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Tomonaga–Luttinger liquid behavior and spinon confinement in YbAlO 3

2019, Wu, L.S., Nikitin, S.E., Wang, Z., Zhu, W., Batista, C.D., Tsvelik, A.M., Samarakoon, A.M., Tennant, D.A., Brando, M., Vasylechko, L., Frontzek, M., Savici, A.T., Sala, G., Ehlers, G., Christianson, A.D., Lumsden, M.D., Podlesnyak, A.

Low dimensional quantum magnets are interesting because of the emerging collective behavior arising from strong quantum fluctuations. The one-dimensional (1D) S = 1/2 Heisenberg antiferromagnet is a paradigmatic example, whose low-energy excitations, known as spinons, carry fractional spin S = 1/2. These fractional modes can be reconfined by the application of a staggered magnetic field. Even though considerable progress has been made in the theoretical understanding of such magnets, experimental realizations of this low-dimensional physics are relatively rare. This is particularly true for rare-earth-based magnets because of the large effective spin anisotropy induced by the combination of strong spin–orbit coupling and crystal field splitting. Here, we demonstrate that the rare-earth perovskite YbAlO3 provides a realization of a quantum spin S = 1/2 chain material exhibiting both quantum critical Tomonaga–Luttinger liquid behavior and spinon confinement–deconfinement transitions in different regions of magnetic field–temperature phase diagram.

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Complete field-induced spectral response of the spin-1/2 triangular-lattice antiferromagnet CsYbSe2

2023, Xie, Tao, Eberharter, A. A., Xing, Jie, Nishimoto, S., Brando, M., Khanenko, P., Sichelschmidt, J., Turrini, A. A., Mazzone, D. G., Naumov, P. G., Sanjeewa, L. D., Harrison, N., Sefat, Athena S., Normand, B., Läuchli, A. M., Podlesnyak, A., Nikitin, S. E.

Fifty years after Anderson’s resonating valence-bond proposal, the spin-1/2 triangular-lattice Heisenberg antiferromagnet (TLHAF) remains the ultimate platform to explore highly entangled quantum spin states in proximity to magnetic order. Yb-based delafossites are ideal candidate TLHAF materials, which allow experimental access to the full range of applied in-plane magnetic fields. We perform a systematic neutron scattering study of CsYbSe2, first proving the Heisenberg character of the interactions and quantifying the second-neighbor coupling. We then measure the complex evolution of the excitation spectrum, finding extensive continuum features near the 120°-ordered state, throughout the 1/3-magnetization plateau and beyond this up to saturation. We perform cylinder matrix-product-state (MPS) calculations to obtain an unbiased numerical benchmark for the TLHAF and spectacular agreement with the experimental spectra. The measured and calculated longitudinal spectral functions reflect the role of multi-magnon bound and scattering states. These results provide valuable insight into unconventional field-induced spin excitations in frustrated quantum materials.

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Multiple fermion scattering in the weakly coupled spin-chain compound YbAlO3

2021, Nikitin, S., Nishimoto, S., Fan, Y., Wu, J., Wu, L., Sukhanov, A., Brando, M., Pavlovskii, N., Xu, J., Vasylechko, L., Yu, R., Podlesnyak, A.

The Heisenberg antiferromagnetic spin-1/2 chain, originally introduced almost a century ago, is one of the best studied models in quantum mechanics due to its exact solution, but nevertheless it continues to present new discoveries. Its low-energy physics is described by the Tomonaga-Luttinger liquid of spinless fermions, similar to the conduction electrons in one-dimensional metals. In this work we investigate the Heisenberg spin-chain compound YbAlO3 and show that the weak interchain coupling causes Umklapp scattering between the left- and right-moving fermions and stabilizes an incommensurate spin-density wave order at q = 2kF under finite magnetic fields. These Umklapp processes open a route to multiple coherent scattering of fermions, which results in the formation of satellites at integer multiples of the incommensurate fundamental wavevector Q = nq. Our work provides surprising and profound insight into bandstructure control for emergent fermions in quantum materials, and shows how neutron diffraction can be applied to investigate the phenomenon of coherent multiple scattering in metals through the proxy of quantum magnetic systems.

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Publisher Correction: Multiple fermion scattering in the weakly coupled spin-chain compound YbAlO3 (Nature Communications, (2021), 12, 1, (3599), 10.1038/s41467-021-23585-z)

2021, Nikitin, S.E., Nishimoto, S., Fan, Y., Wu, J., Wu, L.S., Sukhanov, A.S., Brando, M., Pavlovskii, N.S., Xu, J., Vasylechko, L., Yu, R., Podlesnyak, A.

[No abstract available]