Non-Fermi liquid and Weyl superconductivity from the weakly interacting 3D electron gas at high magnetic fields

Nandagopal Manoj; Valerio Peri; Jason Alicea

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arXiv · 2602.11396

Non-Fermi liquid and Weyl superconductivity from the weakly interacting 3D electron gas at high magnetic fields

Nandagopal Manoj·Valerio Peri·Jason Alicea

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Abstract

Three-dimensional electron gases in strong magnetic fields host partially flat bands that disperse along the field direction yet exhibit Landau-level quantization in the transverse dimensions. Early work established that for spin-polarized electrons confined to the lowest Landau level band, repulsion triggers a charge density wave (CDW) in which electrons 'self-layer' into integer quantum Hall states, while attraction generates a non-Fermi liquid (rather than a superconductor). We revisit this problem with physically motivated deformations -- including generalized local interactions, higher Landau level bands, restoration of spin, and explicit breaking of spatial symmetries -- paying particular attention to the competition between CDWs and superconductivity. Our main findings are: (1) Generic local interactions can stabilize a nematic CDW in which integer quantum Hall layers spontaneously 'tilt', yielding unconventional Hall response. (2) We numerically establish that the non-Fermi liquid appears stable to perturbations that preserve effective dipole conservation symmetries that emerge within a Landau level band. (3) Upon explicitly breaking translation symmetry, attraction catalyzes a novel layered superconductor that hosts Weyl nodes, superconducts within each layer, and insulates transverse to the layers. These results expand the rich phenomenology of interacting bulk electrons in the high-field regime and potentially inform the design of field-resistant superconductivity in low-carrier-density materials.

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Nandagopal Manoj, Valerio Peri, Jason Alicea. 2026-02-11. Non-Fermi liquid and Weyl superconductivity from the weakly interacting 3D electron gas at high magnetic fields. https://arxiv.org/abs/2602.11396

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