We study the fermionic spectral density in a strongly correlated quantum system described by a gravity dual. In the presence of periodically modulated chemical potential, which models the effect of the ionic lattice, we explore the shapes of the corresponding Fermi surfaces, defined by the location of peaks in the spectral density at the Fermi level. We find that at strong lattice potentials sectors of the Fermi surface are unexpectedly destroyed and the Fermi surface becomes an arc-like disconnected manifold. We explain this phenomenon in terms of a collision of the Fermi surface pole with zeros of the fermionic Green’s function, which are explicitly computable in the holographic dual.

中文翻译：

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孤立的零点破坏了带晶格的全息模型中的费米面

我们研究了由重力对偶描述的强相关量子系统中的费米子光谱密度。在模拟离子晶格效应的周期性调制化学势存在的情况下，我们探索了相应费米面的形状，由费米能级谱密度峰值的位置定义。我们发现，在强晶格势下，费米面的扇区意外地被破坏，费米面变成了一个弧形的不连续流形。我们用费米表面极点与费米格林函数的零点的碰撞来解释这种现象，这在全息对偶中是可明确计算的。