At the Journal Club for Condensed Matter there is a very nice and clear commentary Identifying a spin liquid on Kagome lattice by quantum entanglement by Ashvin Vishwanath. I learnt a lot from reading it.
It reviews two recent preprints which use numerical methods (density matrix renormalisation group = DMRG) to establish topological order in the ground state of the Heisenberg spin-1/2 model on the Kagome lattice.
An earlier post considered earlier DMRG evidence that was suggestive of a spin liquid, with an energy gap, but did not establish topological order.
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ReplyDeleteEntanglement spectra in fractional quantum Hall systems and Chern insulators has popped up a lot over the last couple of years. My understanding is that a gap in the entanglement spectrum can give information about topological order and is some sort of generalization of entanglement entropy (Haldane?).
The commentary by Vishvanath was very helpful.