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arXiv · 0905.3257

Parent Hamiltonian for the Chiral Spin Liquid

Ronny Thomale·Eliot Kapit·Darrell F. Schroeter·Martin Greiter
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Abstract

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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Ronny Thomale, Eliot Kapit, Darrell F. Schroeter, Martin Greiter. 2009-05-20. Parent Hamiltonian for the Chiral Spin Liquid. https://doi.org/10.1103/physrevb.80.104406

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