Hyperspatial projections of decorated Ammann-Beenker and Penrose lattices host interaction-induced Néel order that realizes g-wave and h-wave altermagnetism compatible with quasicrystalline symmetries.
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Higher-order topological phases can be protected solely by the bulk gap, fundamental symmetries, and the global topology of the system shape via its genus, independent of crystalline symmetries.
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Unconventional Altermagnetism in Quasicrystals: A Hyperspatial Projective Construction
Hyperspatial projections of decorated Ammann-Beenker and Penrose lattices host interaction-induced Néel order that realizes g-wave and h-wave altermagnetism compatible with quasicrystalline symmetries.
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Genus-protected higher-order topological phases
Higher-order topological phases can be protected solely by the bulk gap, fundamental symmetries, and the global topology of the system shape via its genus, independent of crystalline symmetries.