Speaker
Description
The AKLT model is a paradigmatic example of a gapped spin system that can be written in terms of fractionalized objects. We present an extension of this model with Kitaev-like anisotropy. At a special point, the Hamiltonian can be written as a sum of projectors, allowing for an AKLT-like construction. We have two choices on each bond, leading to an exponential ground state degeneracy. Ground states can be viewed as configurations of a 1D Ising chain, where each Ising variable is a bond-conserved-quantity. We write their wavefunctions in a concise form as matrix product states. These fractionalized states provide a qualitative understanding of the spin-1 Kitaev chain, yielding approximate forms for the ground state and low-lying excitations.
| Keyword-1 | Frustrated magnetism |
|---|---|
| Keyword-2 | Matrix product states |