具有平坦热点的二维金属中$\oldsymbol{2k_F}$密度波序起始处的边缘费米液体行为
Marginal Fermi liquid behavior at the onset of $\boldsymbol{2k_F}$ density wave order in two-dimensional metals with flat hot spots
AI总结：
本文通过RPA和重整化群方法研究二维金属中平坦热点处$2k_F$密度波序起始的量子涨落，发现耦合对数消失导致仅出现对数修正而非反常幂律，准粒子权重和费米速度在热点处对数消失。
摘要：
我们分析了二维金属中非公度$2k_F$电荷或自旋密度波序起始处的量子涨落效应，所考虑的模型中，序波矢$\oldsymbol{Q}$连接费米面上费米面曲率消失的一对热点。热点附近裸色散的切向动量依赖关系正比于$|k_t|^α$，其中$α>2$。我们首先在随机相近似（RPA）中计算序参量磁化率和费米子自能。随后通过重整化群分析处理对数发散。序参量涨落与费米子之间的耦合在低能极限下以对数方式消失。因此，RPA中发现的对数发散不会求和为反常幂律。相反，只得到对费米液体行为的对数修正。特别是，准粒子权重和费米速度在热点处对数地消失。
英文摘要：
We analyze quantum fluctuation effects at the onset of incommensurate $2k_F$ charge- or spin-density wave order in two-dimensional metals, for a model where the ordering wave vector $\boldsymbol{Q}$ connects a single pair of hot spots on the Fermi surface with a vanishing Fermi surface curvature. The tangential momentum dependence of the bare dispersion near the hot spots is proportional to $|k_t|^α$ with $α> 2$. We first compute the order parameter susceptibility and the fermion self-energy in random phase approximation (RPA). Logarithmic divergences are subsequently treated by a renormalization group analysis. The coupling between the order parameter fluctuations and the fermions vanishes logarithmically in the low-energy limit. As a consequence, the logarithmic divergences found in RPA do not sum up to anomalous power laws. Instead, only logarithmic corrections to Fermi liquid behavior are obtained. In particular, the quasiparticle weight and the Fermi velocity vanish logarithmically at the hot spots.
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