Unveiling Order behind Complexity: Coexistence of Ferromagnetism and Bose-Einstein Condensation
Strongly Correlated Electrons
2009-11-07 v1
Abstract
We present an algebraic framework for identifying the order parameter and the possible phases of quantum systems that is based on identifying the local dimension of the quantum operators and using the SU(N) group representing the generators of generalized spin-particle mappings. We illustrate this for =3 by presenting for any spatial dimension the exact solution of the bilinear-biquadratic =1 quantum Heisenberg model at a high symmetry point. Through this solution we rigorously show that itinerant ferromagnetism and Bose-Einstein condensation may coexist.
Keywords
Cite
@article{arxiv.cond-mat/0207073,
title = {Unveiling Order behind Complexity: Coexistence of Ferromagnetism and Bose-Einstein Condensation},
author = {C. D. Batista and G. Ortiz and J. E. Gubernatis},
journal= {arXiv preprint arXiv:cond-mat/0207073},
year = {2009}
}
Comments
5 pages, 1 psfigure