All product eigenstates in Heisenberg models from a graphical construction
Strongly Correlated Electrons
2025-06-19 v2 Quantum Physics
Abstract
Recently, large degeneracy based on product eigenstates has been found in spin ladders, kagome-like lattices, and motif magnetism, connected to spin liquids, anyonic phases, and quantum scars. We unify these systems by a complete classification of product eigenstates of Heisenberg XXZ Hamiltonians with Dzyaloshinskii-Moriya interaction on general graphs in the form of Kirchhoff rules for spin supercurrent. By this, we construct spin systems with extensive degree of degeneracy linked to exotic condensates which could be studied in atomic gases and quantum spin lattices.
Keywords
Cite
@article{arxiv.2310.13158,
title = {All product eigenstates in Heisenberg models from a graphical construction},
author = {Felix Gerken and Ingo Runkel and Christoph Schweigert and Thore Posske},
journal= {arXiv preprint arXiv:2310.13158},
year = {2025}
}
Comments
7 pages article, 7 pages supplemental material, 2 figures, 3 tables