# Phase transitions in the one-dimensional pair-hopping model: A renormalization-group study.

@article{Sikkema1995PhaseTI, title={Phase transitions in the one-dimensional pair-hopping model: A renormalization-group study.}, author={Sikkema and Affleck}, journal={Physical review. B, Condensed matter}, year={1995}, volume={52 14}, pages={ 10207-10213 } }

The phase diagram of a one-dimensional tight-binding model with a pair-hopping term (amplitude V) has been the subject of some controversy. Using two-loop renormalization-group equations and the density matrix renormalization group with lengths L\ensuremath{\le}60, we argue that no spin-gap transition occurs at half-filling for positive V, contrary to recent claims. However, we point out that away from half-filling, a phase-separation transition occurs at finite V. This transition and the spin…

## 13 Citations

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