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Journal of the Physical Society of Japan

Dimer Character of the Ground State of the One Dimensional t-J-J' Model

Kazuhiro Sano, Ken'ichi Takano

Published Feb 15, 1993• 0 citations
Publisher
DOI
10.1143/jpsj.62.834

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The ground state of the one-dimensional dimerized $t\ensuremath{-}J$ model at quarter filling is studied by a Lanczos exact-diagonalization technique on small clusters. We calculate the charge gap, spin gap, binding energy, Tomonaga-Luttinger-liquid parameter, Drude weight, anomalous flux quantization, etc. We thereby show that the two types of dimerization, i.e., a dimerization of hopping integral and a dimerization of exchange interaction play a mutually competing role in controlling the ground state of the system and this leads to the emergence of various phases including the Mott insulating, Tomonaga-Luttinger-liquid, and spin-gap-liquid phases. The ground-state phase diagram of the model is given on the parameter space of the dimerizations.