Tree-Graph Based Construction of Quantum Spin Models with Exact Ground State
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.
Fields of Study & Subjects
Physics of Superconductivity and Magnetism
Quantum many-body systems
Advanced Condensed Matter Physics
Publication details
- Journal / source
- Journal of the Physical Society of Japan
- Volume
- 95
- Issue
- 2
- Publication date
- 19 January 2026
- Language
- EN