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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