Abstract
The density matrix approach to the constitutive relation between electric fields and the current density in organic polymers is compatible with a nonlinear transport equation. The derivation of such an equation is fundamental to any understanding of conduction in submicron devices, in organic polymers and in multiple quantum well structures—which may be considered the ultimate submicron devices—and also to understanding the nonlinear optical properties of those same polymers and materials. As a theoretical platform for such a derivation, physical models are introduced based on the long Josephson junction and the nonlinear line of pendula. A nonlinear transport equation is presented based on a density matrix formalism and a nonlinear Hamiltonian for charge transport in organic conductors. The equation can describe both local and displacive transitions and gives a physically intuitive picture of the concept of off-diagonal long-range order and Bose-Einstein condensation.
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Barrett, T.W. (1987). Nonlinear Physics of Electronic and Optical Materials for Submicron Device Applications. In: Barrett, T.W., Pohl, H.A. (eds) Energy Transfer Dynamics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-71867-0_5
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DOI: https://doi.org/10.1007/978-3-642-71867-0_5
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