电荷或自旋密度波序起始处量子临界涨落导致的平热点非费米液体行为
Non Fermi liquid behavior at flat hot spots from quantum critical fluctuations at the onset of charge- or spin-density wave order
AI总结：
本文研究二维金属中电荷或自旋密度波序起始处量子临界涨落对费米面高对称点热点的影响，发现单圈近似下自能虚部线性依赖频率、实部对数发散，导致热点处准粒子权重消失的非费米液体行为。
摘要：
我们分析了二维金属中具有波矢 $\mathbf{Q}=2k_F$ 的电荷或自旋密度波序起始处的量子涨落效应——特别针对 $\mathbf{Q}$ 连接费米面上高对称点处一对热点且费米面曲率消失的特殊情形。我们在单圈近似下计算了序参量磁化率和费米子自能。磁化率在 $\mathbf{Q}$ 处呈现显著峰值，自能在热点处表现出非费米液体行为，其虚部具有线性频率依赖。单圈自能的实部作为频率和动量的函数表现出具有普适前因子的对数发散，这可被解释为具有普适反常维数的幂律行为的微扰特征。由此，我们得到一种在热点处准粒子权重消失的非费米液体金属，以及在热点附近具有反常代数动量依赖的重整化色散关系。
英文摘要：
We analyze quantum fluctuation effects at the onset of charge or spin density wave order with a $2k_F$ wave vector $\mathbf{Q}$ in two-dimensional metals -- for the special case where $\mathbf{Q}$ connects a pair of hot spots situated at high symmetry points of the Fermi surface with a vanishing Fermi surface curvature. We compute the order parameter susceptibility and the fermion self-energy in one-loop approximation. The susceptibility has a pronounced peak at $\mathbf{Q}$, and the self-energy displays non-Fermi liquid behavior at the hot spots, with a linear frequency dependence of its imaginary part. The real part of the one-loop self-energy exhibits logarithmic divergences with universal prefactors as a function of both frequency and momentum, which may be interpreted as perturbative signatures of power laws with universal anomalous dimensions. As a result, one obtains a non-Fermi liquid metal with a vanishing quasiparticle weight at the hot spots, and a renormalized dispersion relation with anomalous algebraic momentum dependencies near the hot spots.
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