Competition between Heisenberg and bond-dependent interactions driven an incommensurate ordering in honeycomb cobaltates

Document Type : Original Article


1 Department of Physics, Faculty of Science, Shahrekord University, Shahrekord, Iran

2 Department of Physics, Qom University of Technology, Qom 37181-46645, Iran


Experimental observations show that the zero-field ground state of honeycomb-layered cobaltates is an incommensurate spiral order with an ordering wave vector along the line. However, in the presence of a magnetic field, the incommensurate magnetic phase becomes unstable and the quantum spin liquid phase becomes stable in this class of materials. Here, the central question we address is how to realize the incommensurate order theoretically. For this purpose, we are interested in studying the generalized Kitaev-Heisbenerg model and investigating the interplay effect between conventional Heisenberg and bond-dependent exchange interactions on the stability of the incommensurate spiral order. Our results show that the interplay between the second neighbor Heisenberg interaction and bond-dependent exchange interactions play a vital role in the stability of incommensurate phases. The competition between the second nearest nearest-neighbor interaction and the off-diagonal bond-directional exchange for  may place this material in proximity to a quantum spin liquid phase. The quantum spin liquid can be accessible for  in the presence of an external magnetic field.


Main Subjects

© 2024 The Author(s). Journal of Progress in Physics of Applied Materials published by Semnan University Press. This is an open access article under the CC-BY 4.0 license. (

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