Quantum Spin Liquids in Frustrated Spin-1 Diamond Antiferromagnets

Physical Review Letters
Finn Lasse BuessenSimon Trebst

Abstract

Motivated by the recent synthesis of the spin-1 A-site spinel NiRh_{2}O_{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 approach for arbitrary spin-S magnets, we find that systems with S≥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_{2}O_{4}, a modified J_{1}-J_{2}^{-}-J_{2}^{⊥} 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.

References

Apr 20, 2004·Physical Review Letters·V FritschV Tsurkan
Sep 4, 2008·Physical Review Letters·Jean-Sébastien BernierYong Baek Kim
Apr 28, 2009·Physical Review Letters·Gang ChenAndreas P Schnyder
Mar 12, 2010·Nature·Leon Balents
Nov 9, 2016·Reports on Progress in Physics·Lucile Savary, Leon Balents

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Citations

Sep 14, 2019·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Nils NiggemannJohannes Reuther
May 19, 2018·Physical Review Letters·Ahmet Keleş, Erhai Zhao
Jul 26, 2019·Journal of Physics. Condensed Matter : an Institute of Physics Journal·V E ValiulinA F Barabanov
Nov 7, 2020·Chemical Reviews·Juan R ChamorroThao T Tran

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