Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Straße 1, 85748 Garching, Germany.
Nat Commun. 2013;4:2864. doi: 10.1038/ncomms3864.
The fractional quantum Hall effect is one of the most striking phenomena in condensed matter physics. It is described by a simple Laughlin wavefunction and has been thoroughly studied both theoretically and experimentally. In lattice systems, however, much less is currently known, and only few models and mechanisms leading to it have been identified. Here we propose a new way of constructing lattice Hamiltonians with local interactions and fractional quantum Hall like ground states. In particular, we obtain a spin 1/2 model with a bosonic Laughlin-like ground state, displaying a variety of topological features. We also demonstrate how such a model naturally emerges out of a Fermi-Hubbard-like model at half filling, in which the kinetic energy part possesses bands with non-zero Chern number, and we show how this model can be implemented in an optical lattice setup with present or planned technologies.
分数量子霍尔效应是凝聚态物理中最引人注目的现象之一。它可以用简单的 Laughlin 波函数来描述，并且已经在理论和实验上得到了深入的研究。然而，在晶格系统中，目前人们对它的了解要少得多，只有少数几个导致分数量子霍尔效应的模型和机制被识别出来。在这里，我们提出了一种新的方法来构建具有局域相互作用和分数量子霍尔类似基态的晶格哈密顿量。特别是，我们得到了一个具有玻色 Laughlin 类似基态的自旋 1/2 模型，展示了多种拓扑特征。我们还展示了如何从半满的费米-哈伯德模型中自然地出现这样的模型，其中动能部分具有具有非零陈数的能带，并且我们展示了如何在具有现有或计划的技术的光学晶格设置中实现该模型。
