Non-Fermi-liquid behaviour of electrons coupled to gauge phonons
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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866915872779534336 |
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| author | Gholap, Rutvij Ermakov, Alexey Kazantsev, Alexander Bahramy, Mohammad Saeed Polini, Marco Principi, Alessandro |
| author_facet | Gholap, Rutvij Ermakov, Alexey Kazantsev, Alexander Bahramy, Mohammad Saeed Polini, Marco Principi, Alessandro |
| contents | We identify overdamped gauge phonons as a new microscopic route to non-Fermi-liquid behaviour in Dirac materials. These phonons couple to electronic currents rather than densities, thereby realising a lattice analogue of transverse gauge-field mechanisms without requiring proximity to a quantum critical point. By computing the electronic self-energy with a phonon propagator dressed by electron-phonon interactions, we show that the low-energy behaviour is controlled by the orbital susceptibility chi and a dimensionless damping parameter alpha. In the overdamped regime, alpha >> 1, quasiparticles display strong deviations from Fermi-liquid theory. For chi > 0, Fermi-liquid behaviour persists only in a parametrically narrow infrared window before crossing over to non-Fermi-liquid scaling. For chi < 0, the Fermi-liquid regime is replaced by marginal-Fermi-liquid behaviour at the lowest energies, followed by a crossover to non-Fermi-liquid scaling. These results establish strain- induced gauge phonons as a promising source of anomalous metallic behaviour in systems such as twisted bilayer graphene. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2603_17937 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Non-Fermi-liquid behaviour of electrons coupled to gauge phonons Gholap, Rutvij Ermakov, Alexey Kazantsev, Alexander Bahramy, Mohammad Saeed Polini, Marco Principi, Alessandro Strongly Correlated Electrons Mesoscale and Nanoscale Physics We identify overdamped gauge phonons as a new microscopic route to non-Fermi-liquid behaviour in Dirac materials. These phonons couple to electronic currents rather than densities, thereby realising a lattice analogue of transverse gauge-field mechanisms without requiring proximity to a quantum critical point. By computing the electronic self-energy with a phonon propagator dressed by electron-phonon interactions, we show that the low-energy behaviour is controlled by the orbital susceptibility chi and a dimensionless damping parameter alpha. In the overdamped regime, alpha >> 1, quasiparticles display strong deviations from Fermi-liquid theory. For chi > 0, Fermi-liquid behaviour persists only in a parametrically narrow infrared window before crossing over to non-Fermi-liquid scaling. For chi < 0, the Fermi-liquid regime is replaced by marginal-Fermi-liquid behaviour at the lowest energies, followed by a crossover to non-Fermi-liquid scaling. These results establish strain- induced gauge phonons as a promising source of anomalous metallic behaviour in systems such as twisted bilayer graphene. |
| title | Non-Fermi-liquid behaviour of electrons coupled to gauge phonons |
| topic | Strongly Correlated Electrons Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2603.17937 |