Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2008-11-17
Phys. Rev. Lett. 103, 110401 (2009)
Physics
Condensed Matter
Other Condensed Matter
4 pages, 2 figures, version accepted for publication in Phys. Rev. Lett
Scientific paper
We investigate the dynamics of the one-dimensional strongly repulsive spin-1/2 Bose-Hubbard model for filling $\nu\le1.$ 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 {\it 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.
Cheianov Vadim V.
Giamarchi Thierry
Zvonarev Mikhail B.
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