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

Abstract

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 ($J^{\prime }$), where $J$ and $J^{\prime }$ 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 $J^{\prime }/J>0.69$. In CaV${}_3$O${}_7$, the coupling constants are estimated as $J\sim J^{\prime }$ by comparing the theoretical and experimental results.

submitted to J. Phys. Soc. Jpn

References in corpus (4)

• Phase diagram of depleted Heisenberg model for CaV4O9
• Plaquette Resonating-Valence-Bond Ground State of CaV${}_4$O${}_9$
• Spin Gap in Two-Dimensional Heisenberg Model for CaV${}_4$O${}_9$
• Spin Gap of Two-Dimensional Antiferromagnet Representing CaV${}_4$O${}_9$

Cited by in corpus (6)

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• Exchange interactions and magnetic properties of the layered vanadates CaV2O5, MgV2O5, CaV3O7 and CaV4O9
• Magnetic order in a spin-half interpolating square-triangle Heisenberg antiferromagnet
• Magnetic order on a frustrated spin-1/2 Heisenberg antiferromagnet on the Union Jack lattice
• A frustrated quantum spin-${\boldmath s}$ model on the Union Jack lattice with spins ${\boldmath s>1/2}$
• On the presence of mid-gap states in CaV4O9