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Elastic gauge fields and zero-field three-dimensional quantum Hall effect in hyperhoneycomb lattices

机译:HyperhoneyComb格子的弹性仪域和零场三维量子展效应

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摘要

Dirac materials respond to lattice deformations as if the electrons were coupled to gauge fields. We derive the elastic gauge fields in the hyperhoneycomb lattice, a three-dimensional (3D) structure with trigonally connected sites. In its semimetallic form, this lattice is a nodal-line semimetal with a closed loop of Dirac nodes. Using strain engineering, we find a whole family of strain deformations that create uniform nearly flat Landau levels in 3D. We propose that those Landau levels can be created and tuned in metamaterials with the application of a simple uniaxial temperature gradient. In the 3D quantum anomalous Hall phase, which is topological, we show that the components of the elastic Hall viscosity tensor are multiples of eta H = beta(2)root 3/(16 pi a(3)), where beta is an elastic parameter and a is the lattice constant.
机译:DIRAC材料响应晶格变形,好像电子连接到仪表田地一样。我们在HyperHoneyComb格子中派生弹性仪表,一个带有三维(3D)结构的三维(3D)结构。在其半层状形式中,该晶格是一个裸族线半型,具有闭环的Dirac节点。使用应变工程,我们发现全年的应变变形,造成均匀的近三维地区水平。我们建议在超级单轴温度梯度的应用中,可以在超级材料中创建和调整那些Landau水平。在拓扑的3D量子异常霍尔期间,我们表明弹性霍尔粘度张量的组分是ETA H =β(2)根3 /(16pi a(3))的倍数,其中β是弹性的参数和A是晶格常数。

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  • 来源
    《Physical review》 |2019年第20期|201301.1-201301.6|共6页
  • 作者

    Kim Sang Wook; Uchoa Bruno;

  • 作者单位

    Univ Oklahoma Dept Phys & Astron Norman OK 73019 USA;

    Univ Oklahoma Dept Phys & Astron Norman OK 73019 USA;

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  • 正文语种 eng
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