Nonlinear ac conductivity of one-dimensional Mott insulators

Details Nonlinear ac conductivity of one-dimensional Mott insulators Nonlinear ac conductivity of one-dimensional Mott insulators

2008-02-20

arxiv.org/abs/0802.2949v1

Physics

Condensed Matter

Strongly Correlated Electrons

Dedicated to Thomas Nattermann on the occasion of his 60th birthday. To appear in JSTAT. 5 pages, 2 figures

Scientific paper

10.1088/1742-5468/2008/04/P04010

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.

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