Generalized Shastry-Sutherland models in three and higher dimensions
Generalized Shastry-Sutherland models in three and higher dimensions
复制标题
三维及更高维度的广义 Shastry-Sutherland 模型
DOI：
10.1103/physrevb.66.024415
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发表时间：
2001
影响因子：
3.7
通讯作者：
R. Shankar
中科院分区：
文献类型：
--
作者：
N. Surendran;R. Shankar
We construct Heisenberg antiferromagnetic models in arbitrary dimensions that have isotropic valence-bond crystals (VBC's) as their exact ground states. The $d=2$ model is the Shastry-Sutherland model. In the three-dimensional case we show that it is possible to have a lattice structure, analogous to that of ${\mathrm{SrCu}}_{2}({\mathrm{BO}}_{3}{)}_{2},$ where the stronger bonds are associated with shorter bond lengths. A dimer mean-field theory becomes exact at $\stackrel{\ensuremath{\rightarrow}}{d}\ensuremath{\infty}$ and a systematic $1/d$ expansion can be developed about it. We study the N\'eel-VBC transition at large d and find that the transition is first order in even but second order in odd dimensions.
We construct Heisenberg antiferromagnetic models in arbitrary dimensions that have isotropic valence-bond crystals (VBC's) as their exact ground states. The $d=2$ model is the Shastry-Sutherland model. In the three-dimensional case we show that it is possible to have a lattice structure, analogous to that of ${\mathrm{SrCu}}_{2}({\mathrm{BO}}_{3}{)}_{2},$ where the stronger bonds are associated with shorter bond lengths. A dimer mean-field theory becomes exact at $\stackrel{\ensuremath{\rightarrow}}{d}\ensuremath{\infty}$ and a systematic $1/d$ expansion can be developed about it. We study the N\'eel-VBC transition at large d and find that the transition is first order in even but second order in odd dimensions.