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arXiv · 2512.24076

Exactly Solvable Models Hosting Altermagnetic Quantum Spin Liquids

João Augusto Sobral·Pietro M. Bonetti·Subrata Mandal·Mathias S. Scheurer
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Abstract

We construct spin-$3/2$ and spin-$7/2$ models on the square-octagon and checkerboard lattices that are exactly solvable with Majorana representations. They give rise to spin-liquid phases with full spin-rotation and lattice-translational symmetries but broken time-reversal symmetry. Although non-zero on elementary plaquettes, the net orbital magnetic moment is guaranteed to vanish as a result of point symmetries; due to the analogy to long-range ordered altermagnets, these types of phases were dubbed altermagnetic spin liquids in [Phys. Rev. Research 7, 023152 (2025)]. For the spin-$3/2$ model, we find that a $g$-wave altermagnetic spin liquid emerges as the unique ground state. In contrast, the spin-7/2 model exhibits a significantly richer phase diagram, involving different types of chiral spin liquids competing with a $d$-wave altermagnetic spin liquid. Finally, we identify and characterize the topological and non-topological excitations, illustrating the rich physics of altermagnetic spin liquids resulting from the interplay of non-trivial topological and symmetry aspects of this novel phase of matter.

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João Augusto Sobral, Pietro M. Bonetti, Subrata Mandal, Mathias S. Scheurer. 2025-12-30. Exactly Solvable Models Hosting Altermagnetic Quantum Spin Liquids. https://arxiv.org/abs/2512.24076

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