The failure of Landau-Fermi liquid theory is often considered a telltale sign of universal, scale-invariant behavior in the emergent field theory of interacting fermions. Nevertheless, there exist borderline cases where weak scale invariance coupled with particle-hole asymmetry can coexist with the Landau quasiparticle paradigm. In this letter, I show explicitly that a Landau-Fermi liquid can exist for weak power-law scaling of the retarded Green's function. Such an exotic variant of the traditional Fermi liquid, although exhibiting a finite quasiparticle weight and large quasiparticle lifetime, is shown to always be incompatible with Luttinger's theorem for any non-trivial scaling. This result yields evidence for a Fermi liquid-like ground state in the high-field, underdoped pseudogap phase of the high-temperature cuprate superconductors.

中文翻译：

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弱幂律液体中的朗道准粒子

Landau-Fermi 液体理论的失败通常被认为是相互作用费米子的新兴场论中普遍、尺度不变行为的一个明显迹象。然而，存在临界情况，即弱尺度不变性加上粒子-空穴不对称性可以与朗道准粒子范式共存。在这封信中，我明确地表明，对于延迟格林函数的弱幂律缩放，​​可以存在朗道-费米液体。这种传统费米液体的奇特变体，虽然表现出有限的准粒子重量和大的准粒子寿命，但对于任何非平凡的缩放，它总是与 Luttinger 定理不相容。这一结果为高温铜酸盐超导体的高场、低掺杂赝隙相中的费米液体基态提供了证据。