The frustration phenomenon in an exactly solvable spin-electron planar model constituted by identical bipyramidal plaquettes is discussed within the Toulouse’s and dos Santos and Lyra’s frustration concepts. It is shown that the ground state of the model contains the unfrustrated spontaneously ordered quantum ferromagnetic phase with local chiral degrees of freedom in the electron sub-lattice and the disordered quantum one, where both the Ising and electron sub-lattices are frustrated. The frustration of the latter sub-lattice persists at finite temperatures, but only in the disordered region. It finally vanishes at a certain frustration temperature. The reentrant behaviour of the frustration in the electron sub-lattice with three consecutive frustration temperatures due to a competition with the unfrustrated ferromagnetic spin arrangement near the ground-state phase transition can also be observed.

在图卢兹和多斯桑托斯和莱拉的挫折概念中讨论了由相同的双锥体斑块构成的完全可解的自旋电子平面模型中的挫折现象。结果表明，模型的基态包含在电子子晶格和无序量子晶格中具有局部手征自由度的不受阻碍的自发有序量子铁磁相，其中 Ising 和电子子晶格都受挫。后一个子晶格的受挫在有限温度下持续存在，但仅在无序区域中存在。它最终在某个挫折温度下消失。