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The ASF (1) is a scalar, and it can be written as a scalar product of two tensors [22, 24]. When we state, with a slight abuse of notation, that a symmetry operator acts on the ASF, we mean that just one of the two tensors is transformed accordingly.
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- leads to another, degenerate, ground state, that we neglect now as it is irrelevant to our purpose. This kind of degeneracy is lifted by the spin-orbit interaction, as detailed in Ref. [17].
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49
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13444264308
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note
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Of course all numbers are important only as an order of magnitude: the "true" ground-state of the Hubbard Hamiltonian has extra contributions as clear from Ref. [16]. Here we try to pick up the main points, for clarity, even if to the prejudice of precision.
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