Polaron motion dynamics

In summary, using the electron—lattice dynamics theory, we have been able to explore the details of the intrachain polaron motion. In particular, we have shown that the velocity of the polaron can exceed the sound velocity of the system. This is achieved by the decoupling of acoustic phonons from the polaron. With this knowledge about the intrachain behavior of the polaron dynamics, we will now go on to discuss the interchain transport of polarons. 

The polydiacetylene crystals (1-4) most strikingly corroborate these conjectures. Along this line of thought is also shown that this electron-phonon interaction is intimately interwoven with the polymerisation process in these materials and plays a profound role there. We make the conjecture that this occurs through the motion of an unpaired electron in a non-bonding p-orbital dressed with a bending mode and guided by a classical intermolecular mode. Such a polaron type diffusion combined with the theory of non radiative transitions explains the essentials of the spectral characteristics of the materials as well as their polymerisation dynamics. ... 

The frequency dependence of NMR SLR time is a powerful method to study the spin dynamics in CPs.107 They reveal the microscopic dynamics of the charge carrier, polaron or conduction electrons. Therefore, interpretation of the NMR relaxation rate is useful, but difficult as other additional mechanisms like the localized paramagnetic centres and molecular motions of reorienting symmetric groups also make considerable contributions to the NMR Tj. 

Case b. Here, dynamical disorder effects are large compared to the transfer Hamiltonian 3Cl and the effects of static disorder are zero or very small. In this limit, the effects of lattice vibrations must be included in forming the initial basis states this results in a renormalization of the carrier effective mass and alters the bare intermolecular interactions (Jnm) The quasiparticle after inclusion of lattice effects is called a polaron. Its motion through the lattice is generally viewed as a series of local hops between lattice sites. For hopping polaron transport (2, p. 356)... 

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