English

Phase Transitions in the One-Dimensional Pair-Hopping Model: a Renormalization Group Study

Condensed Matter 2009-10-28 v1

Abstract

The phase diagram of a one-dimensional tight-binding model with a pair-hopping term (amplitude V) has been the subject of some controvery. Using two-loop renormalization group equations and the density matrix renormalization group with lengths L<=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-gap transition occuring at half-filling and *negative* V are analyzed numerically.

Keywords

Cite

@article{arxiv.cond-mat/9505006,
  title  = {Phase Transitions in the One-Dimensional Pair-Hopping Model: a Renormalization Group Study},
  author = {Arnold Sikkema and Ian Affleck},
  journal= {arXiv preprint arXiv:cond-mat/9505006},
  year   = {2009}
}

Comments

7 pages RevTeX, 6 uuencoded figures which can be (and by default are) directly included. Received by Phys. Rev. B 20 April 1995

R2 v1 2026-07-22T11:49:40.227Z