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N is just the one coming from the Fermi functions in Eq.. Within the Hubbard model we would instead get some temperature dependence, however only appreciable on a rather large energy scale.
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N is just the one coming from the Fermi functions in Eq.. Within the Hubbard model we would instead get some temperature dependence, however only appreciable on a rather large energy scale.
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For instance, at U=5D, the maximal magnetization (at T=0) for the Hubbard model is m=0.979, which correspond to the t-J solution at βD=46.6. This slight difference in temperature is naturally reduced with increasing U.
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For instance, at U = 5 D, the maximal magnetization (at T = 0) for the Hubbard model is m = 0.979, which correspond to the t - J solution at β D = 46.6. This slight difference in temperature is naturally reduced with increasing U.
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In other words, this means that if the chemical potential were rigidly shifted to the value of the first (low-energy) AF magnetic peak, this would behave as a coherent quasiparticle excitation (though strongly renormalized by Z∼D2U). A similar situation would occur, mutatis mutandis, in the case such an excitation were activated by an external perturbation of frequency ω of the size of the spectral gap, e.g., by an electromagnetic field, when measuring the optical conductivity σ(ω).
-
In other words, this means that if the chemical potential were rigidly shifted to the value of the first (low-energy) AF magnetic peak, this would behave as a coherent quasiparticle excitation (though strongly renormalized by Z ∼ D 2 U). A similar situation would occur, mutatis mutandis, in the case such an excitation were activated by an external perturbation of frequency ω of the size of the spectral gap, e.g., by an electromagnetic field, when measuring the optical conductivity σ (ω).
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