TY - JOUR
T1 - Extended Heisenberg models of antiferromagnetism
T2 - Analogies to the fractional quantum Hall effect
AU - Arovas, Daniel P.
AU - Auerbach, Assa
AU - Haldane, Frederick D.
PY - 1988/1/1
Y1 - 1988/1/1
N2 - The "valence-bond" ground states for extended Heisenberg models discussed by Affleck et al. are shown to be of a Jastrow form. We discuss a striking analogy between these models and the "truncated pseudopotential" approach to the fractional quantum Hall effect. The valence-bond states are in analogy to the Laughlin ground state, and the magnon spectrum is deduced by use of a single-mode approximation.
AB - The "valence-bond" ground states for extended Heisenberg models discussed by Affleck et al. are shown to be of a Jastrow form. We discuss a striking analogy between these models and the "truncated pseudopotential" approach to the fractional quantum Hall effect. The valence-bond states are in analogy to the Laughlin ground state, and the magnon spectrum is deduced by use of a single-mode approximation.
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U2 - 10.1103/PhysRevLett.60.531
DO - 10.1103/PhysRevLett.60.531
M3 - Article
C2 - 10038574
AN - SCOPUS:0000678841
VL - 60
SP - 531
EP - 534
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 6
ER -