AI 中文总结
该研究通过严格的Laughlin泵论证，结合纯态对的指数与无限矩阵乘积态分析，确立了Laughlin态作为拓扑指数的分形霍尔电导量子化，证明其为拓扑稳定的分数量子霍尔相代表。
AI 中文摘要
我们给出了一个严格的Laughlin泵论证，直接将霍尔电导的分数量子化确立为Laughlin态的拓扑指数。该证明采用了一对纯态的近期定义指数，结合无限矩阵乘积态分析，在足够细的圆柱上是严格的。凭借与指数的关联，我们的结果尤其表明，Laughlin态是拓扑稳定的分数量子霍尔相的代表。
英文摘要
We provide a rigorous Laughlin-pump argument that establishes the fractional quantization of the Hall conductance directly from the Laughlin state as a topological index. Our proof uses a recently defined index of a pair of pure states together with an infinite matrix product state analysis that is rigorous on a sufficiently thin cylinder. By virtue of the connection to an index, our result implies, in particular, that Laughlin states are representatives of topologically stable fractional quantum Hall phases.
Comments5 pages, 2 figures. Comments are welcome!
