Abstract

Monte Carlo simulations of the bond-frustrated $\ifmmode\pm\else\textpm\fi{}J$ Heisenberg model confirm the existence of a finite temperature spin-glass transition at ${T}_{\mathit{SG}}=0.220(5)$. Remarkably, this transition temperature is composition dependent, rising to ${T}_{\mathit{SG}}=0.25(1)$ by the ferromagnet--spin-glass boundary. Coexistence of ferromagnetic and spin-glass ordering is observed at low frustration levels for $T<{T}_{xy}$, and the composition dependence of this transition is also followed. The behavior we observe below ${T}_{xy}$ agrees with both the mean field prediction and the experimental observations while being inconsistent with ``re-entrance,'' which demands a loss of ferromagnetic order. The complete phase diagram is presented.

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