Quantum numbers for relative ground states of antiferromagnetic Heisenberg spin rings

Autor(en): Barwinkel, K
Hage, P
Schmidt, HJ
Schnack, J 
Stichwörter: CHAINS; Materials Science; Materials Science, Multidisciplinary; MODEL; Physics; Physics, Applied; Physics, Condensed Matter
Erscheinungsdatum: 2003
Herausgeber: AMERICAN PHYSICAL SOC
Journal: PHYSICAL REVIEW B
Volumen: 68
Ausgabe: 5
Zusammenfassung: 
We suggest a general rule for the shift quantum numbers k of the relative ground states of antiferromagnetic Heisenberg spin rings. This rule generalizes the well-known results of Marshall, Peierls, Lieb, Schultz, and Mattis for even rings. Our rule is confirmed by numerical investigations and rigorous proofs for special cases, including systems with a Haldane gap for N-->infinity. Implications for the total spin quantum number S of relative ground states are discussed as well as generalizations to the XXZ model.
ISSN: 10980121
DOI: 10.1103/PhysRevB.68.054422

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