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Hard-core boson approach to the spin-1/2 triangular-lattice antiferromagnet Cs_2CuCl_4 at finite temperatures in magnetic fields higher than the saturation field

机译:在高于饱和磁场的有限温度下,对自旋1/2三角形晶格反铁磁体Cs_2CuCl_4的硬核玻色子方法

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We study the high magnetic field regime of the antiferromagnetic insulator Cs_2CuCl_4 by expressing the spin-1/2 operators in the relevant Heisenberg model in terms of hard-core bosons and implementing the hardcore constraint via an infinite on-site interaction. We focus on the case where the external magnetic field exceeds the saturation field B_c ≈ 8.5 T and is oriented along the crystallographic a axis perpendicular to the lattice plane. Because in this case the excited states are separated by an energy gap from the ground state, we may use the self-consistent ladder approximation to take the strong correlations due to the hard-core constraint into account. In Cs_2CuCl_4, there are additional interactions besides the hard-core interaction which we treat in self-consistent Hartree-Fock approximation. We calculate the spectral function of the hard-core bosons from which we obtain the in-plane components of the dynamic structure factor, the magnetic susceptibility, and the specific heat. Our results for the specific heat are in good agreement with the available experimental data. We conclude that the self-consistent ladder approximation in combination with a self-consistent Hartree-Fock decoupling of the non-hard-core interactions gives an accurate description of the physical properties of gapped hard-core bosons in two dimensions at finite temperatures.
机译:我们通过在相关的海森堡模型中以硬核玻色子表示自旋1/2算子并通过无限的现场相互作用实现硬核约束,从而研究了反铁磁绝缘体Cs_2CuCl_4的高磁场状态。我们关注外部磁场超过饱和场B_c≈8.5 T并沿晶体学方向垂直于晶格平面的轴的情况。因为在这种情况下,激发态与基态之间相距一个能隙,所以我们可以使用自洽阶梯近似来考虑由于硬核约束而引起的强相关性。在Cs_2CuCl_4中,除了硬核相互作用外,还有其他相互作用,我们以自洽Hartree-Fock近似进行处理。我们计算了硬核玻色子的谱函数,从中我们可以获得动态结构因子,磁化率和比热的面内分量。我们的比热结果与可用的实验数据高度吻合。我们得出结论,自洽梯形近似与非铁心相互作用的自洽Hartree-Fock解耦相结合,给出了有限温度下二维带隙核子玻色子物理性质的准确描述。

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