Abstract
The magnetic phase diagram of $\mathrm{KEr}({\mathrm{MoO}}_{4}{)}_{2}$ a dipolar magnetic system with strong tetragonal distortion is investigated. The analysis of the experimental results indicates that the dipolar magnet with strong tetragonal distortion in external magnetic field applied along the easy axis resembles the behavior of the $S=1/2$ two-dimensional Ising model on the rectangular lattice in $B\ensuremath{\Vert}z$ with the nearest neighbor interactions only. The Monte Carlo studies of the corresponding critical ${B}_{c}\ensuremath{-}{T}_{c}$ line revealed the second order character of the phase transitions down to the critical temperature $\ensuremath{\approx}0.7 \mathrm{K}$ and critical field ${B}_{c}\ensuremath{\approx}50 \mathrm{mT}.$ The behavior of experimental and numerical data at lower critical temperatures suggests the vicinity of a tricritical point ${T}_{T}$ characteristic for metamagnets.
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