论文标题
量子物质的激发光谱无准颗粒I：Sachdev-ye-Kitaev模型
Excitation spectra of quantum matter without quasiparticles I: Sachdev-Ye-Kitaev models
论文作者
论文摘要
我们研究了一般密度的复杂Sachdev-Ye-Kitaev（SYK）模型的低频光谱。该分析还适用于带有大型$ M $的随机交换的SU（$ M $）磁铁。光谱密度是通过对零温度（$ t $）的真实频率（$ω$）轴的鞍点方程（$ω$）上的鞍点方程进行数值分析来计算的。发现渐近低$ω$行为与无关的操作员的缩放尺寸非常吻合，而这些操作员的缩放尺寸会扰乱共同不变的关键状态。可能的实验兴趣是我们对SU（$ M $）磁体的通用自旋光谱重量（低$ω$ and $ t $）的计算：这包括时间重新聚集模式的贡献，这是全息偶性的边界重力。该分析扩展到随机的$ t $ - $ j $型号中的同伴论文。
We study the low frequency spectra of complex Sachdev-Ye-Kitaev (SYK) models at general densities. The analysis applies also to SU($M$) magnets with random exchange at large $M$. The spectral densities are computed by numerical analysis of the saddle point equations on the real frequency ($ω$) axis at zero temperature ($T$). The asymptotic low $ω$ behaviors are found to be in excellent agreement with the scaling dimensions of irrelevant operators which perturb the conformally invariant critical states. Of possible experimental interest is our computation of the universal spin spectral weight of the SU($M$) magnets at low $ω$ and $T$: this includes a contribution from the time reparameterization mode, which is the boundary graviton of the holographic dual. This analysis is extended to a random $t$-$J$ model in a companion paper.
