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Abstract: We investigate the temperature region in which a Tomonaga-Luttinger liquidTLL description of the charge sector of the one-dimensional Hubbard model isvalid. By using the thermodynamic Bethe ansatz method, electron number iscalculated at finite temperatures and fixed chemical potential. We observemaximum electron number as a function of temperature close to the chemicalpotential of the upper critical value that corresponds to half filling. As thechemical potential approaches the upper critical value from below, thetemperature $T { m M}$ at which the electron number shows its maximumasymptotically approaches a universal relation. We show that, below the energycorresponding to $T { m M}$, the charge excitation spectrum nearly obeys alinear dispersion relation. The results demonstrate that $T { m M}$ marks theimportant temperature below which TLL is realized.



Author: Jun Maeda, Sei-ichiro Suga

Source: https://arxiv.org/







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