AI 中文总结
研究三维分数量子霍尔相微观实现难题，利用大角度扭曲范德瓦尔斯多层膜，通过蒙特卡罗计算比较大量试探波函数能量，稳定了特定态，实现非叶状分数量子霍尔序，为量子信息提供资源，确立该多层膜为三维分数霍尔物质平台。
AI 中文摘要
三维分数量子霍尔相提供了超越二维量子霍尔液体简单堆叠的内在高维拓扑序途径。其微观实现一直难以捉摸，因为三维中的朗道量子化通常留下色散的一维能带。本文表明大角度扭曲范德瓦尔斯多层膜提供了绕过这一障碍的实用途径。通过蒙特卡罗计算比较862个竞争试探波函数的能量，发现具有跨多个连续层量子相干的广义哈尔珀林态被稳定。这些态在实验可及磁场区域取代了主导传统未扭曲类石墨多层膜的金属自发层间相干相，实现了与分形子拓扑序密切相关的非叶状分数量子霍尔序，其大拓扑简并和非有理统计相可为量子信息存储和处理提供非常规资源。
英文摘要
Three-dimensional fractional quantum Hall phases offer a route to intrinsically higher-dimensional topological order beyond simple stacks of two-dimensional quantum Hall liquids. Such phases can exhibit non-foliated, intrinsically three-dimensional entanglement structures, exponentially large topological degeneracies and quasiparticles with irrational braiding statistics. Their microscopic realization has remained elusive because Landau quantization in three dimensions generally leaves dispersive one-dimensional bands, favoring metallic and density-wave states over incompressible fractional liquids. Here we show that large-angle twisted van der Waals multilayers provide a practical route around this obstruction. Large twist angles suppress coherent interlayer tunneling through momentum mismatch, while the atomic-scale layer separation preserves strong interlayer Coulomb interactions. Using Monte Carlo calculations to compare the energies of an extensive set of 862 competing trial wavefunctions, we find that generalized Halperin states with quantum coherence extending across multiple consecutive layers are stabilized. In experimentally accessible magnetic-field regimes, these states replace the metallic spontaneous-interlayer-coherent phases that dominate conventional untwisted graphite-like multilayers. The resulting liquids realize non-foliated fractional quantum Hall order closely related to fractonic topological order, hosting quasiparticles with rational electric charges but irrational braiding statistics. Their large topological degeneracy and non-rational statistical phases may offer unconventional resources for quantum information storage and processing. Our results establish twisted van der Waals multilayers as a realistic materials platform for three-dimensional fractional Hall matter beyond conventional two-dimensional quantum Hall systems.
Comments8+23 pages, 3+6 figures, 0+9 tables
