Unveiling Order behind Complexity: Coexistence of Ferromagnetism and Bose-Einstein Condensation

Details Unveiling Order behind Complexity: Coexistence of Ferromagnetism and Bose-Einstein Condensation Unveiling Order behind Complexity: Coexistence of Ferromagnetism and Bose-Einstein Condensation

2002-07-02

arxiv.org/abs/cond-mat/0207073v1

Phys. Rev. B 65, 180402(R) (2002)

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 1 psfigure

Scientific paper

10.1103/PhysRevB.65.180402

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 $N$ of the quantum operators and using the SU(N) group representing the generators of generalized spin-particle mappings. We illustrate this for $N$=3 by presenting for any spatial dimension the exact solution of the bilinear-biquadratic $S$=1 quantum Heisenberg model at a high symmetry point. Through this solution we rigorously show that itinerant ferromagnetism and Bose-Einstein condensation may coexist.

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