Stable non-Fermi liquid fixed point at the onset of incommensurate 2 Charge Density Wave Order

Ipsita Mandal (Department of Physics, Shiv Nadar Institution of Eminence (SNIoE), Gautam Buddha Nagar, Uttar Pradesh, India; Freiburg Institute for Advanced Studies (FRIAS), University of Freiburg, Freiburg, Germany)

We consider the emergence of a non-Fermi liquid fixed point in a two-dimensional metal, at the onset of a quantum phase transition from a Fermi liquid state to an incommensurate charge density wave (CDW) ordered phase. The momentum of the CDW boson is centred at the wavevector Q, which connects a single pair of antipodal points on the Fermi surface with antiparallel tangent vectors. We employ the dimensional regularization technique in which the co-dimension of the Fermi surface is extended to a generic value, while keeping the dimension of the Fermi surface itself fixed at one. Although the system is strongly coupled at dimension d=2, the interactions become marginal at the upper critical dimension d=dc, whose value is found to be 5/2. Using a controlled perturbative expansion in the parameter ϵ=dcd, we compute the critical exponents of the stable infrared fixed point characterizing the quantum critical point. The scalings of the original theory are determined by setting ϵ=1/2, where the fermion self-energy is seen to scale with the frequency with a fractional power law of 2/3, which is the telltale signature of a typical non-Fermi liquid phase.

{
  "license": [
    {
      "url": "http://creativecommons.org/licenses/by/3.0/", 
      "license": "CC-BY-3.0"
    }
  ], 
  "copyright": [
    {
      "holder": "The Author(s)", 
      "statement": "The Author(s)", 
      "year": "2024"
    }
  ], 
  "control_number": "86282", 
  "_oai": {
    "updated": "2024-06-21T21:32:56Z", 
    "id": "oai:repo.scoap3.org:86282", 
    "sets": [
      "NPB"
    ]
  }, 
  "authors": [
    {
      "surname": "Mandal", 
      "given_names": "Ipsita", 
      "affiliations": [
        {
          "country": "India", 
          "value": "Department of Physics, Shiv Nadar Institution of Eminence (SNIoE), Gautam Buddha Nagar, Uttar Pradesh, India"
        }, 
        {
          "country": "Germany", 
          "value": "Freiburg Institute for Advanced Studies (FRIAS), University of Freiburg, Freiburg, Germany"
        }
      ], 
      "full_name": "Mandal, Ipsita", 
      "orcid": "0000-0001-6981-5329", 
      "email": "ipsita.mandal@snu.edu.in"
    }
  ], 
  "_files": [
    {
      "checksum": "md5:67b9a5b13417cf6f0c1a25d9029add09", 
      "filetype": "xml", 
      "bucket": "1f3470a4-51a2-4c73-b13c-e677ddc5b737", 
      "version_id": "6a8dd65d-16a8-4797-96f5-82d0745855a1", 
      "key": "10.1016/j.nuclphysb.2024.116586.xml", 
      "size": 463236
    }, 
    {
      "checksum": "md5:8e96539427b01dd3dd880aad9192a02e", 
      "filetype": "pdf", 
      "bucket": "1f3470a4-51a2-4c73-b13c-e677ddc5b737", 
      "version_id": "ce3005f5-6ba1-4beb-b266-6e40e6305b07", 
      "key": "10.1016/j.nuclphysb.2024.116586.pdf", 
      "size": 1395904
    }
  ], 
  "record_creation_date": "2024-06-14T12:30:52.209502", 
  "titles": [
    {
      "source": "Elsevier", 
      "title": "Stable non-Fermi liquid fixed point at the onset of incommensurate 2 Charge Density Wave Order"
    }
  ], 
  "collections": [
    {
      "primary": "Nuclear Physics B"
    }
  ], 
  "dois": [
    {
      "value": "10.1016/j.nuclphysb.2024.116586"
    }
  ], 
  "publication_info": [
    {
      "journal_volume": "855 C", 
      "journal_title": "Nuclear Physics B", 
      "material": "article", 
      "artid": "116586", 
      "year": 2024
    }
  ], 
  "$schema": "http://repo.scoap3.org/schemas/hep.json", 
  "abstracts": [
    {
      "source": "Elsevier", 
      "value": "We consider the emergence of a non-Fermi liquid fixed point in a two-dimensional metal, at the onset of a quantum phase transition from a Fermi liquid state to an incommensurate charge density wave (CDW) ordered phase. The momentum of the CDW boson is centred at the wavevector <math><mi>Q</mi></math>, which connects a single pair of antipodal points on the Fermi surface with antiparallel tangent vectors. We employ the dimensional regularization technique in which the co-dimension of the Fermi surface is extended to a generic value, while keeping the dimension of the Fermi surface itself fixed at one. Although the system is strongly coupled at dimension <math><mi>d</mi><mo>=</mo><mn>2</mn></math>, the interactions become marginal at the upper critical dimension <math><mi>d</mi><mo>=</mo><msub><mrow><mi>d</mi></mrow><mrow><mi>c</mi></mrow></msub></math>, whose value is found to be 5/2. Using a controlled perturbative expansion in the parameter <math><mi>\u03f5</mi><mo>=</mo><msub><mrow><mi>d</mi></mrow><mrow><mi>c</mi></mrow></msub><mo>\u2212</mo><mi>d</mi></math>, we compute the critical exponents of the stable infrared fixed point characterizing the quantum critical point. The scalings of the original theory are determined by setting <math><mi>\u03f5</mi><mo>=</mo><mn>1</mn><mo>/</mo><mn>2</mn></math>, where the fermion self-energy is seen to scale with the frequency with a fractional power law of 2/3, which is the telltale signature of a typical non-Fermi liquid phase."
    }
  ], 
  "imprints": [
    {
      "date": "2024-06-04", 
      "publisher": "Elsevier"
    }
  ], 
  "acquisition_source": {
    "date": "2024-06-21T21:31:02.346639", 
    "source": "Elsevier", 
    "method": "Elsevier", 
    "submission_number": "69e1af42301511ef9fecbe60ec5a7b90"
  }
}
Published on:
04 June 2024
Publisher:
Elsevier
Published in:
Nuclear Physics B , Volume 855 C (2024)

Article ID: 116586
DOI:
https://doi.org/10.1016/j.nuclphysb.2024.116586
Copyrights:
The Author(s)
Licence:
CC-BY-3.0

Fulltext files: