Spin nematic phase in (quasi-)one-dimensional frustrated magnet in strong magnetic field

Details Spin nematic phase in (quasi-)one-dimensional frustrated magnet in strong magnetic field Spin nematic phase in (quasi-)one-dimensional frustrated magnet in strong magnetic field

2012-04-23

arxiv.org/abs/1204.4983v1

Physics

Condensed Matter

Strongly Correlated Electrons

18 pages, 7 figures

Scientific paper

We discuss spin-$\frac12$ one-dimensional (1D) and quasi-1D magnets with competing ferromagnetic nearest-neighbor $J_1$ and antiferromagnetic next-nearest-neighbor $J$ exchange interactions in strong magnetic field $H$. It is well known that due to attraction between magnons quantum phase transitions (QPTs) take place at $H=H_s$ from the fully polarized phase to nematic ones at $J>|J_1|/4$. Such a transition at $J>0.368|J_1|$ is characterized by softening of the two-magnon bounding states spectrum. We propose a bosonic representation of the spin Hamiltonian containing, aside from bosons describing one-magnon spin-1 excitations, a boson describing spin-2 excitations which spectrum coincides at $H\ge H_s$ with the two-magnon bounding states spectrum obtained before. The presence of the bosonic mode in the theory that softens at $H=H_s$ makes substantially standard the QPT consideration. In 1D case at $H

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