DMRG study of the spin gap in a one dimensional Hubbard model: effect of the distant transfer and exchange coupling

Details DMRG study of the spin gap in a one dimensional Hubbard model: effect of the distant transfer and exchange coupling DMRG study of the spin gap in a one dimensional Hubbard model: effect of the distant transfer and exchange coupling

1997-12-12

arxiv.org/abs/cond-mat/9712134v1

Physics

Condensed Matter

11 pages, RevTex, 5 figures in Postscript, to be published in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.57.10324

The spin gap of a one-dimensional repulsive Hubbard model is numerically calculated with the density matrix renormalization group, with a special emphasis on the effect of a next-nearest neighbor hopping (t') and the nearest-neighbor ferromagnetic exchange (J) interaction. At half-filling, a significant spin gap opens if |t'| \simeq |t| and J=0, in agreement with the weak coupling theory, while the gap is strongly suppressed by the introduction of J. On the other hand, the quarter-filled system has very small spin gaps regardless of the values of t' and J. Implications for the CuO_2 chain in Sr_{14}Cu_{24}O_{41} and related materials are discussed.

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