Incommensurate Phase of a Triangular Frustrated Heisenberg Model Studied via Schwinger-Boson Mean-Field Theory

Details Incommensurate Phase of a Triangular Frustrated Heisenberg Model Studied via Schwinger-Boson Mean-Field Theory Incommensurate Phase of a Triangular Frustrated Heisenberg Model Studied via Schwinger-Boson Mean-Field Theory

2009-06-29

arxiv.org/abs/0906.5235v1

J. Phys.: Condens. Matter 21 (2009) 326005

Physics

Condensed Matter

Strongly Correlated Electrons

9pages, 3figures

Scientific paper

10.1088/0953-8984/21/32/326005

We study a triangular frustrated antiferromagnetic Heisenberg model with nearest-neighbor interaction $J_{1}$ and third-nearest-neighbor interactions $J_{3}$ by means of Schwinger-boson mean-field theory. It is shown that an incommensurate phase exists in a finite region in the parameter space for an antiferromagnetic $J_{3}$ while $J_{1}$ can be either positive or negtaive. A detailed solution is presented to disclose the main features of this incommensurate phase. A gapless dispersion of quasiparticles leads to the intrinsic $T^{2}$-law of specific heat. The local magnetization is significantly reduced by quantum fluctuations (for S=1 case, a local magnetization is estimated as $m= \approx0.6223$). The magnetic susceptibility is linear in temperature at low temperatures. We address possible relevance of these results to the low-temperature properties of NiGa$_{2}$S$_{4}$. From a careful analysis of the incommensurate spin wave vector, the interaction parameters for NiGa$_{2}% $S$_{4}$ are estimated as, $J_{1}\approx-3.8755$K and $J_{3}\approx14.0628$K, in order to account for the experimental data.

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