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arXiv 1602.05360cond-mat.str-elhep-th
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$d=2$量子临界金属中非费米液体行为的非微扰出现

Non-perturbative emergence of non-Fermi liquid behaviour in $d=2$ quantum critical metals

Balazs Meszena, Petter Säterskog, Andrey Bagrov, Koenraad Schalm

摘要:

本文研究了有限密度下耦合到临界玻色子的$d=2$费米子的平面局域补丁近似。在猝灭近似或布洛赫-诺德西克近似中,当取费米子味的极限$N_f\rightarrow 0$时,可以{精确}确定费米子谱函数。我们表明,人们可以得到这个非微扰的答案感谢一个特定的身份的费米两点函数的平面局部补丁近似。由此产生的光谱是非费米液体的光谱:准粒子不是理论中精确的费米激发光谱的一部分。相反,人们发现连续谱权重与幂律标度激励在一个$d=1$维临界状态。此外,在低能量有三个这样的激发在三个不同的费米面,两个与低能量格林函数$G \sim (ω-v_*k)^{-1/2}$和一个与$G \sim |ω+k|^{-1/3}$。

英文摘要:

We consider the planar local patch approximation of $d=2$ fermions at finite density coupled to a critical boson. In the quenched or Bloch-Nordsieck approximation, where one takes the limit of fermion flavors $N_f\rightarrow 0$, the fermion spectral function can be determined {exactly}. We show that one can obtain this non-perturbative answer thanks to a specific identity of fermionic two-point functions in the planar local patch approximation. The resulting spectrum is that of a non-Fermi liquid: quasiparticles are not part of the exact fermionic excitation spectrum of the theory. Instead one finds continuous spectral weight with power law scaling excitations as in a $d=1$ dimensional critical state. Moreover, at low energies there are three such excitations at three different Fermi surfaces, two with a low energy Green's function $G \sim (ω-v_*k)^{-1/2}$ and one with $G \sim |ω+k|^{-1/3}$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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