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

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

1999-10-27

arxiv.org/abs/cond-mat/9910455v1

Physics

Condensed Matter

Strongly Correlated Electrons

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

Scientific paper

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.

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