Abstract
Two kinds of phase transitions observed in the half-filled Peierls-Hubbard chain with the next-nearest-neighbor hopping integral are investigated. In the uniform case, according to the conformal field theory prediction, we numerically determine a phase boundary between the spin-fluid and dimer states. Then, the criticality of the spin-Peierls transition (i.e., powerlaw dependences of the energy gain and spin gap on the lattice dimerization parameter) is argued on the phase boundary.
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