Magnetic susceptibility of a CuO2 plane in the La2CuO4 system: I. RPA treatment of the Dzyaloshinskii-Moriya Interactions

Abstract

Motivated by recent experiments on undoped La2CuO4, which found pronounced temperature-dependent anisotropies in the low-field magnetic susceptibility, we have investigated a two-dimensional square lattice of S=1/2 spins that interact via Heisenberg exchange plus the symmetric and anti-symmetric Dzyaloshinskii-Moriya anisotropies. We describe the transition to a state with long-ranged order, and find the spin-wave excitations, with a mean-field theory, linear spin-wave analysis, and using Tyablikov's RPA decoupling scheme. We find the different components of the susceptibility within all of these approximations, both below and above the N'eel temperature, and obtain evidence of strong quantum fluctuations and spin-wave interactions in a broad temperature region near the transition.

20 pages, 2 column format, 22 figures

References in corpus (6)

• On the self-consistent spin-wave theory of layered Heisenberg magnets
• Unusual magnetic susceptibility anisotropy in untwinned La_{2-x}Sr_xCuO_4 single crystals in the lightly-doped region
• Theory of Anisotropic Superexchange in Insulating Cuprates
• Magnetic order in lightly doped La_{2-x}Sr_{x}CuO_{4}
• Pathology of Schwinger boson mean field theory for Heisenberg spin models
• One-loop approximation for the Heisenberg antiferromagnet

Cited by in corpus (10)

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• Magnetic susceptibility anisotropies in a two-dimensional quantum Heisenberg antiferromagnet with Dzyaloshinskii-Moriya interactions
• Spin-orbit coupling induced magnetism in the $d$-density wave phase of La${}_{2-x}$Ba${}_x$CuO${}_4$ superconductors
• Competing impurities and reentrant magnetism in La(2-x)Sr(x)Cu(1-z)Zn(z)O(4) revisited. The role of the Dzyaloshinskii-Moriya and XY anisotropies
• Reinvestigation of crystal symmetry and fluctuations in La${}_2$CuO${}_4$
• Temperature dependence of spin-model parameters in antiferromagnets
• Thermal Hall conductivity of a valence bond solid phase in the square lattice $J_1$-$J_2$ antiferromagnet Heisenberg model with a Dzyaloshinskii-Moriya interaction
• Effects of frustration and Dzyaloshinskii-Moriya interaction on the spin-1/2 anisotropic Heisenberg antiferromagnet with the application to La2CuO4
• Magnetic susceptibility of the body-centred orthorhombic La${}_2$CuO${}_4$ system
• Electronic interlayer coupling in the LTT phase of La1.79Eu0.2Sr0.01CuO4