One-Dimensional Hubbard Models

Huan-Qiang Zhou, Lin-Jie Jiang, Jian-Gang Tang

Ambiguities in the Lax pairs for a one-dimensional small-polaron model and the one-dimensional Hubbard model are discussed.

V. E. Korepin, Fabian H. L. Eßler

Philip Warren Anderson

We demonstrate, by direct use of the asymptotic Green's functions of Korepin and Ren, that the one-dimensional repulsive U Hubbard model has the property of ``confinement,'' in that weak interchain coupling does not cause coherent particle motion in the transverse direction at absolute zero. Implications for real one-dimensional systems and for the two-dimensional Hubbard model are discussed.

Yupeng Wang, Wen‐Li Yang, Junpeng Cao +1 more

Élliott H. Lieb, Fa Yueh Wu

Minoru Takahashi

Journal of the Physical Society of Japan 59 (1990) pp. 1357-1365 Thermodynamic Quantities of the One-Dimensional Hubbard Model at Finite Temperatures Tatsuya Usuki, Norio Kawakami and Ayao Okiji Journal of the Physical Society of Japan 60 (1991) pp. 1460-1463 Temperature Dependence of Spin Correlation Length of Half-Filled One-Dimensional Hubbard Model Hirokazu Tsunetsugu Journal of the Physical Society of Japan 60 (1991) pp. 3754-3760 Dynamical Propertiesof the One-Dimensional Hubbard Model–A Numerical Study– Hiromi Otsuka Journal of the Physical Society of Japan 64 (1995) pp. 4331-4344 Logarithmic Correction Terms of the Magnetic Susceptibility in Highly Correlated Electron Systems Kenro Kawano and Minoru Takahashi Journal of the Physical Society of Japan 70 (2001) pp. 3398-3418 Filling-Control Metal-Insulator Transition in the Hubbard Model Studied by the Operator Projection Method Shigeki Onoda and Masatoshi Imada Progress of Theoretical Physics Vol. 47 No. 1 (1972) pp. 69-82 One-Dimensional Hubbard Model at Finite Temperature Minoru Takahashi Progress of Theoretical Physics Vol. 48 No. 6 (1972) pp. 2171-2186 Thermodynamic Properties of the One-Dimensional Half-Filled-Band Hubbard Model. II Hiroyuki Shiba Progress of Theoretical Physics Vol. 52 No. 1 (1974) pp. 103-114 Low-Temperature Specific-Heat of One-Dimensional Hubbard Model Minoru Takahashi Progress of Theoretical Physics Vol. 53 No. 4 (1975) pp. 955-969 Possible Phases and Some Properties of the One-Dimensional Metal with the Half-Filled Band Minoru Kimura Progress of Theoretical Physics Vol. 54 No. 4 (1975) pp. 1039-1049 Long-Range Orders in Ground States and Collective Modes in One- and Two-Dimensional Models Satoshi Takada Progress of Theoretical Physics Vol. 64 No. 3 (1980) pp. 758-769 Magnetic Susceptibility of the Strongly Correlated Hubbard Model Kenn Kubo