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We report synthesis and magnetic properties of quasi-one-dimensionalspin-$\frac{1}{2}$ Heisenberg antiferromagnetic chain compoundBaNa$_2$Cu(VO$_4$)$_2$. This orthovanadate has a centrosymmetric crystalstructure, $C2/c$, where the magnetic Cu$^{2+}$ ions form spin chains. Thesechains are arranged in layers, with the chain direction changing by 62$^0$between the two successive layers. Alternatively, the spin lattice can beviewed as anisotropic triangular layers upon taking the inter-chaininteractions into consideration. Despite this potential structural complexity,temperature-dependent magnetic susceptibility, heat capacity, ESR intensity,and NMR shift agree well with the uniform spin-$1/2$ Heisenberg chain modelwith an intrachain coupling of $J/k_{\rm B} \simeq 5.6$ K. The saturation fieldobtained from the magnetic isotherm measurement consistently reproduces thevalue of $J/k_{\rm B}$. Further, the $^{51}$V NMR spin-lattice relaxation ratemimics the 1D character in the intermediate temperature range, whereas magneticlong-range order sets in below $T_{\rm N} \simeq 0.25$ K. The effectiveinterchain coupling is estimated to be $J_{\perp}/k_{\rm B} \simeq 0.1$ K. Thetheoretical estimation of exchange couplings using band-structure calculationsreciprocate our experimental findings and unambiguously establish the 1Dcharacter of the compound. Finally, the spin lattice of BaNa$_2$Cu(VO$_4$)$_2$is compared with the chemically similar but not isostructural compoundBaAg$_2$Cu(VO$_4)_2$.

Quasi-one-dimensional magnetism in the spin-$\frac12$ antiferromagnet BaNa$_{2}$Cu(VO$_{4}$)$_{2}$