On the Ground State of Ferromagnetic Hamiltonians
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
It is generally believed that the ground state of the ferromagnetic Heisenberg-Dirac-Van Vleck Hamiltonians acting on s=1/2 spins of a lattice with N sites has the maximal possible value of the total spin S=N/2 and is N+1 times degenerate. We present a rigorous proof of this statement, independent of the lattice dimension and topology.
Cite
@article{arxiv.math-ph/0012048,
title = {On the Ground State of Ferromagnetic Hamiltonians},
author = {J. Dittrich and V. I. Inozemtsev},
journal= {arXiv preprint arXiv:math-ph/0012048},
year = {2007}
}
Comments
7 pages