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arXiv 0911.2702cond-mat.str-el
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星晶格上海森堡反铁磁体的竞争量子顺磁基态

Competing quantum paramagnetic ground states of the Heisenberg antiferromagnet on the star lattice

Bohm-Jung Yang, Arun Paramekanti, Yong Baek Kim

摘要:

我们研究了二维星格子中海森堡反铁磁体的各种竞争顺磁基态。利用从粒子平均场论结合投影对称群分析,我们研究了该晶格上的各种自旋液体,包括手征自旋液体,自旋子费米面自旋液体,以及破坏晶格旋转对称性的双自旋液体.受大N SU(N)理论以及数值精确对角化研究的启发,我们还研究了这种晶格上的各种价键固体(VBS)态。基于Gutzwiller投影态的能量学研究,我们发现完全带隙的自旋液体态是该模型的最低能量自旋液体候选者。我们还发现,从能量学的研究,使用Gutzwiller投影波函数和键算符的方法,这种自旋液体是不稳定的两个不同的VBS状态-一个VBS状态,尊重所有的哈密顿对称性和VBS状态,表现出$\sqrt{3}\times\sqrt{3}$顺序-取决于两个不等价的键的晶格上的海森堡交换耦合的比例。我们计算的三重子色散在两个VBS状态内的键操作员的方法,并讨论我们的工作可能产生的影响,为未来的实验候选材料。

英文摘要:

We investigate various competing paramagnetic ground states of the Heisenberg antiferromagnet on the two dimensional star lattice which exhibits geometric frustration. Using slave particle mean field theory combined with a projective symmetry group analysis, we examine a variety of candidate spin liquid states on this lattice, including chiral spin liquids, spin liquids with Fermi surfaces of spinons, and nematic spin liquids which break lattice rotational symmetry. Motivated by connection to large-N SU(N) theory as well as numerical exact diagonalization studies, we also examine various valence bond solid (VBS) states on this lattice. Based on a study of energetics using Gutzwiller projected states, we find that a fully gapped spin liquid state is the lowest energy spin liquid candidate for this model. We also find, from a study of energetics using Gutzwiller projected wave functions and bond operator approaches, that this spin liquid is unstable towards two different VBS states -- a VBS state which respects all the Hamitonian symmetries and a VBS state which exhibits $\sqrt{3}\times\sqrt{3}$ order -- depending on the ratio of the Heisenberg exchange couplings on the two inequivalent bonds of the lattice. We compute the triplon dispersion in both VBS states within the bond operator approach and discuss possible implications of our work for future experiments on candidate materials.

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