论文标题

受保护的渗透:与重型量子关键系统有关的新通用类别

Protected percolation: a new universality class pertaining to heavily-doped quantum critical systems

论文作者

Fayfar, Sean, Bretaña, Alex, Montfrooij, Wouter

论文摘要

我们在形成新的通用类别类别的一系列渗透性系统上介绍了计算机模拟的结果。我们展示了该新类别的关键指数的结果,这是根据对二维和三维晶格的模拟推断出的,该晶格最多包括十亿个晶格站点。这些新的渗透性系统与标准渗透性系统不同,因为群集破裂了晶格跨度群集,其位置就会受到保护,无法删除。这种情况紧密地模仿了掺杂的量子关键系统中的情况,在这些系统中,隔离的磁簇受到保护免受(进一步的)膜筛查的保护。我们的结果表明,受保护的渗透违反了哈里斯标准,这对为什么量子相变的通用指数为何难以捉摸,这对为什么通用指数为何产生了自然的解释。

We present the results of computer simulations on a class of percolative systems that forms a new universality class. We show the results for the critical exponents for this new class, inferred from simulations of two- and three-dimensional lattices consisting of up to one billion lattice sites. These new percolative systems differ from standard percolative systems in that once a cluster breaks off the lattice spanning cluster, its sites become protected and cannot be removed. This situation closely mimics the situation in heavily-doped quantum critical systems where isolated magnetic clusters are protected from (further) Kondo screening. Our results indicate that protected percolation violates the Harris criterion, which yields a natural explanation as to why universal exponents for quantum phase transitions have been elusive.

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