Non-linear excitations in 1D correlated insulators

Details Non-linear excitations in 1D correlated insulators Non-linear excitations in 1D correlated insulators

2001-05-13

arxiv.org/abs/cond-mat/0105249v1

Physics

Condensed Matter

Strongly Correlated Electrons

29 pages

Scientific paper

10.1080/13642810110061466

In this work we investigate charge transport in one-dimensional (1D) insulators via semi-classical and perturbative renormalization group (RG) methods. We consider the problem of electron-electron, electron-phonon and electron-two-level system interactions. We show that non-linear collective modes such as polarons and solitons are reponsible for transport. We find a new excitation in the Mott insulator: the polaronic soliton. We discuss the differences between band and Mott insulators in terms of their spin spectrum and obtain the charge and spin gaps in each one of these systems. We show that electron-electron interactions provide strong renormalizations of the energy scales in the problem.

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