Tilted Dirac superconductor at quantum criticality: Restoration of Lorentz symmetry
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866913246356701184 |
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| author | Reiser, Pablo Juricic, Vladimir |
| author_facet | Reiser, Pablo Juricic, Vladimir |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_12797 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Tilted Dirac superconductor at quantum criticality: Restoration of Lorentz symmetry Reiser, Pablo Juricic, Vladimir Superconductivity Mesoscale and Nanoscale Physics Strongly Correlated Electrons High Energy Physics - Theory 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. |
| title | Tilted Dirac superconductor at quantum criticality: Restoration of Lorentz symmetry |
| topic | Superconductivity Mesoscale and Nanoscale Physics Strongly Correlated Electrons High Energy Physics - Theory |
| url | https://arxiv.org/abs/2311.12797 |