AKLT Models with Quantum Spin Glass Ground States
Disordered Systems and Neural Networks
2010-05-24 v1 Strongly Correlated Electrons
Abstract
We study AKLT models on locally tree-like lattices of fixed connectivity and find that they exhibit a variety of ground states depending upon the spin, coordination and global (graph) topology. We find a) quantum paramagnetic or valence bond solid ground states, b) critical and ordered N\'eel states on bipartite infinite Cayley trees and c) critical and ordered quantum vector spin glass states on random graphs of fixed connectivity. We argue, in consonance with a previous analysis, that all phases are characterized by gaps to local excitations. The spin glass states we report arise from random long ranged loops which frustrate N\'eel ordering despite the lack of randomness in the coupling strengths.
Keywords
Cite
@article{arxiv.1002.4593,
title = {AKLT Models with Quantum Spin Glass Ground States},
author = {C. R. Laumann and S. A. Parameswaran and S. L. Sondhi and F. Zamponi},
journal= {arXiv preprint arXiv:1002.4593},
year = {2010}
}
Comments
10 pages, 1 figure