A systematic method maps interacting fermion Hamiltonians to Majorana space, classifies their continuous symmetries with semisimple Lie algebra theory, and enumerates order parameters by decomposing induced representations while adding discrete lattice symmetries.
Given the local degrees of freedom A B sublattice ⊗ c† c particle-hole ⊗ 1 2 layer ⊗ ↑ ↓ spin , we systematically identify the invariant subspaces of the Lie algebra
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Continuous symmetry analysis and systematic identification of candidate order parameters for interacting fermion models
A systematic method maps interacting fermion Hamiltonians to Majorana space, classifies their continuous symmetries with semisimple Lie algebra theory, and enumerates order parameters by decomposing induced representations while adding discrete lattice symmetries.