Stability of the spiral spin liquid in MnSc${}_2$S${}_4$

Abstract

We investigate the stability of the spiral spin liquid phase in MnSc${}_2$S${}_4$ against thermal and quantum fluctuations as well as against perturbing effects of longer-range interactions. Employing $abinitio$ density functional theory (DFT) calculations we propose a realistic Hamiltonian for MnSc${}_2$S${}_4$, featuring second ($J_2$) and third $(J_3)$ neighbor Heisenberg interactions on the diamond lattice that are considerably larger than previously assumed. We argue that the combination of strong $J_2$ and $J_3$ couplings reproduces the correct magnetic Bragg peak position measured experimentally. Calculating the spin-structure factor within the pseudofermion functional-renormalization group technique we find that close to the magnetic phase transition the sizable $J_3$ couplings induce a strong spiral selection effect, in agreement with experiments. With increasing temperature the spiral selection becomes weaker such that in a window around three to five times the ordering temperature an approximate spiral spin liquid is realized in MnSc${}_2$S${}_4$.

arXiv comment11 pages, 10 figures, 1 table. Published version

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