Abstract
We examined the one-dimensional t-t′-J-J′ model in the one-hole case by the numerical diagonalization. We found a soliton (bound state) consisting of the hole and a singlet pair in a ferromagnetic background for t′ > 0 and J < 0 and another soliton of the hole and a triplet pair in a singlet background for t′ > 0 and J < 0. We also found that a dimer state persists for J′ ≈ J/2(> 0) and t′=0.
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References
P.W. Anderson, Science 235, 1196 (1987).
I. Doi, K. Sano and K. Takano, to be published in Phys. Rev. B.
K. Takano and K. Sano, Phys. Rev. B39, 7367 (1989).
C.K. Majumdar, J. Phys. C3, 911 (1970);
C.K. Majumdar and D.K. Gosh, J. Math. Phys. 10, 1399 (1969);
F.D.M. Haldane Phys. Rev. B25, 4925 (1982);
T. Tonegawa and I. Harada, J. Phys. Soc. Jpn. 56, 2153 (2153).
I. Doi, K. Sano and K. Takano, Physica B165&166, 1025 (1990).
M. Ogata, M.U. Luchini and T.M. Rice, preprint.
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© 1992 Springer-Verlag Berlin Heidelberg
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Takano, K., Sano, K., Doi, I. (1992). Numerical Study on the t-t′—J-J′ Model. In: Miyashita, S., Imada, M., Takayama, H. (eds) Computational Approaches in Condensed-Matter Physics. Springer Proceedings in Physics, vol 70. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84821-6_19
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DOI: https://doi.org/10.1007/978-3-642-84821-6_19
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