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Spin systems with honeycomb structures have recently attracted a great dealof attention in connection with the Kitaev quantum spin liquid state (QSL)predicted theoretically. One possible Kitaev QSL candidate isNa$_2$Co$_2$TeO$_6$ realizing a honeycomb lattice of pseudo-spin-1/2.Field-dependent single-crystal neutron diffraction technique allows us todetermine the microscopic spin-spin correlations across the field induced phasetransitions for H//a and H//a* in plane field directions. Our results revealphase transitions, initially to a canted zigzag antiferromagnetic state atapproximately 60 kOe, followed by a possible transition to a partiallypolarized state over the range of 90-120 kOe, and finally to a field-inducedfully polarized state above 120 kOe. We observe distinct field dependencies ofthe magnetic peak intensities for H//a and H//a*. In addition, low-temperatureelectron spin resonance in magnetic fields H//c yields a complete softening forone of the antiferromagnetic resonances at ~ 40 kOe, revealing a field-inducedphase transition. The present work, thus, provides new insights into the fieldevolution of the important Kitaev-Heisenberg spin system Na$_2$Co$_2$TeO$_6$.

Field-induced phase transitions and anisotropic magnetic properties of the Kiteav-Heisenberg compound Na$_2$Co$_2$TeO$_6$