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  Emergent chiral symmetry in a three-dimensional interacting Dirac liquid

Szabó, A. L., & Roy, B. (2021). Emergent chiral symmetry in a three-dimensional interacting Dirac liquid. Journal of high energy physics, 2021(1): 4. doi:10.1007/JHEP01(2021)004.

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2009.05055.pdf (Preprint), 815KB
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Szabó, András L.1, Author           
Roy, Bitan2, Author
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1Max Planck Institute for the Physics of Complex Systems, Max Planck Society, ou_2117288              
2external, ou_persistent22              

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 MPIPKS: Dynamics on nanoscale systems
 Abstract: We compute the effects of strong Hubbardlike local electronic interactions on three-dimensional four-component massless Dirac fermions, which in a noninteracting system possess a microscopic global U(1) circle times SU(2) chiral symmetry. A concrete lattice realization of such chiral Dirac excitations is presented, and the role of electron-electron interactions is studied by performing a field theoretic renormalization group (RG) analysis, controlled by a small parameter E with E = d-1, about the lower-critical one spatial dimension. Besides the noninteracting Gaussian fixed point, the system supports four quantum critical and four bicritical points at nonvanishing interaction couplings similar to E. Even though the chiral symmetry is absent in the interacting model, it gets restored (either partially or fully) at various RG fixed points as emergent phenomena. A representative cut of the global phase diagram displays a confluence of scalar and pseudoscalar excitonic and superconducting (such as the s-wave and p-wave) mass ordered phases, manifesting restoration of (a) chiral U(1) symmetry between two excitonic masses for repulsive interactions and (b) pseudospin SU(2) symmetry between scalar or pseudoscalar excitonic and superconducting masses for attractive interactions. Finally, we perturbatively study the effects of weak rotational symmetry breaking on the stability of various RG fixed points.

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 Dates: 2021-01-042021-01-04
 Publication Status: Issued
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 Identifiers: ISI: 000607877600002
DOI: 10.1007/JHEP01(2021)004
arXiv: 2009.05055
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Title: Journal of high energy physics
  Other : Journal of high energy physics: JHEP
Source Genre: Journal
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Publ. Info: Bologna : Società italiana di fisica
Pages: - Volume / Issue: 2021 (1) Sequence Number: 4 Start / End Page: - Identifier: ISSN: 1126-6708
CoNE: https://pure.mpg.de/cone/journals/resource/111021927548002