Abstract
The band effects on the conductivity of a one-dimensional two-band Hubbard model is studied based on the ground state energy analysis. It is found that the system with filling factor one is a metal at zero temperature if the on-site interaction U is smaller than a critical value Uc, and is an insulator if U is larger than Uc. The value of metal-insulator transition point Uc is obtained. This result is different from that of 1D single-band Hubbard model where the quantum phase transition point Uc=0. Therefore, the orbital degree of freedom plays an essential role in the states of matter.
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References
M. Imada, A. Fujimori, Y. Tokura, Rev. Mod. Phys. 70, 1039 (1998)
Y. Tokura, N. Nagaosa, Science 288, 462 (2000)
Y. Kamihara, T. Watanabe, M. Hirano, H. Hosono, J. Am. Chem. Soc. 130, 3296 (2008)
X.H. Chen, T. Wu, G. Wu, R.H. Liu, H. Chen, D.F. Fang, Nature 453, 761 (2008)
G.F. Chen, Z. Li, D. Wu, G. Li, W.Z. Hu, J. Dong, P. Zheng, J.L. Luo, N.L. Wang, Phys. Rev. Lett. 100, 247002 (2008)
Z.A. Ren et al., Chin. Phys. Lett. 25, 2215 (2008)
Z.A. Ren et al., Europhys. Lett. 82, 57002 (2008)
H.H. Wen et al., Europhys. Lett. 82, 17009 (2008)
H. Takahashi et al., Nature 453, 376 (2008)
C. Wu, D. Bergman, L. Balents, S. Das Sarma, Phys. Rev. Lett. 99, 070401 (2007)
E. Zhao, W.V. Liu, Phy. Rev. Lett. 100, 160403 (2008)
C. Wu, Phys. Rev. Lett. 100, 200406 (2008)
L. Wang, X. Dai, S. Chen, X.C. Xie, e-print arXiv:0805.2719
S. Zhang, C. Wu, e-print arXiv:0805.3031
K. Wu, H. Zhai, Phys. Rev. B 77, 174431 (2008)
E.H. Lieb, F.Y. Wu, Phys. Rev. Lett. 25, 1445 (1968)
Y.Q. Li, M. Ma, D.N. Shi, F.C. Zhang, Phys. Rev. Lett. 81, 3527 (1998)
Y.Q. Li, S.J. Gu, Z.J. Ying, U. Eckern, Phys. Rev. B 62, 4866 (2000)
T.C. Choy, Phys. Lett. A 80, 49 (1980)
T.C. Choy, F.D.M. Haldane, Phys. Lett. A 90, 83 (1982)
P. Schlotmann, Phys. Rev. B 43, 3101 (1991)
H. Frahm, A. Schadschneider, The Hubbard model: Its Physics and Mathematical Physics, edited by D. Baeriswyl et al., D. K. Campbell, J.M.P. Carmelo, F. Guinea, E. Louis (Plenum Press, New York, 1995)
P. Schlottmann, Int. J. Mod. Phys. B 11, 355 (1997)
F.H.L. Essler, H. Frahm, F. Göhmann, A. Klümper, V.E. Korepin, The one-dimensional Hubbard model (Cambridge University Press, Cambridge, 2005)
H. Frahm, A. Schadschneider, J. Phys. A: Math. Gen. 26, 1463 (1993)
W. Kohn, Phys. Rev. 133, 171 (1964)
N. Byers, C.N. Yang, Phys. Rev. Lett. 7, 46 (1986)
B.S. Shastry, B. Sutherland, Phys. Rev. Lett. 65, 243 (1990)
J.M.P. Carmelo, A.H. Castro Neto, D.K. Campbell, Phys. Rev. Lett. 73, 926 (1994)
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Gu, SJ., Cao, J., Chen, S. et al. Band effects on the conductivity for a two-band Hubbard model. Eur. Phys. J. B 66, 477–481 (2008). https://doi.org/10.1140/epjb/e2008-00462-8
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DOI: https://doi.org/10.1140/epjb/e2008-00462-8