Journal
PHYSICAL REVIEW B
Volume 88, Issue 24, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.88.245106
Keywords
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Funding
- Natural Sciences and Engineering Research Council of Canada
- Early Research Award from the Ontario Ministry of Research and Innovation
- Templeton Foundation
- Government of Canada through Industry Canada
- Province of Ontario through the Ministry of Research and Information
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We devise a dimensional regularization scheme for quantum field theories with a Fermi surface to study scaling behavior of non-Fermi liquid states in a controlled approximation. Starting from two space dimensions, the co-dimension of the Fermi surface is extended to a general value while its dimension is fixed. When the Fermi surface is coupled with a critical boson centered at zero momentum, the interaction becomes marginal at a critical space dimension d(c) = 5/2. A deviation from the critical dimension is used as a small parameter for a systematic expansion. We apply this method to the theory where two patches of the Fermi surface are coupled with a critical boson, and show that the Ising-nematic critical point is described by a stable non-Fermi liquid state slightly below the critical dimension. Critical exponents are computed up to the two-loop order.
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