Universal Temperature Dependence of Electron Number in One-Dimensional Hubbard Model

We investigate the temperature region in which a Tomonaga-Luttinger liquid (TLL) description of the charge sector of the one-dimensional Hubbard model is valid. By using the thermodynamic Bethe ansatz method, electron number is calculated at finite temperatures and fixed chemical potential. We obser...

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Bibliographic Details
Published in:Journal of the Physical Society of Japan 2009-10, Vol.78 (10), p.104719
Main Authors: MAEDA, Jun, SUGA, Sei-Ichiro
Format: Article
Language:English
Subjects:
Condensed matter: electronic structure, electrical, magnetic, and optical properties
Electron states
Exact sciences and technology
Physics
Theories and models of many electron systems
Citations: Items that this one cites
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Summary:We investigate the temperature region in which a Tomonaga-Luttinger liquid (TLL) description of the charge sector of the one-dimensional Hubbard model is valid. By using the thermodynamic Bethe ansatz method, electron number is calculated at finite temperatures and fixed chemical potential. We observe maximum electron number as a function of temperature close to the chemical potential of the upper critical value that corresponds to half filling. As the chemical potential approaches the upper critical value from below, the temperature (TM) at which the electron number shows its maximum asymptotically approaches a universal relation. We show that, below the energy corresponding to TM, the charge excitation spectrum nearly obeys a linear dispersion relation. The results demonstrate that TM marks the important temperature below which TLL is realized.
ISSN:0031-9015
1347-4073
DOI:10.1143/jpsj.78.104719