论文标题

部分可观测时空混沌系统的无模型预测

Exact Hole-induced Resonating-Valence-Bond Ground State in Certain $U=\infty$ Hubbard Models

论文作者

Kim, Kyung-Su

论文摘要

我们证明,单个孔的运动在$ u = \ u = \ undty $ hubbard模型上引起最近的邻元谐振 - 价值基键状态,这是三角形仙人掌 - kagome lattice的树状变体。结果很容易将其推广到具有抗磁相互作用的$ t-j $模型,同一图上的$ j \ geq 0 $。这是Nagaoka在两部分晶格上的铁磁性定理的薄弱。

We prove that the motion of a single hole induces the nearest-neighbor resonating-valence-bond ground state in the $U=\infty$ Hubbard model on a triangular cactus - a tree-like variant of a kagome lattice. The result can be easily generalized to $t-J$ models with antiferromagnetic interactions $J\geq 0$ on the same graphs. This is a weak converse of Nagaoka's theorem of ferromagnetism on a bipartite lattice.

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