二维极强关联金属的各向异性弹性电阻率理论
Theory of anisotropic elastoresistivity of two-dimensional extremely strongly correlated metals
摘要：
相关金属的各向异性电阻率现象近来引起了人们极大的兴趣。虽然在铁基超导系统上已经做了一些有趣的工作，但对铜酸盐材料知之甚少。本文研究了正常状态下铜酸盐弹性电阻率的各向异性。我们目前的理论结果应变电阻率的影响，以及另外的光学重量和局域态密度。我们使用最近发展起来的极强关联费米液体理论在二维，这占了三个家庭的单层铜氧化物的无应变折射率定量。紧束缚模型的应变跳跃大致类似于应变过渡金属。然后，利用最近工作中发展的方程，得到二维$t$-$t'$ - $J$模型的应变电阻率。我们对这些量的定量预测具有在不久的将来进行实验测试的前景，用于强相关材料，例如空穴掺杂和电子掺杂的高$T_c$材料。
英文摘要：
There is considerable recent interest in the phenomenon of anisotropic electroresistivity of correlated metals. While some interesting work has been done on the iron-based superconducting systems, not much is known for the cuprate materials. Here we study the anisotropy of elastoresistivity for cuprates in the normal state. We present theoretical results for the effect of strain on resistivity, and additionally on the optical weight and local density of states. We use the recently developed extremely strongly correlated Fermi liquid theory in two dimensions, which accounts quantitatively for the unstrained resistivities for three families of single-layer cuprates. The strained hoppings of a tight-binding model are roughly modeled analogously to strained transition metals. The strained resistivity for a two-dimensional $t$-$t'$-$J$ model are then obtained, using the equations developed in recent work. Our quantitative predictions for these quantities have the prospect of experimental tests in the near future, for strongly correlated materials such as the hole-doped and electron-doped high-$T_c$ materials.
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