Non-Fermi liquid fixed point in a Wilsonian theory of quantum critical metals

Abstract

We study the problem of disorder-free metals near a continuous quantum critical point. We depart from the standard paradigm of Hertz and Millis, and treat both fermions and bosons i.e. order parameter fields) on equal footing. We construct a Wilsonian effective field theory that integrates out only high energy boson and fermion modes. Below the upper critical dimension of the theory (d=3 spatial dimensions), we find new fixed points in which the bosons are described by the Wilson-Fisher fixed point and are coupled to a non-Fermi liquid metal. We describe subtleties with the renormalization group flow of four-Fermi interactions, which can be surmounted in a controlled large N limit. In this limit, we find that the theory has no superconducting instability.

14 pages, 5 figures; v2: refs added; v3: PRB published version

References in corpus (6)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Low energy effective theory of Fermi surface coupled with U(1) gauge field in 2+1 dimensions
• Stability of the U(1) spin liquid with spinon Fermi surface in 2+1 dimensions
• A controlled expansion for certain non-Fermi liquid metals
• Fermi surfaces in general co-dimension and a new controlled non-trivial fixed point
• Higher angular momentum pairing from transverse gauge interactions

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