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Probing the nature of excitations in spin-orbit-coupled materials from first principles

Subject Area Theoretical Condensed Matter Physics
Term from 2018 to 2024
Project identifier Deutsche Forschungsgemeinschaft (DFG) - Project number 411289067
 
Final Report Year 2023

Final Report Abstract

In this project, theoretical models describing Kitaev candidate material α-RuCl3 and related materials were studied, which feature strongly anisotropic magnetic exchange interactions. A main focus here was on the controversy in α-RuCl3 regarding the presence or absence of a field-induced intermediate spin liquid state for in-plane magnetic fields of circa 7 to 10 Tesla. In collaborations with experiment, this question was investigated from both a spectroscopic (Raman scattering and terahertz absorption) and from a thermodynamic (magnetic Grüneisen parameter and specific heat) view. In both cases the experimental response showed rather unconventional features in the field range of question. However, at the same time, this response did not resemble closely than expected for an intermediate Kitaev spin liquid. Instead, we could reconcile the unconventional features in realistic extended Kitaev models, originating from strong magnetic frustration, a proximate ferromagnetic state, and magnetic anisotropy, not inherently related to potential spin liquid states. Indeed, the overall experimental observations could be well described by extended Kitaev models featuring a direct transition between low-field zigzag antiferromagnetic and a high-field partially-polarized phase with strong quantum fluctuations near the critical field, and no intermediate spin liquid. Additionally, in this project, magnetoelastic coupling in α-RuCl3 was studied. This covered two aspects, one on hand the possibility to tune the system by externally applied uniaxial and hydrostatic strains and pressures, and on the other hand to model emergent "magnetoelastic properties" such as magnetostriction and a variant of the structural Grüneisen parameter as a function of magnetic field, which directly couple lattice and pseudospin degrees of freedom. In all of these studies, we compared our theoretical calculations closely to measurements (partly already available at the time, partly in collaborations with experiment), finding very satisfactory agreement. Overall, an interesting aspect that should generalize to similarly strongly geometry-sensitive anisotropic spin exchanges in other materials, is that the form of the magnetoelastic couplings strongly deviated from the form of the magnetic couplings. Additionally, uniaxial compressive strain in α-RuCl3 is proposed as a future interesting avenue to increase the Kitaev coupling while weakening the other anisotropic coupling. Lastly, "variations" of α-RuCl3 and other materials were considered in the realm of this project. The simplest "variation" was studied in a collaboration with experiment in the form of few-layer and single-layer α-RuCl3. Here, we aided in the interpretation of our collaborators’ experiments by classical and quantum calculations, and as the main particularity of single-layer α-RuCl3, a reversal of the magnetic anisotropy is observed. Due to the latter, the out-of-plane critical field reduces from above 30 Tesla to only circa 7 Tesla, putting out-of-plane field physics much closer to usual experimental feasibility. In another study, we considered bulk RuBr3 and RuI3, which are structurally akin to α-RuCl3, but feature the heavier ligand atoms Br or I. While our analysis finds RuBr3 to have qualitatively similar magnetic properties to α-RuCl3, RuI3 is rather distinct and could be interesting for future studies. Finally, in another study we also considered the triangular-lattice material NaRuO2, which realizes a Mott-insulating j eff =1/2 state as well. Here, strongly anisotropic exchange, concomitant with a ferromagnetic Heisenberg coupling, lead to a ferromagnetic ground state. Additionally, we used this material as a test case system to study strongly anisotropic, plaquette-directional dependent ring exchange.

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