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Magnetization of Electronic Ground States in Frustrated Superstable Graphs

F. P. M. Méndez-Córdoba1,2,3,4,*, J. Tindall5, D. Jaksch1,2,6, and F. Schlawin1,2,3

  • *Contact author: fp.mendez10@uniandes.edu.co
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Phys. Rev. Lett. 137, 076501 – Published 10 August, 2026

DOI: https://doi.org/10.1103/wqwf-3cbl

Abstract

Geometric frustration lies at the heart of many unconventional quantum phases in strongly interacting electron systems. Here, we analytically determine the ground state magnetization of the half-filled Hubbard model on frustrated geometries where superstable states—eigenstates which are robust against frustration—are manifest. Our results apply to a broad class of lattices, including those where altermagnetic and superconducting states are known to emerge. Furthermore, they provide evidence for phase transitions involving a geometric rearrangement of magnetic correlations in the thermodynamic limit.

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Phys. Rev. Lett. 137, 076501– Published 10 August, 2026
  • Received 22 September 2025
  • Revised 6 July 2026
  • Accepted 17 July 2026
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