Multi-magnon bound states in the frustrated ferromagnetic 1D chain

Details Multi-magnon bound states in the frustrated ferromagnetic 1D chain Multi-magnon bound states in the frustrated ferromagnetic 1D chain

2007-08-06

arxiv.org/abs/0708.0701v1

Phys. Rev. B 76, 060407(R) (2007)

Physics

Condensed Matter

Other Condensed Matter

5 pages, 3 figures

Scientific paper

10.1103/PhysRevB.76.060407

We study a one-dimensional Heisenberg chain with competing ferromagnetic nearest-neighbor and antiferromagnetic next-nearest neighbor interactions in magnetic field. Starting from the fully polarized high-field state, we calculate the dispersions of the lowest-lying $n$-magnon excitations and the saturation field (n=2,3,4). We show that the lowest-lying excitations are always bound multi-magnon states with a total momentum of $\pi$ except for a small parameter range. We argue that bose condensation of the bound $n$ magnons leads to novel Tomonaga-Luttinger liquids with multi-polar correlations; nematic and triatic ordered liquids correspond to n=2 and n=3.

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