|Jan14-11, 08:02 AM||#1|
I have come across this inexplicable fact mentioned in somewhere that for a chain of S = 1 spins, the adjacent bonds can all be in a singlet state i.e. singlets can be shared in this case (forming valence bond solids) but not, for example, for |S| = 1/2, the latter point being clear. I do not understand how singlets can be shared. Can someone mention what the shared-wavefunction across 3 sites looks like?
|Feb7-11, 12:51 PM||#2|
The answer comes from the AKLT hamiltonian, wherein at each site, the spin 1 is decomposed into 2 spin-1'2's. This is the ground state of the said hamiltonian and can be best understood within the Schwinger boson formalism.
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