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We report the analysis of magnetic susceptibility $\chi$($T$) ofSr$_2$IrO$_4$ single crystal in the paramagnetic phase. We formulate thetheoretical susceptibility based on isotropic Heisenberg antiferromagnetismincorporating the Dzyaloshinsky-Moriya interaction exactly, and include theinterlayer couplings in a mean-field approximation. $\chi$($T$) above $T_{\rmN}$ was found to be well described by the model, indicating the predominantHeisenberg exchange consistent with the microscopic theory. The analysis pointsto a competition of nearest and next-nearest neighbor interlayer couplings,which results in the up-up-down-down configuration of the in-plane cantingmoments identified by the diffraction experiments.

Model analysis of magnetic susceptibility of Sr$_2$IrO$_4$ - 2D $J_{\rm eff}$ = 1/2 Heisenberg system with competing interlayer couplings