• Accepted Paper

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

Nandagopal Manoj, Valerio Peri, and Jason Alicea

Phys. Rev. B - Accepted 16 October, 2026

DOI: https://doi.org/10.1103/fqt4-r232

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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