Abstract
A set of Jastrow wave functions comprises exact eigenstates of a family of S= $\frac{1}{2}$ antiferromagnetic chains with ${\mathrm{r}}^{\mathrm{\ensuremath{-}}2}$ exchange. The ground state of the isotropic model is in this set, and is identical to the U\ensuremath{\rightarrow}\ensuremath{\infty} limit of the Gutzwiller wave function, also identified as Anderson's ``resonating-valence-bond'' state. The full set of energy levels of this model is obtained; the spectrum exhibits remarkable ``supermultiplet'' degeneracies suggesting the existence of a hidden continuous symmetry.
Keywords
AntiferromagnetismPhysicsValence bond theoryWave functionGround stateHeisenberg modelQuantum mechanicsValence (chemistry)Molecule
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Publication Info
- Year
- 1988
- Type
- article
- Volume
- 60
- Issue
- 7
- Pages
- 635-638
- Citations
- 796
- Access
- Closed
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Cite This
F. D. M. Haldane
(1988).
Exact Jastrow-Gutzwiller resonating-valence-bond ground state of the spin-(1/2 antiferromagnetic Heisenberg chain with 1/<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">r</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>exchange.
Physical Review Letters
, 60
(7)
, 635-638.
https://doi.org/10.1103/physrevlett.60.635
Identifiers
- DOI
- 10.1103/physrevlett.60.635