Journal
PHYSICAL REVIEW B
Volume 88, Issue 12, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.88.125116
Keywords
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Funding
- National Science Foundation [PHY-0756174, 1066293]
- DOE Office of Basic Energy Sciences [DE-AC02-76SF00515]
- John Templeton Foundation
- Alfred P. Sloan Foundation
- ERC [228169]
- US DOE [DE-AC02-76SF00515]
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We study the problem of disorder-free metals near a continuous quantum critical point. We depart from the standard paradigm [Hertz, Phys. Rev. B 14, 1165 (1976) and Millis, Phys. Rev. B 48, 7183 (1993)] 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.
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