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Parent Hamiltonian for the Chiral Spin Liquid

2009/05/31 by Ronny Thomale, Eliot Kapit, Darrell F. Schroeter +1 · 1 citation
Physics and Astronomy · #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.80.104406

published as Phys. Rev. B 80, 104406 (2009) · 14 pages, 3 figures; references added

arxiv created 2009/06/09 · arxiv updated 2015/05/13

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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