Anomalous dynamical scaling from nematic and U(1)-gauge field fluctuations in two dimensional metals

Abstract

We analyze the scaling theory of two-dimensional metallic electron systems in the presence of critical bosonic fluctuations with small wave vectors, which are either due to a U(1) gauge field, or generated by an Ising nematic quantum critical point. The one-loop dynamical exponent z=3 of these critical systems was shown previously to be robust up to three-loop order. We show that the cancellations preventing anomalous contributions to z at three-loop order have special reasons, such that anomalous dynamical scaling emerges at four-loop order.

5 pages, 3 figures; supplementary material (4 pages, 3 figures). Conclusions and supplements updated in v2

References in corpus (4)

• 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

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