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      Robustness of the thermal Hall effect close to half-quantization in α-RuCl3

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          Abstract

          A key feature of quantum spin liquids is the predicted formation of fractionalized excitations. They are expected to produce changes in the physical response, providing a way to observe the quantum spin liquid state 1. In the honeycomb magnet α-RuCl 3, a quantum spin liquid has been proposed to explain the behaviour observed on applying an in-plane magnetic field H || . Previous work reported that the thermal Hall conductivity took on a half-integer quantized value and suggested this as a signature of a fractionalized Majorana edge mode predicted to exist in Kitaev quantum spin liquids 2. However, the temperature and magnetic-field range of the half-quantized signal 2–4 and its association with Majorana edge modes are still under debate 5,6. Here we present a comprehensive study of the thermal Hall conductivity in α-RuCl 3 showing that approximately half-integer quantization exists in an extended region of the phase diagram, particularly across a plateau-like parameter regime for H || exceeding 10 T and temperature below 6.5 K. At lower fields, the thermal Hall conductivity exhibits correlations with complex anomalies in the longitudinal thermal conductivity and magnetization, and is suppressed by cooling to low temperatures. Our results can be explained by the existence of a topological state in magnetic fields above 10 T.

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          Mott insulators in the strong spin-orbit coupling limit: from Heisenberg to a quantum compass and Kitaev models.

          We study the magnetic interactions in Mott-Hubbard systems with partially filled t_{2g} levels and with strong spin-orbit coupling. The latter entangles the spin and orbital spaces, and leads to a rich variety of the low energy Hamiltonians that extrapolate from the Heisenberg to a quantum compass model depending on the lattice geometry. This gives way to "engineer" in such Mott insulators an exactly solvable spin model by Kitaev relevant for quantum computation. We, finally, explain "weak" ferromagnetism, with an anomalously large ferromagnetic moment, in Sr2IrO4.
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            Anyons in an exactly solved model and beyond

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              Spin liquids in frustrated magnets.

              Frustrated magnets are materials in which localized magnetic moments, or spins, interact through competing exchange interactions that cannot be simultaneously satisfied, giving rise to a large degeneracy of the system ground state. Under certain conditions, this can lead to the formation of fluid-like states of matter, so-called spin liquids, in which the constituent spins are highly correlated but still fluctuate strongly down to a temperature of absolute zero. The fluctuations of the spins in a spin liquid can be classical or quantum and show remarkable collective phenomena such as emergent gauge fields and fractional particle excitations. This exotic behaviour is now being uncovered in the laboratory, providing insight into the properties of spin liquids and challenges to the theoretical description of these materials.
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                Author and article information

                Contributors
                Journal
                Nature Physics
                Nat. Phys.
                Springer Science and Business Media LLC
                1745-2473
                1745-2481
                February 17 2022
                Article
                10.1038/s41567-021-01501-y
                1724f646-fe2f-48bc-966a-25e5187f24fc
                © 2022

                https://creativecommons.org/licenses/by/4.0

                https://creativecommons.org/licenses/by/4.0

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