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首页> 外文期刊>Zeitschrift fur Physik, B. Condensed Matter >First excitations of the spin 1/2 Heisenberg antiferromagnet on the kagome lattice
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First excitations of the spin 1/2 Heisenberg antiferromagnet on the kagome lattice

机译：Kagome晶格上自旋1/2 Heisenberg反铁磁体的首次激发

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摘要

We study the exact low energy spectra of the spin 1/2 Heisenberg antiferromagnet on small samples of the kagome lattice of up to N = 36 sites. In agreement with the conclusions of previous authors, we find that these low energy spectra contradict the hypothesis of Neel type long range order. Certainly, the ground state of this system is a spin liquid, but its properties are rather unusual. The magnetic (△S = 1) excitations are separated from the ground state by a gap. However, this gap is filled with nonmagnetic (△S = 10) excitations. In the thermodynamic limit the spectrum of these nonmagnetic excitations will presumably develop into a gapless continuum adjacent to the ground state. Surprisingly, the eigenstates of samples with an odd number of sites, i.e. samples with an unsaturated spin, exhibit symmetries which could support long range chiral order. We do not know if these states will be true thermodynamic states or only metastable ones. In any case, the low energy properties of the spin 1/2 Heisenberg antiferromagnet on the kagome lattice clearly distinguish this system from either a short range RVB spin liquid or a standard chiral spin liquid. Presumably they are facets of a generically new state of frustrated two-dimensional quantum antiferromagnets.
机译：我们研究了自旋1/2海森堡反铁磁体在N = 36个位点的小孔形晶格样品上的精确低能谱。与以前的作者的结论一致，我们发现这些低能谱与Neel型远距离有序假设相矛盾。当然，该系统的基态是自旋液体，但其性质非常不寻常。磁激发（△S = 1）与基态之间存在间隙。但是，这个间隙充满了非磁性（△S = 10）激发。在热力学极限中，这些非磁性激发的光谱可能会发展成与基态相邻的无间隙连续体。令人惊讶地，具有奇数个位点的样品的本征态，即具有不饱和自旋的样品，呈现出可以支持长距离手性有序的对称性。我们不知道这些状态是真正的热力学状态还是仅是亚稳态。在任何情况下，kagome晶格上自旋1/2的海森堡反铁磁体的低能特性清楚地将此系统与短程RVB自旋液体或标准手性自旋液体区分开。大概它们是沮丧的二维量子反铁磁体的一般新状态的方面。

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