...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Physical Review X >Universal Quantum Criticality in the Metal-Insulator Transition of Two-Dimensional Interacting Dirac Electrons
【24h】

Universal Quantum Criticality in the Metal-Insulator Transition of Two-Dimensional Interacting Dirac Electrons

机译：二维相互作用的狄拉克电子金属绝缘体转变的通用量子临界性

获取原文
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

The metal-insulator transition has been a subject of intense research since Mott first proposed that the metallic behavior of interacting electrons could turn to an insulating one as electron correlations increase. Here, we consider electrons with massless Dirac-like dispersion in two spatial dimensions, described by the Hubbard models on two geometrically different lattices, and perform numerically exact calculations on unprecedentedly large systems that, combined with a careful finite-size scaling analysis, allow us to explore the quantum critical behavior in the vicinity of the interaction-driven metal-insulator transition. Thereby, we find that the transition is continuous, and we determine the quantum criticality for the corresponding universality class, which is described in the continuous limit by the Gross-Neveu model, a model extensively studied in quantum field theory. Furthermore, we discuss a fluctuation-driven scenario for the metal-insulator transition in the interacting Dirac electrons: The metal-insulator transition is triggered only by the vanishing of the quasiparticle weight, not by the Dirac Fermi velocity, which instead remains finite near the transition. This important feature cannot be captured by a simple mean-field or Gutzwiller-type approximate picture but is rather consistent with the low-energy behavior of the Gross-Neveu model.
机译：金属绝缘体转变一直是激烈的研究主题，因为Mott首先提出相互作用电子的金属行为可以转向绝缘体，因为电子相关性增加。在这里，我们考虑有两个空间尺寸的无抽质迪拉姆色散的电子，由哈贝德模型在两个几何不同的格子上描述，并且对前所未有的大型系统进行了数字精确的计算，与仔细有限大小的缩放分析相结合，允许我们探讨相互作用的金属 - 绝缘体转变附近的量子临界行为。由此，我们发现转变是连续的，并且我们确定相应的普遍性类别的量子临界性，这在总体场理论中广泛研究的模型中在连续限制中描述。此外，我们讨论相互作用的DIAC电子中的金属绝缘体过渡的波动驱动场景：仅通过Quasiplicle重量的消失而触发金属 - 绝缘体转变，而不是通过DIRAC FERMI速度触发，这取得了靠近附近的有限度过渡。这个重要的功能无法通过简单的含义或Gutzwiller型近似图像捕获，但与Gross-Neveu模型的低能量行为相当一致。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号