Effects of critical correlations on quantum percolation in two dimensions
Effects of critical correlations on quantum percolation in two dimensions
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DOI：
10.1103/physrevb.105.224316
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发表时间：
2022-03
影响因子：
3.7
通讯作者：
Giuseppe De Tomasi;Oliver Hart;Cecilie Glittum;C. Castelnovo
中科院分区：
文献类型：
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作者：
Giuseppe De Tomasi;Oliver Hart;Cecilie Glittum;C. Castelnovo
我们分析了与经历经典相变的局部磁自由度耦合的量子粒子的不平衡动力学。具体来说，我们考虑一个二维紧束缚模型，该模型与热平衡中的经典自旋背景相互作用，这些模型受到伊辛相互作用的影响，并充当量子粒子的新兴相关无序。特别关注接近铁磁体到顺磁体转变的温度。为了捕捉经典跃迁的显着特征，即长程关联的影响，我们关注强耦合极限，其中模型可以映射到伊辛模型生成的自旋簇上的量子渗流问题。通过检查能级统计、逆参与比和波包动力学等几种动力学探针，我们提供了证据，证明经典相变可能会在某些能量下引起量子系统中的离域-局域转变。由于伊辛相关性的存在，我们还确定了进一步的重要特征，例如紧致局域本征态的抑制。
We analyze the out-of-equilibrium dynamics of a quantum particle coupled to local magnetic degrees of freedom that undergo a classical phase transition. Specifically, we consider a two-dimensional tight-binding model that interacts with a background of classical spins in thermal equilibrium, which are subject to Ising interactions and act as emergent, correlated disorder for the quantum particle. Particular attention is devoted to temperatures close to the ferromagnet-to-paramagnet transition. To capture the salient features of the classical transition, namely the effects of long-range correlations, we focus on the strong coupling limit, in which the model can be mapped onto a quantum percolation problem on spin clusters generated by the Ising model. By inspecting several dynamical probes such as energy level statistics, inverse participation ratios, and wave-packet dynamics, we provide evidence that the classical phase transition might induce a delocalization-localization transition in the quantum system at certain energies. We also identify further important features due to the presence of Ising correlations, such as the suppression of compact localized eigenstates.