Probable absence of a quadrupolar spin-nematic phase in the bilinear-biquadratic spin-1 chain

Details Probable absence of a quadrupolar spin-nematic phase in the bilinear-biquadratic spin-1 chain Probable absence of a quadrupolar spin-nematic phase in the bilinear-biquadratic spin-1 chain

2005-11-03

arxiv.org/abs/cond-mat/0511079v1

Phys. Rev. B 72, 05443 (2005)

Physics

Condensed Matter

Strongly Correlated Electrons

6 pages, 6 figures

Scientific paper

10.1103/PhysRevB.72.054433

We study numerically the ground-state phase diagram of the bilinear-biquadratic spin-1 chain near the ferromagnetic instability point, where the existence of a gapped or gapless nondimerized quantum nematic phase has been suggested. Our results, obtained by a highly accurate density-matrix renormalization-group (DMRG) calculation are consistent with the view that the order parameter characterizing the dimer phase vanishes only at the point where the system becomes ferromagnetic, although the existence of a gapped or gapless nondimerized phase in a very narrow parameter range between the ferromagnetic and the dimerized regimes cannot be ruled out.

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