Nagaoka's theorem in the Holstein-Hubbard model
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🧮 math-ph
math.MP
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nagaokaferromagnetismmodelholstein-hubbardstabletheoremaccountelectron-phonon
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Nagaoka's theorem on ferromagnetism in the Hubbard model is extended to the Holstein-Hubbard model. This shows that Nagaoka's ferromagnetism is stable even if the electron-phonon interaction is taken into account. We also prove that Nagaoka's ferromagnetism is stable under the influence of the quantized radiation field.
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