# Quantum criticality and non-Fermi liquids: The Wilsonian renormalization group perspective

https://mdr.nims.go.jp/datasets/1e44bb2b-b258-4a60-a7e6-e62a6e6aa378

## File

- [main.pdf](https://mdr.nims.go.jp/filesets/e30695ec-b565-40b8-b57e-74afde51aa9a/download) ([Detail](https://mdr.nims.go.jp/filesets/e30695ec-b565-40b8-b57e-74afde51aa9a.md))

## Id

1e44bb2b-b258-4a60-a7e6-e62a6e6aa378

## Local identifier



## Visibility

open_to_public

## State

published

## Created at

2026-09-10T11:37:06.706266Z

## Updated at

2026-09-11T01:16:57.980242Z

## Published at

2026-09-11T05:26:00.417918Z

## Doi

https://doi.org/10.48505/nims.6514

## First published url

https://doi.org/10.1103/6zxj-zq4c

## Date published

2026-08-24

## Recorded date published

2026-8

## Resource type

journal_article

## Manuscript type

accepted_manuscript

## Collection



## Title

- title: 'Quantum criticality and non-Fermi liquids: The Wilsonian renormalization
    group perspective'
  title_type: original
  lang: en

## Description

- description: "<p>We develop a theoretical framework based on the nonperturbative
    renormalization group (RG) in the one-particle irreducible (Wetterich) formulation
    to tackle the interplay of coupled fermionic and order-parameter fluctuations
    at metallic quantum critical points (QCPs) with ordering wave vector Q&#x20D7;
    = 0&#x20D7;. We consistently treat the dynamical emergence of the Landau damping
    of the bosonic mode and non-Fermi liquid scaling of fermions upon lowering the
    cutoff scale. The loop integrals of the present theory involve only contributions
    from fluctuations above the cutoff scale, which protects the system from developing
    singular bosonic interactions. We emphasize the importance of the nontrivial relative
    scaling of the bosonic and fermionic cutoffs &Lambda; and &Lambda;<sub>f</sub>,
    which we fix by analyzing the RG flow of the scale-dependent ordering wave-vector
    Q&#x20D7;<sub>&Lambda;</sub>. Upon neglecting Fermi self-energy in the loop integrals
    of the functional RG flow, we identify a non-Fermi liquid RG fixed point and recover
    the features obtained earlier within random phase approximation-type approaches.
    In a subsequent step, we self-consistently include the scaling of the self-energy
    and the Yukawa coupling. We find a generic instability of the non-Fermi liquid
    RG fixed point. This implies, at least at this truncation level, absence of the
    QCP with Q&#x20D7; = 0&#x20D7; and development of a first-order phase transition
    or a phase characterized by Q&#x20D7; &ne; 0&#x20D7;.</p>"
  description_type: abstract
  lang: en

## Creator

- name: Mateusz Homenda
  role: author
- name: Pawel Jakubczyk
  role: author
- name: Hiroyuki Yamase
  role: author
  orcid: https://orcid.org/0000-0003-0328-5657
  organization: National Institute for Materials Science

## Contact agent



## Publisher

organization: American Physical Society (APS)

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## Keyword

- subject: Quantum criticality
  schema: not_defined
- subject: Landau damping
  schema: not_defined
- subject: Renormalization group
  schema: not_defined
- subject: non-Fermi liquid
  schema: not_defined

## Rights

- description: "©2026 American Physical Society"
  identifier: http://rightsstatements.org/vocab/InC/1.0/

## Other identifier(s)



## Data origin

- data_origin_type: other

## Embargo



## Journal

- title: Physical Review B
  issn: 1550235X
  volume: '114'
  issue: '10'
  article_number: '105134'

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## Funding

- identifier: JP20H01856
  funder_name: Japan Society for the Promotion of Science
- funder_name: Ministry of Education, Culture, Sports, Science and Technology
- identifier: 2021/43/B/ST3/01223
  funder_name: Polish National Science Center

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## Fileset

- id: e30695ec-b565-40b8-b57e-74afde51aa9a
  filename: main.pdf
  content_type: application/pdf
  size: 2626984
  md5: f0f8ebec13c63acd3125cbf367a937ee

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