键代数与哈密顿量的精确可解性：自旋S=1/2多层体系及其它奇异性
Bond Algebras and Exact Solvability of Hamiltonians: Spin S=1/2 Multilayer Systems and Other Curiosities
摘要：
我们介绍了一个代数方法设计精确可解的李模型哈密顿量。这个想法在于寻找由键算子生成的代数。我们说明了这种方法可以应用于解决当前感兴趣的拓扑量子秩序的背景下的许多问题。这些包括Kitaev的复曲面代码和蜂窝模型，矢量交换模型，和Clifford伽马模型的三角晶格。
英文摘要：
We introduce an algebraic methodology for designing exactly-solvable Lie model Hamiltonians. The idea consists in looking at the algebra generated by bond operators. We illustrate how this method can be applied to solve numerous problems of current interest in the context of topological quantum order. These include Kitaev's toric code and honeycomb models, a vector exchange model, and a Clifford gamma model on a triangular lattice.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
