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 translational 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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Received 19 July 1999 and Received in final form 8 October 1999
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Garcia-Bach, M. Long-range spin-pairing order and spin defects in quantum spin- \({1 \over 2}\) ladders. Eur. Phys. J. B 14, 439–448 (2000). https://doi.org/10.1007/PL00011053
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DOI: https://doi.org/10.1007/PL00011053