We show that the momentum-dependent scaling exponents of the holographic fermion self-energy of the conformal-to-${\mathrm{AdS}}_2$ Gubser-Rocha model can describe new findings from angle-resolved photoemission spectroscopy experiments on a single-layer (Pb,Bi)${}_2{\mathrm{Sr}}_{2-x}{\mathrm{La}}_x{\mathrm{CuO}}_{6+\delta }$ copper oxide. In particular, it was recently observed in high-precision measurements on constant energy cuts along the nodal direction that the spectral function departs from the Lorentzian line shape that is expected from the power-law-liquid model of a nodal self-energy, with an imaginary part featureless in momentum as ${\mathrm{\Sigma }}_{\text{PLL}}^{\prime \prime }\left(\omega \right)\propto {\left({\omega }^2\right)}^{\alpha }$. By direct comparison with experimental results, we provide evidence that this departure from either a Fermi liquid or the power-law liquid, resulting in an asymmetry of the spectral function as a function of momentum around the central peak, is captured at low temperature and all dopings by a semiholographic model that predicts a momentum-dependent scaling exponent in the electron self-energy as $\mathrm{\Sigma }(\omega ,k)\propto \omega {(-{\omega }^2)}^{\alpha (1-(k-k_F)/k_F)-1/2}$, with $\hslash k_F$ the Fermi momentum.

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规范重力二元性进入实验室：铜酸盐奇异金属节点电子自能中动量相关标度指数的证据

我们证明了共形到的全息费米子自能的动量相关标度指数${\mathrm{广告服务}}_2$Gubser-Rocha 模型可以描述单层 (Pb,Bi) 角分辨光电子能谱实验的新发现${}_2{锶}_{2-X}{拉}_X{\mathrm{氧化铜}}_{6+\delta }$氧化铜。特别是，最近在沿节点方向的恒定能量切割的高精度测量中观察到，谱函数偏离节点自能幂律液体模型所预期的洛伦兹线形状，其中虚部的动量无特征为${\mathrm{\Sigma }}_{\text{锁相环}}^{\prime \prime }（\omega ）\propto {（{\omega }^2）}^{\alpha }$。通过与实验结果的直接比较，我们提供的证据表明，这种偏离费米液体或幂律液体的现象，导致光谱函数作为中心峰周围动量函数的不对称性，是在低温下捕获的，并且所有通过半全息模型进行掺杂，该模型预测电子自能中与动量相关的标度指数为$\mathrm{\Sigma }（\omega ,k）\propto \omega {（-{\omega }^2）}^{\alpha （1-（k-k_F）/k_F）-1/2}$， 和$\hslash k_F$费米动量。