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BaCo2V2O8 is a nice example of a quasi-one-dimensional quantum spin systemthat can be described in terms of Tomonaga-Luttinger liquid physics. This isexplored in the present study where the magnetic field-temperature phasediagram is thoroughly established up to 12 T using single-crystal neutrondiffraction. The transition from the N\'eel phase to the incommensuratelongitudinal spin density wave (LSDW) phase through a first-order transition,as well as the critical exponents associated with the paramagnetic to orderedphase transitions, and the magnetic order both in the N\'eel and in the LSDWphase are determined, thus providing a stringent test for the theory.

Field-induced magnetic behavior in quasi-one-dimensional Ising-like antiferromagnet BaCo2V2O8: A single-crystal neutron diffraction study