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Prog. Theor. Phys. Vol. 48 No. 6 (1972) pp. 2171-2186

[ Full Text PDF : FREE ACCESS (1410K) ]

Thermodynamic Properties of the One-Dimensional Half-Filled-Band Hubbard Model. II

— Application of the Grand Canonical Method —

Hiroyuki Shiba

Department of Physics, University of California, Los Angeles, California 90024

(Received June 14, 1972)

Abstract:

In order to determine finite-temperature properties of the infinite one-dimensional Hubbard model for the half-filled band, finite systems such as chains with 2 to 5 atoms and rings with 4 and 6 atoms are studied with the application of the grand canonical ensemble. The obtained temperature dependence of the specific heat, the entropy, the magnetic susceptibility and some correlation functions clearly shows a rearrangement of the electronic state of the system with the increase of the strength of the Coulomb interaction relative to the transfer integral. In the light of our new results the functional integral approach recently proposed by Kimball and Schrieffer as well as Hubbard's approximate theory is examined.


URL : http://ptp.ipap.jp/link?PTP/48/2171/
DOI : 10.1143/PTP.48.2171

[ Full Text PDF : FREE ACCESS (1410K) ] Citation:

References:

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  19. Progress of Theoretical Physics Vol. 52 No. 5 (1974) pp. 1716-1718 :
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  20. Progress of Theoretical Physics Vol. 53 No. 4 (1975) pp. 955-969 :
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  21. Progress of Theoretical Physics Vol. 108 No. 1 (2002) pp. 59-101 :
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  22. Progress of Theoretical Physics Supplement No.106 (1991) pp. 63-73 :
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  23. Progress of Theoretical Physics Supplement No.108 (1992) pp. 265-286 :
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