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Anisotropic non-Fermi liquids

机译：各向异性非费米液体

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摘要

We study non-Fermi-liquid states that arise at the quantum critical points associated with the spin density wave (SDW) and charge density wave (CDW) transitions in metals with twofold rotational symmetry. We use the dimensional regularization scheme, where a one-dimensional Fermi surface is embedded in (3 - ∈)-dimensional momentum space. In three dimensions, quasilocal marginal Fermi liquids arise both at the SDW and CDW critical points: the speed of the collective mode along the ordering wave vector is logarithmically renormalized to zero compared to that of Fermi velocity. Below three dimensions, however, the SDW and CDW critical points exhibit drastically different behaviors. At the SDW critical point, a stable anisotropic non-Fermi-liquid state is realized for small e, where not only time but also different spatial coordinates develop distinct anomalous dimensions. The non-Fermi liquid exhibits an emergent algebraic nesting as the patches of Fermi surface are deformed into a universal power-law shape near the hot spots. Due to the anisotropic scaling, the energy of incoherent spin fluctuations disperse with different power laws in different momentum directions. At the CDW critical point, on the other hand, the perturbative expansion breaks down immediately below three dimensions as the interaction renormalizes the speed of charge fluctuations to zero within a finite renormalization group scale through a two-loop effect. The difference originates from the fact that the vertex correction antiscreens the coupling at the SDW critical point whereas it screens at the CDW critical point.
机译：我们研究了在具有双重旋转对称性的金属中，与自旋密度波（SDW）和电荷密度波（CDW）跃迁相关的量子临界点处出现的非费米液态。我们使用维正则化方案，其中一维费米曲面嵌入在（3--）维动量空间中。在三个维度上，在SDW和CDW临界点都出现了准局部边际费米液体：与费米速度相比，沿着有序波矢量的集体模态速度对数归一化为零。但是，在三个维度以下，SDW和CDW临界点表现出截然不同的行为。在SDW临界点上，对于小e，实现了一个稳定的各向异性非费米液态，其中不仅时间而且不同的空间坐标都发展出不同的异常尺寸。当费米表面的斑块在热点附近变形为通用幂律形状时，非费米液体表现出新兴的代数嵌套。由于各向异性的缩放，非相干自旋涨落的能量以不同的幂定律在不同的动量方向上分散。另一方面，在CDW临界点，由于相互作用通过有限的二次归一化组规模将电荷波动速度重新归一化为零，因此扰动膨胀立即分解到三个维度以下。差异源自以下事实：顶点校正在SDW临界点处屏蔽耦合，而在CDW临界点处屏蔽耦合。

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  • 来源
    《Physical review》 |2016年第19期|195135.1-195135.24|共24页
  • 作者

    Shouvik Sur; Sung-Sik Lee;

  • 作者单位

    Department of Physics and Astronomy, McMaster University, 1280 Main Street West, Hamilton, Ontario L8S 4M1, Canada,National High Magnetic Field Laboratory and Department of Physics, Florida State University, Tallahassee, Florida 32306, USA;

    Department of Physics and Astronomy, McMaster University, 1280 Main Street West, Hamilton, Ontario L8S 4M1, Canada,Perimeter Institute for Theoretical Physics, 31 Caroline Street North, Waterloo, Ontario N2L 2Y5, Canada;

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