Ultraviolet-Infrared Mixing in Marginal Fermi Liquids

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作   者：

Ye, Weicheng;  Lee, Sung-Sik;  Zou, Liujun; 

作者机构：

ON N2L 2Y5;  Canada|Univ Waterloo;  Hamilton;  Canada;  Canada|McMaster Univ;  Dept Phys & Astron;  Waterloo;  ON N2L 3G1;  ON L8S 4M1;  Perimeter Inst Theoret Phys; 

期刊名称：

Physical review letters

i s s n：

0031-9007

年卷期：

2022 年 128 卷 10 期

页   码：

106402.1-106402.6

页   码：

摘   要：

When Fermi surfaces (FSs) are subject to long-range interactions that are marginal in the renormalization-group sense, Landau Fermi liquids are destroyed, but only barely. With the interaction further screened by particle-hole excitations through one-loop quantum corrections, it has been believed that these marginal Fermi liquids (MFLs) are described by weakly coupled field theories at low energies. In this Letter, we point out a possibility in which higher-loop processes qualitatively change the picture through UV-IR mixing, in which the size of the FS enters as a relevant scale. The UV-IR mixing effect enhances the coupling at low energies, such that the basin of attraction for the weakly coupled fixed point of a (2 + 1)dimensional MFL shrinks to a measure-zero set in the low-energy limit. This UV-IR mixing is caused by gapless virtual Cooper pairs that spread over the entire FS through marginal long-range interactions. Our finding signals a possible breakdown of the patch description for the MFL and questions the validity of using the MFL as the base theory in a controlled scheme for non-Fermi liquids that arise from relevant longrange interactions.