arXiv subjects

Darrell F. Schroeter

Publications and source records attributed to Darrell F. Schroeter.

3 recordsLinked to original sources

arXiv2012

Parent Hamiltonian for the non-Abelian chiral spin liquid

We construct a parent Hamiltonian for the family of non-Abelian chiral spin liquids proposed recently by two of us [PRL 102, 207203 (2009)], which includes the Abelian chiral spin liquid proposed by Kalmeyer and Laughlin, as the special case S=1/2. As we use a circular disk geometry with an open boundary, both the annihilation operators we identify and the Hamiltonians we construct from these are exact only in the thermodynamic limit.

cond-mat.str-el↗

arXiv2009

Parent Hamiltonian for the Chiral Spin Liquid

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.

cond-mat.str-el↗

arXiv2007

Spin Hamiltonian for which the Chiral Spin Liquid is the Exact Ground State

We construct a Hamiltonian that singles out the chiral spin liquid on a square lattice with periodic boundary conditions as the exact and, apart from the two-fold topological degeneracy, unique ground state.

cond-mat.str-el↗