Nonlinear ac conductivity of one-dimensional Mott insulators
Abstract
We discuss a semiclassical calculation of low energy charge transport in one-dimensional (1d) insulators with a focus on Mott insulators, whose charge degrees of freedom are gapped due to the combination of short range interactions and a periodic lattice potential. Combining RG and instanton methods, we calculate the nonlinear ac conductivity and interpret the result in terms of multi-photon absorption. We compare the result of the semiclassical calculation for interacting systems to a perturbative, fully quantum mechanical calculation of multi-photon absorption in a 1d band insulator and find good agreement when the number of simultaneously absorbed photons is large.
Cite
@article{arxiv.0802.2949,
title = {Nonlinear ac conductivity of one-dimensional Mott insulators},
author = {Bernd Rosenow},
journal= {arXiv preprint arXiv:0802.2949},
year = {2009}
}
Comments
Dedicated to Thomas Nattermann on the occasion of his 60th birthday. To appear in JSTAT. 5 pages, 2 figures