The significance of some transformations of the Hubbard model with an arbitrarily occupied symmetric band in a magnetic field is studied. The repulsion‐attraction transformation yields nontrivial relations between solutions of the Hubbard model with a positive and a negative correlation energy, respectively. As an example, the connection between an antiferromagnet in a magnetic field and a superconductor with a non‐half‐filled band is discussed.
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J. Mertsching (1977) studied this question.
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