Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2006-10-19
Phys. Rev. B 75, 134421 (2007)
Physics
Condensed Matter
Strongly Correlated Electrons
9 pages, 4 figure. The paper has been rewritten considerably. In particular, discussion of crossovers in the critical temperat
Scientific paper
10.1103/PhysRevB.75.134421
We discuss Bose-Einstein condensation of magnons (BEC) in magnets with predominant ferromagnetic (FM) interaction in magnetic field $H$ near saturation ($H_c$). Because $H_c$ is independent of FM couplings, magnetic materials of this type can have small $H_c$ that makes them promising candidates for experimental investigation of BEC. Ferromagnets with easy-plane anisotropy and antiferromagnets (AFs) containing weakly coupled FM planes or chains are discussed in detail. We observe small effective interaction between magnons near the QCP in such magnets, in contrast to AFs with strong AF coupling previously discussed. In particular, this smallness allows us to find crossovers in the critical temperature $T_c(H)\propto (H_c-H)^{1/\phi}$ from $\phi=3/2$ to $\phi=1$ in quasi-1D magnets, and from $\phi=3/2$ to $\phi\approx1$ ($T_c\ln T_c\propto H_c-H$) in quasi-2D ones.
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