Quantum spin liquids in frustrated spin-1 diamond antiferromagnets

Abstract

Motivated by the recent synthesis of the spin-1 A-site spinel NiRh${}_{\text{2}}$O${}_{\text{4}}$, we investigate the classical to quantum crossover of a frustrated $J_1$-$J_2$ Heisenberg model on the diamond lattice upon varying the spin length $S$. Applying a recently developed pseudospin functional renormalization group (pf-FRG) approach for arbitrary spin-$S$ magnets, we find that systems with $S\ge 3/2$ reside in the classical regime where the low-temperature physics is dominated by the formation of coplanar spirals and a thermal (order-by-disorder) transition. For smaller local moments $S$=1 or $S$=1/2 we find that the system evades a thermal ordering transition and forms a quantum spiral spin liquid where the fluctuations are restricted to characteristic momentum-space surfaces. For the tetragonal phase of NiRh${}_{\text{2}}$O${}_{\text{4}}$, a modified $J_1$-$J_2^{-}$-$J_2^{\perp }$ exchange model is found to favor a conventionally ordered Néel state (for arbitrary spin $S$) even in the presence of a strong local single-ion spin anisotropy and it requires additional sources of frustration to explain the experimentally observed absence of a thermal ordering transition.

11 pages, 14 figures

References in corpus (7)

• Exact evolution equation for the effective potential
• Order by disorder and spiral spin liquid in frustrated diamond lattice antiferromagnets
• A Spin-Orbital Singlet and Quantum Critical Point on the Diamond Lattice: FeSc2S4
• Competing magnetic orders and spin liquids in two- and three-dimensional kagome systems: A pseudo-fermion functional renormalization group perspective
• Quantum order by disorder in frustrated diamond lattice antiferromagnets
• Topological Paramagnetism in Frustrated Spin-One Mott Insulators
• Classical Spin Spirals in Frustrated Magnets from Free-Fermion Band Topology

Cited by in corpus (4)

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• A molecular diamond lattice antiferromagnet as a Dirac semimetal candidate