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We reassess the structure of the effective action and quantum critical singularities of two-dimensional Fermi systems characterized by the ordering wavevector Q= 0. By employing infrared cutoffs on all the massless degrees of freedom, we derive a generalized form of the Hertz action, which does not suffer from problems of singular effective interactions. We demonstrate that the Wilsonian momentum-shell renormalization group (RG) theory capturing the infrared scaling should be formulated keeping Q as a flowing, scale-dependent quantity. At the quantum critical point, scaling controlled by the dynamical exponent z=3 is overshadowed by a broad scaling regime characterized by a lower value of z approx 2. This in particular offers an explanation of the results of quantum Monte Carlo simulations pertinent to the electronic nematic quantum critical point.

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Keyword: Generalized Hertz action, quantum criticality, functional renormalization group, nematic order

Date published: 2024-09-05

Publisher: American Physical Society (APS)

Journal:

• Physical Review B (ISSN: 1550235X) vol. 110 issue. 12 L121102

Funding:

• Narodowe Centrum Nauki 2021/43/B/ST3/01223
• Narodowe Centrum Nauki 2017/26/E/ST3/00211
• Japan Society for the Promotion of Science JP20H01856
• Ministry of Education, Culture, Sports, Science and Technology World Premier Interna- tional Research Center Initiative (WPI)

Manuscript type: Author's version (Accepted manuscript)

MDR DOI: https://doi.org/10.48505/nims.4992

First published URL: https://doi.org/10.1103/physrevb.110.l121102

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Updated at: 2024-11-19 16:30:56 +0900

Published on MDR: 2024-11-19 16:30:56 +0900