Thermal expansion of the quasi two-dimensional magnetic layered compound BaNi$_{2}$V$_{2}$O$_{8}$ under magnetic fields along c-axis

The quasi two-dimensional magnetic BaNi$_{2}$V$_{2}$O$_{8}$ is studied by using high-resolution thermal expansion in magnetic fields up to 10 T applied along the c-axis. A slight increase of about 1 % of the three-dimensional antiferromagnetic ordering temperature $T_N$ is observed at 10 T. Positive and negative pressure dependencies of $T_N$, respectively, are inferred from the thermal expansion $\alpha(T)$ for pressures applied along the $a$- and $c$-axes.