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We present single-crystal growth and magnetic property studies oftellurium-bridged copper spin-1/2 system Ba$_2$CuTeO$_6$. The spin-exchangeinteraction among copper spins via Cu-O-Te-O-Cu super-superexchange route leadsto a novel two-leg spin ladder system. Spin susceptibility $\chi$(T) dataindicates that the triclinic Ba$_2$CuTeO$_6$ undergoes a stepwise crossover forexchange couplings revealed by a broad maximum near T$_{max}$$\sim$75~K and ananisotropic cusp in $\frac{d\chi}{dT}$(T) to signify a three dimensional (3D)antiferromagnetic long-range ordering (LRO). The 3D LRO has been suggested fromthe anisotropic behavior of $\chi$(T) with strong c-axis spin anisotropy andthe signature of spin flop transition from the isothermal magnetization below$T_N$. Analysis of magnetic heat capacity (Cm) at $T_N$~15 K indicates thatmost of the spin entropy (~92% ) has already been released above $T_N$, whichsupports the picture of consecutive spin entropy reduction upon cooling withTe-bridged two-leg spin ladder system with strong intraladder and interladdercouplings. Theoretical DFT+U calculations have been performed to search for theground state magnetic configuration and also to evaluate exchange couplingconstants that support the magnetic model deduced from the combined spinsusceptibility and crystal structure symmetry analysis.

Tellurium-bridged two-leg spin ladder in Ba$_2$CuTeO$_6$