Spin waves in a Bose Ferromagnet

Details Spin waves in a Bose Ferromagnet Spin waves in a Bose Ferromagnet

2004-05-05

arxiv.org/abs/cond-mat/0405094v1

Phys. Rev. A 70, 063609 (2004)

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 1 figure

Scientific paper

10.1103/PhysRevA.70.063609

It is shown that the ferromagnetic transition takes place always above Bose-Einstein condensation in ferromagnetically coupled spinor Bose gases. We describe the Bose ferromagnet within Ginzburg-Landau theory by a "two-fluid" model below Bose-Einstein condensation. Both the Bose condensate and the normal phase are spontaneously magnetized. As a main result we show that spin waves in the two fluids are coupled together so as to produce only one mixed spin-wave mode in the coexisting state. The long wavelength spectrum is quadratic in the wave vector ${\bf k}$, consistent with usual ferromagnetism theory, and the spin-wave stiffness coefficient $c_s$ includes contributions from both the two phases, implying the "two-fluid" feature of the system. $c_s$ can show a sharp bend at the Bose-Einstein condensation temperature.

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