Effect of Quantum Fluctuations on Magnetic Ordering in CaV$_3$O$_7$

Details Effect of Quantum Fluctuations on Magnetic Ordering in CaV$_3$O$_7$ Effect of Quantum Fluctuations on Magnetic Ordering in CaV$_3$O$_7$

1996-03-29

arxiv.org/abs/cond-mat/9603188v1

Physics

Condensed Matter

submitted to J. Phys. Soc. Jpn

Scientific paper

10.1143/JPSJ.65.1566

We present a theoretical model for CaV$_3$O$_7$: the $1/4$-depleted square spin-$1/2$ Heisenberg model which includes both the nearest-neighbor coupling ($J$) and the next-nearest-neighbor coupling ($J'$), where $J$ and $J'$ are antiferromagnetic. Recent experiments of the neutron diffraction by Harashina et.al. report the magnetic ordering at low temperatures, which may be called as a stripe phase. It is shown that the observed spin structure is not stable in the classical theory. By employing the modified spin wave theory, we show that the stripe phase is stabilized by the quantum fluctuations for $J'/J > 0.69$. In CaV$_3$O$_7$, the coupling constants are estimated as $J \sim J'$ by comparing the theoretical and experimental results.

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