AI 中文总结
介绍超行列式波函数这一变分波函数框架，用于强关联量子物质态，推广了费米子部分子结构，能直观研究分数化自由度等，还展示了其在分数量子霍尔绝缘体和量子自旋液体中的应用。
AI 中文摘要
我们系统地引入超行列式波函数，作为基于变分波函数的强关联量子物质态理论框架，并介绍实用数值模拟算法。该框架推广了已知的费米子部分子结构，产生具有直观物理图像的可靠微观理论，可直接研究分数化自由度及相关微观有效场论。我们展示了此框架在分数量子霍尔绝缘体和量子自旋液体中的应用。我们指出超行列式态属于更一般的变分波函数类：融合高斯态。
英文摘要
We systematically introduce hyperdeterminant wavefunctions as a variational-wavefunction-based theoretical framework for strongly correlated quantum states of matter, together with practical numerical simulation algorithms. This framework generalizes previously known fermionic parton constructions, yields reliable microscopics with intuitive physical pictures, and allows direct access to the fractionalized degrees of freedom together with associated microscopic effective field theories. We demonstrate the applications of this framework to fractional Chern insulators and quantum spin liquids. We comment that the hyperdeterminant states belong to a more general class of variational wavefunctions: the fused Gaussian states.
Comments81 pages, 17 figures
