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arXiv:cond-mat/0011439 · Springer eBooks

Dynamical Properties of One Dimensional Mott Insulators

Davide Controzzi, Fabian H. L. Eßler, Alexei M. Tsvelik

Published Jan 1, 2001• 6 citations
arXivHTMLPDF
DOI
10.1007/978-94-010-0838-9_2

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We investigate the dynamics of the one-dimensional strongly repulsive spin-1/2 Bose-Hubbard model for filling nu <or= 1. While at nu=1 the system is a Hubbard-Mott insulator exhibiting dynamical properties of the Heisenberg ferromagnet, at nu<1 it is a ferromagnetic liquid with complex spin dynamics. We find that close to the insulator-liquid transition the system admits for a complete separation of spin and density degrees of freedom valid at all energy and momentum scales within the t-J approximation. This allows us to derive the propagator of transverse spin waves and the shape of the magnon peak in the dynamic spin structure factor.