Anomalous dynamical scaling from nematic and U(1)-gauge field fluctuations in two dimensional metals
Strongly Correlated Electrons
2015-07-22 v2
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.
Keywords
Cite
@article{arxiv.1503.05089,
title = {Anomalous dynamical scaling from nematic and U(1)-gauge field fluctuations in two dimensional metals},
author = {Tobias Holder and Walter Metzner},
journal= {arXiv preprint arXiv:1503.05089},
year = {2015}
}
Comments
5 pages, 3 figures; supplementary material (4 pages, 3 figures). Conclusions and supplements updated in v2