Dai Dadi, Whangbo Myung-Hwan
Department of Chemistry, North Carolina State University, Raleigh, North Carolina 27695-8204, USA.
J Chem Phys. 2004 Jul 8;121(2):672-80. doi: 10.1063/1.1760749.
Geometric spin frustration (GSF) in isolated plaquettes with local spin s, i.e., an equilateral-triangle spin trimer and a regular-tetrahedron spin tetramer, was examined on the basis of classical spin and quantum-mechanical descriptions to clarify their differences and similarities. An analytical proof was given for how the state degeneracy and the total spin S of their ground states depend on the local spin s. The quantum-mechanical conditions for the occurrence of GSF in isolated plaquettes were clarified, and their implications were explored. Corner sharing between plaquettes and how it affects GSF in the resulting spin systems was examined.
基于经典自旋和量子力学描述，研究了具有局域自旋(s)的孤立小平面中的几何自旋阻挫（GSF），即等边三角形自旋三聚体和正四面体自旋四聚体，以阐明它们的异同。给出了关于它们基态的态简并度和总自旋(S)如何依赖于局域自旋(s)的解析证明。阐明了孤立小平面中发生GSF的量子力学条件，并探讨了其含义。研究了小平面之间的角共享及其对所得自旋系统中GSF的影响。
