Abstract.
Using the deformed Hubbard operator approach, we analytically study weak-coupling phase diagram of the one-dimensional t-J-V model at half filling. In the case of small deformed parameter ζ(≪1), the interactions induced by the no double occupancy constraint are softened, accessible by the bosonization field theory and the renormalization group technique. The ground state exhibits insulating behavior of density-wave correlations. The bond-spin-density-wave (BSDW) and bond-charge-density-wave (BCDW) phases are realized in the whole weak-coupling regime while the charge-density-wave (CDW) and spin-density-wave (SDW) phases depend on V/J > (V/J) c or V/J < (V/J) c , where (V/J) c = 1/4. Furthermore, our results are expected to adiabatically continue back to ζ = 1.
Similar content being viewed by others
References
P.W. Anderson, Science 235, 1196 (1987)
F.C. Zhang, T.M. Rice, Phys. Rev. B 37, 3759 (1988)
P.W. Anderson, Phys. Rev. Lett. 64, 1839 (1990)
P.W. Anderson, Int. J. Mod. Phys. B 4, 181 (1990)
V.J. Emery, S.A. Kivelson, H.Q. Lin, Phys. Rev. Lett. 64, 475 (1990)
S.A. Kivelson, V.J. Emery, H.Q. Lin, Phys. Rev. B 42, 6523 (1990)
J.E. Hirsh, Phys. Rev. Lett. 54, 1317 (1985)
M. Ogata, H. Shiba, Phys. Rev. B 41, 2326 (1990)
E.H. Lieb, F.Y. Wu, Phys. Rev. Lett. 20, 1445 (1968)
B. Sutherland, Phys. Rev. B 12, 3795 (1975)
P.A. Bares, G. Blatter, Phys. Rev. Lett. 64, 2567 (1990)
P. Schlottmann, Phys. Rev. B 36, 5177 (1987)
N. Kawakami, S.K. Yang, Phys. Rev. Lett. 65, 2309 (1990)
M. Ogata, M. Luchin, S. Sorella, F.F. Assaad, Phys. Rev. Lett. 18, 2388 (1991)
F.F. Assaad, D. Wûrtz, Phys. Rev. B 44, 2681 (1991)
M. Ogata, M.U. Luchini, T.M. Rice, Phys. Rev. B 44, 12083 (1991)
P. Coleman, Phys. Rev. B 29, 3852 (1984)
N. Read, D.M. Newns, S. Doniach, Phys. Rev. B 30, 3841 (1984)
P. Coleman, C. Pepin, A.M. Tsvelik, Phys. Rev. B 62, 3852 (2000)
G.H. Chen, Y.S. Wu, Phys. Rev. B 66, 155111 (2002)
K. Takada et al., Nature (London) 422, 53 (2003)
W.H. Zhang, J. Oitmaa, C.J. Hamer, R.P. Singh, Phys. Rev. B 78, 020504 (2004)
A. Greco, J. Merino, A. Foussats, R.H. Mckenzie, Phys. Rev. B 71, 144502 (2005)
M. Bejs, A. Greco, J. Merino, A. Muramatsu, A. Foussats, Phys. Rev. B 71, 144502 (2008)
J. Hubbard, Proc. R. Soc. Lond. A 276, 238 (1963)
J. Solyom, Adv. Phys. 28, 201 (1979)
V.J. Emery, in Highly Conducting One-Dimensional Solids, edited by J.T. Devreese et al. (Plenum, New York, 1979)
J. Voit, Phys. Rev. B 45, 4027 (1992)
J. Voit, Rep. Prog. Phys. 28, 977 (1995)
A.O. Gogolin, A.A. Nersesyan, A.M. Tsvelik, Bosonization and Strongly Correlated Systems (Cambridge University Press, 1998)
H.J. Schulz, Phys. Rev. Lett. 64, 2831 (1990)
F.D.M. Haldane, J. Phys. C 14, 2585 (1981)
J.W. Cannon, E. Fradkin, Phys. Rev, B 41, 9435 (1990)
E.B. Kolomeisky, J.P. Straley, Rev. Mod. Phys. 68, 175 (1996)
J. Voit, in Interacting Electrons in Reduced Dimensions, edited by D. Baeriswyl, D.K. Campbell (Plenum, New York, 1989)
M. Nakamura, Phys. Rev. B 61, 16377 (2000)
G.I. Japaridze, E. Müller-Hartmann, Phys. Rev. B 61, 9019 (2000)
A.A. Aliaia, L. Arrachea, Phys. Rev. B 60, 15332 (1999)
J.H. Dai, X.Y. Feng, T. Xiang, Phys. Rev. B 70, 064518 (2004)
G.I. Japaridze, A.P. Kampf, Phys. Rev. B 59, 12822 (1999)
Y.W. Lee, Y.L. Lee, Eur. Phys. J. B 37, 7 (2004)
X. Huang, E. Szirmai, F. Gebhand, J. Solyom, R.M. Noack, Phys. Rev. B 78, 085128 (2008)
P. Wiegmann, J. Phys. C 11, 1583 (1978)
M. Nakamura, J. Phys. Soc. Jpn 67, 717 (1998)
F.D.M. Haldane, J. Phys. C 14, 2585 (1981)
A.A. Nersesyan, Phys. Lett. A 153, 49 (1991)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Ding, H., Wang, Y. Insulating phases of the one-dimensional t-J model with nearest-neighbor repulsive interaction. Eur. Phys. J. B 79, 169–175 (2011). https://doi.org/10.1140/epjb/e2010-10913-2
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjb/e2010-10913-2