Extended s-wave altermagnets are introduced as fully gapped spin-compensated states with isotropic spin splitting arising from valley-exchange symmetries, shown via effective two-valley and microscopic models with guiding principles for identification.
For density-density type inter-valley in- teractions, the Hamiltonian remains symmetric under arbitrary rotations in valley space resulting in valley- SU (2) [56]
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Extended s-wave altermagnets
Extended s-wave altermagnets are introduced as fully gapped spin-compensated states with isotropic spin splitting arising from valley-exchange symmetries, shown via effective two-valley and microscopic models with guiding principles for identification.