Phys. Rev. B 65, 180402(R) (2002) [4 pages]Unveiling order behind complexity: Coexistence of ferromagnetism and Bose-Einstein condensation
We present an algebraic framework for identifying the order parameter and the possible phases of quantum systems, which 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. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.65.180402
DOI:
10.1103/PhysRevB.65.180402
PACS:
75.10.-b, 03.65.Fd, 05.30.Jp, 64.60.-i
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