论文标题
$ {\ bf 2k_f} $复合费米液体的密度波不稳定性
${\bf 2k_F}$ Density Wave Instability of Composite Fermi Liquid
论文作者
论文摘要
我们通过将精确的对角线化与重新归一化组分析相结合，研究了非FERMI液态状态的$ 2K_F $密度波不稳定性。在半填充的零野豪水平上，我们研究了质量各向异性和混合兰道水平形式的复合材料费米液体的命运。这两个实验可访问的旋钮触发了一个相变向单向电荷密度波状状态，波形向量等于$ 2K_F $的复合材料费米液体。基于精确的对角线化，我们通过检查电荷密度密度相关性的能量光谱和静态结构因子来确定这种过渡。此外，重新归一化组的分析表明，量规波动使非fermi液态状态不稳定对密度波顺序不稳定，这与数值观察一致。还讨论了密度波不稳定性的可能实验探针。
We investigate the $2k_F$ density-wave instability of non-Fermi liquid states by combining exact diagonalization with renormalization group analysis. At the half-filled zeroth Landau level, we study the fate of the composite Fermi liquid in the presence of the mass anisotropy and mixed Landau level form factors. These two experimentally accessible knobs trigger a phase transition towards a unidirectional charge-density-wave state with a wavevector equal to $2k_F$ of the composite Fermi liquid. Based on exact diagonalization, we identify such a transition by examining both the energy spectra and the static structure factor of charge density-density correlations. Moreover, the renormalization group analysis reveals that gauge fluctuations render the non-Fermi liquid state unstable against density-wave orders, consistent with numerical observations. Possible experimental probes of the density-wave instability are also discussed.
