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The effective spin-1/2 antiferromagnetic Heisenberg-Ising chain materials,ACo$_2$V$_2$O$_8$, A = Sr, Ba, are a rich source of exotic fundamentalphenomena and have been investigated for their model magnetic properties bothin zero and non-zero magnetic fields. Here we investigate a new member of thefamily, namely PbCo$_2$V$_2$O$_8$. We synthesize powder and single crystalsamples of PbCo$_2$V$_2$O$_8$ and determine its magnetic structure usingneutron diffraction. Furthermore, the magnetic field/temperature phase diagramsfor magnetic field applied along the c, a, and [110] crystallographicdirections in the tetragonal unit cell are determined via magnetization andheat capacity measurements. A complex series of phases and quantum phasetransitions are discovered that depend strongly on both the magnitude anddirection of the field. Our results show that \pcvo is an effective spin-1/2antiferromagnetic Heisenberg-Ising chain with properties that are in generalcomparable to those of SrCo$_2$V$_2$O$_8$ and BaCo$_2$V$_2$O$_8$. Oneinteresting departure from the results of these related compounds, is however,the discovery of a new field-induced phase for the field direction $H\|$[110]which has not been previously observed.

Magnetic structure and phase diagram of the Heisenberg-Ising spin chain antiferromagnetic PbCo$_{2}$V$_{2}$O$_{8}$