English

Spin-chirality duality in a spin ladder with four-spin cyclic exchange

Strongly Correlated Electrons 2009-11-07 v2

Abstract

Effect of four-spin cyclic exchange on magnetism is studied in the two-leg S=1/2 ladder. We develop an exact spin-chirality duality transformation, under which the system is self-dual when the four-spin exchange J_4 is half of the two-spin exchange. Using the density-matrix renormalization-group method and the duality relation, we find that the four-spin exchange makes the vector chirality correlation dominant. A "chirality short-range resonating-valence-bond" phase is identified for the first time at large J_4.

Keywords

Cite

@article{arxiv.cond-mat/0206102,
  title  = {Spin-chirality duality in a spin ladder with four-spin cyclic exchange},
  author = {Toshiya Hikihara and Tsutomu Momoi and Xiao Hu},
  journal= {arXiv preprint arXiv:cond-mat/0206102},
  year   = {2009}
}

Comments

5 pages, 3 figures, revtex4; revised version, numerical data for larger systems added, conclusion for the intermediate phase modified, to appear in Phys. Rev. Lett

R2 v1 2026-07-22T10:37:48.269Z