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We report the revised crystal structure, static and dynamic magneticproperties of quasi-two dimensional honeycomb-lattice silver delafossiteAg3Co2SbO6. The magnetic susceptibility and specific heat data are consistentwith the onset of antiferromagnetic long range order at low temperatures withN\'eel temperature TN ~ 21.2 K. In addition, the magnetization curves revealeda field-induced (spin-flop type) transition below TN in moderate magneticfields. The GGA+U calculations show the importance of the orbital degrees offreedom, which maintain a hierarchy of exchange interaction in the system. Thestrongest antiferromagnetic exchange coupling was found in the shortest Co-Copairs and is due to direct and superexchange interactions between thehalf-filled xz+yz orbitals pointing directly to each other. The other four outof six nearest neighbor exchanges within the cobalt hexagon are suppressed,since for these bonds active half-filled orbitals turned out to be parallel anddo not overlap. The electron spin resonance (ESR) spectra reveal a Gaussianshape line attributed to Co2+ ion in octahedral coordination with averageeffective g-factor g=2.3+/-0.1 at room temperature and shows strong divergenceof ESR parameters below 120 K, which imply an extended region of short-rangecorrelations. Based on the results of magnetic and thermodynamic studies inapplied fields, we propose the magnetic phase diagram for the newhoneycomb-lattice delafossite.

Orbitally induced hierarchy of exchange interactions in zigzag antiferromagnetic state of honeycomb silver delafossite Ag3Co2SbO6