Parent Hamiltonian for the Chiral Spin Liquid

Details Parent Hamiltonian for the Chiral Spin Liquid Parent Hamiltonian for the Chiral Spin Liquid

2009-05-20

arxiv.org/abs/0905.3257v3

Phys. Rev. B 80, 104406 (2009)

Physics

Condensed Matter

Strongly Correlated Electrons

14 pages, 3 figures; references added

Scientific paper

We present a method for constructing parent Hamiltonians for the chiral spin liquid. We find two distinct Hamiltonians for which the chiral spin liquid on a square lattice is an exact zero-energy ground state. We diagonalize both Hamiltonians numerically for 16-site lattices, and find that the chiral spin liquid, modulo its two-fold topological degeneracy, is indeed the unique ground state for one Hamiltonian, while it is not unique for the other.

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