[统计数据] 渗流晶格上的量子相变 [推广有奖]

摘要翻译：
当量子多粒子系统存在于随机稀释晶格上时，它的本征热涨落和量子涨落与由于渗流而引起的几何涨落共存。在本文中，我们探讨了这些涨落的相互作用如何影响渗流阈值处的相变。众所周知，热涨落一般会破坏临界逾渗团簇的长程有序，而量子涨落的影响则更为微妙。在有耗散和无耗散的稀释量子磁体中，这导致了零温逾渗量子相变的新的普适类。涉及动力学关联的可观测物显示出非经典标度行为，但可以在二维中精确地确定。
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英文标题：
《Quantum Phase Transitions on Percolating Lattices》
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作者：
Thomas Vojta and J. A. Hoyos
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最新提交年份：
2007
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分类信息：

一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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一级分类：Physics        物理学
二级分类：Strongly Correlated Electrons        强关联电子
分类描述：Quantum magnetism, non-Fermi liquids, spin liquids, quantum criticality, charge density waves, metal-insulator transitions
量子磁学，非费米液体，自旋液体，量子临界性，电荷密度波，金属-绝缘体跃迁
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英文摘要：
  When a quantum many-particle system exists on a randomly diluted lattice, its intrinsic thermal and quantum fluctuations coexist with geometric fluctuations due to percolation. In this paper, we explore how the interplay of these fluctuations influences the phase transition at the percolation threshold. While it is well known that thermal fluctuations generically destroy long-range order on the critical percolation cluster, the effects of quantum fluctuations are more subtle. In diluted quantum magnets with and without dissipation, this leads to novel universality classes for the zero-temperature percolation quantum phase transition. Observables involving dynamical correlations display nonclassical scaling behavior that can nonetheless be determined exactly in two dimensions.
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PDF链接：
https://arxiv.org/pdf/707.0658