Tree-Graph Based Construction of Quantum Spin Models with Exact Ground State
Statistical Mechanics
2026-01-22 v3
Abstract
We propose a protocol to generate an antiferromagnetic S=1/2 Heisenberg model with the exact ground state based on a tree graph. The generated model has a correspondence with a tree graph and possesses the product state of singlet dimers as its unique ground state. A procedure for constructing a model with exact, massively degenerate ground states is also introduced.
Cite
@article{arxiv.2511.09358,
title = {Tree-Graph Based Construction of Quantum Spin Models with Exact Ground State},
author = {Toshiya Hikihara},
journal= {arXiv preprint arXiv:2511.09358},
year = {2026}
}
Comments
v2: 5 pages, 5 figures, accepted version, v3: The same as v2, but with a correction to add the missing Fig.2