论文标题
在随机哈伯德模型中的金属绝缘体过渡
Metal-insulator transition in a random Hubbard model
论文作者
论文摘要
我们在半充满的电子模型中检查了具有随机和全能的跳跃和交换的电子模型的金属 - 绝缘体过渡，以及一个现场的非随机排斥，Hubbard $ u $。我们认为Cha等人的最新数值结果。 （Arxiv：2002.07181）可以从无序的费米液体与绝缘旋转玻璃之间的污染临界点来理解。我们在先前提出的大型$ m $理论中找到了一个脱合的临界点，该理论将su（2）旋转对称性（$ m $）概括，并获得与Cha等人一致的电子和自旋相关器的指数。我们还提出了重新归一化的组分析，并主张在半填充和小$ u $的情况下存在额外的金属自旋玻璃相。
We examine the metal-insulator transition in a half-filled Hubbard model of electrons with random and all-to-all hopping and exchange, and an on-site non-random repulsion, the Hubbard $U$. We argue that recent numerical results of Cha et al. (arXiv:2002.07181) can be understood in terms of a deconfined critical point between a disordered Fermi liquid and an insulating spin glass. We find a deconfined critical point in a previously proposed large $M$ theory which generalizes the SU(2) spin symmetry to SU($M$), and obtain exponents for the electron and spin correlators which agree with those of Cha et al. We also present a renormalization group analysis, and argue for the presence of an additional metallic spin glass phase at half-filling and small $U$.
