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The magnetic phase diagram of the tetragonal Ho$_2$RhIn$_8$ compound hassimilar features to many related systems, revealing a zero magnetic field AF1and a field-induced AF2 phases. Details of the magnetic order in the AF2 phasewere not reported yet for any of the related compounds. In addition, only theHo$_2$RhIn$_8$ phase diagram contains a small region of the incommensuratezero-field AF3 phase. We have performed a number of neutron diffractionexperiments on single crystals of Ho$_2$RhIn$_8$ using several diffractometersincluding experiments in both horizontal and vertical magnetic fields up to 4T. We present details of the magnetic structures in all magnetic phases of therich phase diagram of Ho$_2$RhIn$_8$. The Ho magnetic moments point along thetetragonal $c$ axis in every phase. The ground-state AF1 phase is characterizedby propagation vector $\textbf{k}$ = (1/2, 0, 0). The more complexferrimagnetic AF2 phase is described by four propagation vectors$\textbf{k}_{0}$ = (0, 0, 0), $\textbf{k}_{1}$ = (1/2, 0, 0), $\textbf{k}_{2}$= (0, 1/2, 1/2), $\textbf{k}_{3}$ = (1/2, 1/2, 1/2). The magnetic structure inthe AF3 phase is incommensurate with $\textbf{k}_{AF3}$ = (0.5, $\delta$, 0).Our results are consistent with theoretical calculations based on crystal fieldtheory.

Magnetic structures in the rich magnetic phase diagram of Ho$_2$RhIn$_8$