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arXiv 2008.08258cond-mat.str-el
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保护渗流:一个新的重掺杂量子临界系统普适类

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

Sean Fayfar, Alex Bretaña, Wouter Montfrooij

摘要:

我们提出的计算机模拟的结果,形成了一个新的普遍性类的类的分解系统。我们展示了这个新的类的临界指数的结果,推断从模拟的二维和三维晶格组成的高达10亿晶格网站。这些新的分离系统与标准分离系统的不同之处在于,一旦一个簇从跨越簇的晶格中脱离,它的位点就受到保护并且不能被移除。这种情况密切模仿的情况下,在重掺杂的量子临界系统中,孤立的磁性集群的保护(进一步)近藤筛选。我们的研究结果表明,保护渗流违反哈里斯准则,这产生了一个自然的解释,为什么量子相变的普适指数一直难以捉摸。

英文摘要:

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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