Field-orientation dependence of quantum phase transitions in the S=1/2 triangular-lattice antiferromagnet Ba${}_3$CoSb${}_2$O${}_9$

Abstract

Ba${}_3$CoSb${}_2$O${}_9$ approximates the two-dimensional spin-1/2 triangular-lattice Heisenberg antiferromagnet. This compound displays magnetic-field-induced quantum phase transitions, including the 1/3-magnetization-plateau, but its magnetization processes for the magnetic field $H$ parallel and perpendicular to the $c$ axis are different due to the weak easy-plane anisotropy and the weak interlayer antiferromagnetic exchange interaction. To elucidate how the quantum phase transitions change between these two field directions, we measured the field-angle dependence of the magnetization process in Ba${}_3$CoSb${}_2$O${}_9$ using pulsed high magnetic fields. We compared obtained magnetic field-field angle phase diagram with those obtained by the large-size cluster mean-field method combined with a scaling scheme and the semiclassical theory. We also found a narrow 1/3-magnetization plateau and a high-field transition with a small magnetization jump for $H\parallel c$, not observed in the previous studies.

8 pages, 7 figures, to appear in Phys. Rev. B

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