Quantum orders in an exact soluble model
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Abstract: (arXiv)
We find all the exact eigenstates and eigenvalues of a spin-1/2 model on square lattice: . We show that the ground states for and have different quantum orders described by Z2A and Z2B projective symmetry groups. The phase transition at represents a new kind of phase transitions that changes quantum orders but not symmetry. Both the Z2A and Z2B states are described by lattice gauge theories at low energies. They have robust topologically degenerate ground states and gapless edge excitations.Note:
- 4 pages, RevTeX4, More materials on topological/quantum orders and quantum computing can be found in http://dao.mit.edu/~wen
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