Non-Fermi liquid fixed points and anomalous Landau damping in a quantum critical metal
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Date
27/11/2018Grant ID
EP/L015110/1
EP/I031014/1
EP/R031924/1
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We present a functional renormalization-group calculation of the properties of a quantum critical metal in d=2 spatial dimensions. Our theory describes a general class of Pomeranchuk instabilities with Nb flavors of boson. At small Nb we find a family of fixed points characterized by weakly non-Fermi-liquid behavior of the conduction electrons and z≈2 critical dynamics for the order-parameter fluctuations, in agreement with the scaling observed by Schattner et al. [Phys. Rev. X 6, 031028 (2016)] for the Ising-nematic transition. Contrary to recent suggestions that this represents an intermediate regime en route to the scaling limit, our calculation suggests that this behavior may persist all the way to the critical point. As the number of bosons Nb is increased, the model's fixed-point properties cross over to z≈1 scaling and non-Fermi-liquid behavior similar to that obtained by Fitzpatrick et al. [Phys. Rev. B 88, 125116 (2013)].
Citation
Trott , M J & Hooley , C A 2018 , ' Non-Fermi liquid fixed points and anomalous Landau damping in a quantum critical metal ' , Physical Review. B, Condensed matter and materials physics , vol. 98 , no. 20 , 201113(R) , pp. 1-5 . https://doi.org/10.1103/PhysRevB.98.201113
Publication
Physical Review. B, Condensed matter and materials physics
Status
Peer reviewed
ISSN
1098-0121Type
Journal article
Rights
Copyright © 2018 American Physical Society. This work has been made available online in accordance with publisher policies or with permission. Permission for further reuse of this content should be sought from the publisher or the rights holder. This is the final published version of the work, which was originally published at https://doi.org/10.1103/PhysRevB.98.201113
Description
Funding: CM-CDT under UK Engineering and Physical Sciences Research Council (EPSRC) (UK) Grant No. EP/L015110/1 (M.J.T.); TOPNES programme under EPSRC (UK) Grant No. EP/I031014/1 (C.A.H.).Collections
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