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Ultraviolet-Infrared Mixing in Marginal Fermi Liquids.

Weicheng Ye1,2, Sung-Sik Lee1,3, Liujun Zou1

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Long-range interactions can destabilize Fermi liquids, but higher-loop quantum effects may unexpectedly strengthen these interactions. This UV-IR mixing shrinks the validity of weakly coupled theories for marginal Fermi liquids.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Field Theory

Background:

  • Landau Fermi liquids describe metals but can be destroyed by marginal long-range interactions.
  • Marginal Fermi liquids (MFLs) were thought to be described by weakly coupled theories due to screening effects.

Purpose of the Study:

  • To investigate the role of higher-loop quantum corrections in MFLs.
  • To explore the impact of UV-IR mixing on the low-energy behavior of MFLs.

Main Methods:

  • Analysis of one-loop and higher-loop quantum corrections.
  • Renormalization-group analysis in (2+1) dimensions.
  • Investigation of UV-IR mixing effects.

Main Results:

  • Higher-loop processes can lead to UV-IR mixing, introducing the Fermi surface size as a relevant scale.
  • This mixing enhances interactions at low energies, shrinking the domain of validity for weakly coupled MFL theories.
  • Gapless virtual Cooper pairs contribute to this UV-IR mixing.

Conclusions:

  • The standard description of MFLs using weakly coupled field theories may break down.
  • UV-IR mixing challenges the patch description of MFLs and their use in theories of non-Fermi liquids.
  • The findings question the fundamental assumptions underlying MFL theory in certain regimes.