The states of a simple Hubbard model fall into representations of the su (2) spin algebra and of an su (2) pairing algebra. A half-filled band momentum eigenstate has off-diagonal long-range order (ODLRO) if it belongs to an irreducible representation with pairing spin η > ( N - s )/3, N being the number of lattice sites and s the spin of the representation.
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M. Pernici (1990) studied this question.
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