English

Long-range spin-pairing order and spin defects in quantum spin-1/2 ladders

Strongly Correlated Electrons 2015-06-25 v1

Abstract

For w-legged antiferromagnetic spin-1/2 Heisenberg ladders, a long-range spin-pairing order can be identified which enables the separation of the space spanned by finite-range (covalent) valence-bond configurations into w+1 subspaces. Since every subspace has an equivalent counter subspace connected by translational symmetry, twofold degeneracy, breaking traslational symmetry is found except for the subspace where the ground state of w=even belongs to. In terms of energy ordering, (non)degeneracy and the discontinuities introduced in the long-range spin-pairing order by topological spin defects, the differences between even and odd ladders are explained in a general and systematic way.

Keywords

Cite

@article{arxiv.cond-mat/9910455,
  title  = {Long-range spin-pairing order and spin defects in quantum spin-1/2 ladders},
  author = {M. A. Garcia-Bach},
  journal= {arXiv preprint arXiv:cond-mat/9910455},
  year   = {2015}
}

Comments

16 pages, 7 figures, 2 tables. To be publish in The European Physical J. B

R2 v1 2026-07-22T12:16:00.153Z