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Tilted Dirac superconductor at quantum criticality: restoration of Lorentz symmetry
Departamento de Física, Universidad Técnica Federico Santa María, Casilla 110, Valparaíso, Chile.
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA. Departamento de Física, Universidad Técnica Federico Santa María, Casilla 110, Valparaíso, Chile; Nordita, Stockholm University, Hannes Alfvéns väg 12, SE-106 91, Stockholm, Sweden.ORCID iD: 0000-0002-3000-5393
2024 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, Vol. 2024, no 2, article id 181Article in journal (Refereed) Published
Abstract [en]

Lorentz symmetry appears as a quite robust feature of the strongly interacting Dirac materials even though the lattice interactions break such a symmetry. We here demonstrate that the Lorentz symmetry is restored at the quantum-critical point (QCP) separating the tilted Dirac semimetal, breaking this symmetry already at the noninteracting level, from a gapped s-wave superconducting instability. To this end, we employ a one-loop ϵ = (3 − D)-expansion close to the D = 3 upper critical dimension of the corresponding Gross-Neveu-Yukawa field theory. In particular, we show that the tilt parameter is irrelevant and ultimately vanishes at the QCP separating the two phases. In fact, as we argue here, such a Lorentz symmetry restoration may be generic for the strongly interacting tilted Dirac semimetals, irrespective of whether they feature mirror-symmetric or mirror-asymmetric tilting, and is also insensitive to whether the instability represents an insulator or a gapped superconductor. The proposed scenario can be tested in the quantum Monte Carlo simulations of the interacting tilted Dirac fermion lattice models.

Place, publisher, year, edition, pages
Springer Nature , 2024. Vol. 2024, no 2, article id 181
Keywords [en]
Field Theories in Lower Dimensions, Renormalization Group
National Category
Subatomic Physics
Identifiers
URN: urn:nbn:se:kth:diva-366972DOI: 10.1007/JHEP02(2024)181ISI: 001172902800001Scopus ID: 2-s2.0-85186262353OAI: oai:DiVA.org:kth-366972DiVA, id: diva2:1983914
Note

QC 20250714

Available from: 2025-07-14 Created: 2025-07-14 Last updated: 2025-07-14Bibliographically approved

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Juričić, Vladimir

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