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

Abstract

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.

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

References in corpus (4)

• The N-chain Hubbard Model in Weak Coupling
• Electronic Structures of Sr_{14-x}Ca_{x}Cu24O41
• DMRG study of ferromagnetism in a one-dimensional Hubbard model
• Numerical study of a superconductor-insulator transition in a half-filled Hubbard chain with distant transfers

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