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arXiv 1902.05084cond-mat.str-el
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二维金属中的无公度$2k_F$密度波量子临界性

Incommensurate $2k_F$ density wave quantum criticality in two dimensional metals

Johannes Halbinger, Dimitri Pimenov, Matthias Punk

摘要:

我们重新讨论了二维金属在量子相变到无公度$\mathbf{Q}=2k_F$电荷密度波序附近的问题,其中序参量波矢$\mathbf{Q}$用平行切线连接费米表面上的两个热点。早期的理论工作认为,如果热点处的费米表面不够平坦,那么这些临界点可能是不稳定的。在这里,我们进行了控制,微扰重整化群分析,并找到一个稳定的不动点对应于一个连续的量子相变,表现出强烈的动力学嵌套的费米面的热点。我们推导出的标度形式的关联函数的临界点,并讨论了潜在的影响与过渡金属二硫属化物和稀土碲化物的实验。

英文摘要:

We revisit the problem of two dimensional metals in the vicinity of a quantum phase transition to incommensurate $\mathbf{Q}=2k_F$ charge density wave order, where the order parameter wave vector $\mathbf{Q}$ connects two hot spots on the Fermi surface with parallel tangents. Earlier theoretical works argued that such critical points are potentially unstable, if the Fermi surface at the hot spots is not sufficiently flat. Here we perform a controlled, perturbative renormalization group analysis and find a stable fixed point corresponding to a continuous quantum phase transition, which exhibits a strong dynamical nesting of the Fermi surface at the hot spots. We derive scaling forms of correlation functions at the critical point and discuss potential implications for experiments with transition metal dichalcogenides and rare-earth tellurides.

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