English

Parent Hamiltonian for the Chiral Spin Liquid

Strongly Correlated Electrons 2015-05-13 v3

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.

Cite

@article{arxiv.0905.3257,
  title  = {Parent Hamiltonian for the Chiral Spin Liquid},
  author = {Ronny Thomale and Eliot Kapit and Darrell F. Schroeter and Martin Greiter},
  journal= {arXiv preprint arXiv:0905.3257},
  year   = {2015}
}

Comments

14 pages, 3 figures; references added

R2 v1 2026-06-21T13:04:09.693Z