Experimental percolation studies of two-dimensional honeycomb lattice: Li2Mn1-xTixO3
Sanghyun Lee, Junghwan Park, Jiyeon Kim, Kun-Pyo Hong, Youngmi Song,, and Je-Geun Park

TL;DR
This study investigates how substituting Mn with nonmagnetic Ti in Li2MnO3 affects its antiferromagnetic order, revealing a continuous suppression consistent with percolation theory and emphasizing the role of extended interactions.
Contribution
It provides a comprehensive phase diagram of Li2Mn1-xTixO3 and demonstrates the significance of beyond nearest-neighbor interactions in honeycomb lattice magnetism.
Findings
Antiferromagnetic order disappears at x=0.7
Suppression of magnetic transition aligns with percolation theory
Extended interactions beyond nearest neighbors are crucial
Abstract
Li2MnO3 with a S=3/2 two-dimensional Mn honeycomb lattice has a Neel-type antiferromagnetic transition at TN=36 K with a broad maximum in the magnetic susceptibility at TM=48 K. We have investigated site percolation effects by replacing Mn with nonmagnetic Ti, and completed a full phase diagram of Li2Mn1-xTixO3 solid solution systems to find that the antiferromagnetic transition is suppressed continuously without a clear sign of changes in the Neel-type antiferromagnetic structure. The magnetic ordering eventually disappears at a critical concentration of xc=0.7. This experimental observation is consistent with percolation theories for a honeycomb lattice when one considers up to 3rd nearest-neighbor interactions. This study highlights the importance of interaction beyond nearest neighbors even for Mn element with relative localized 3d electrons in the honeycomb lattice.
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