infrared (ir) active. These modes are found also in the SSH model to contribute to the optical absorption, while the staggered localized mode yields no contribution to the conductivity. In the last model, three weak ir modes, which have their origins in the third localized mode, are found in addition to the already known three intense ones. The vibrational frequencies and relative optical intensities agree well with a recent photo-induced absorption experiment. The isotope effect on the absorption spectrum is also discussed.

The localized vibrational modes of soliton in trans-(CH)X

Starting from SSH model of trans-(CH)x with finite length, all the localized vibrational modes of soliton have been figured out and the total number is found to be five. The first three coincide with those obtained in TLM model. Another two are new findings, the fourth is odd mode with three nodes and the fifth is a staggered mode with even parity.

The infrared active localized modes of soliton in trans-(CH) x

Abstract Five localized vibrational modes have been found for the soliton in a finite ring of trans -(CH) x from the SSH model, among them three are infrared active, i.e. Goldstone, third and staggered mode, and they can be used to interpret the three observed infrared absorption lines at 900, 1260 and 1370 cm -1 .

Excitation Profile for Photogeneration of Solitons intrans-(CH)x

The excitation profile for solitons in trans-${(\mathrm{CH})}_{x}$ was determined by measuring the strength of the photoinduced absorption as a function of the photogeneration source. The results demonstrate soliton photoproduction at energies well below the principal interband absorption edge. These data prove that charged soliton-antisoliton pairs are photogenerated directly (threshold $\ensuremath{\hbar}\ensuremath{\omega}=\frac{4\ensuremath{\Delta}}{\ensuremath{\pi}}$) assisted by quantum fluctuations in the ground state, as well as indirectly at higher energies ($\ensuremath{\hbar}\ensuremath{\omega}>~2\ensuremath{\Delta}$) via structural relaxation around electron-hole excitations.

Magnetic Resonance as a Probe of Anisotropic Conductors

ABSTRACTA review is given of the wide range of magnetic resonance methods used to study the special properties of quasi onedimensional (1-d) conductors. Specific examples are presented which show how magnetic resonance methods have been exploited (a) to tell if the conduction is 1-d, (b) to locate the conduction electrons on a molecular distance scale, (c) to probe the unusual effects of disorder in 1-d conductors, (d) to study the charge density wave transition, and (e) to verify exotic electrical transport mechanisms, such as charged solitons in trans-(CH)x.