Analytical method to correct the neutron polarisation for triple-axis data

Polarised neutron scattering is the method of choice to study magnetism in condensed matter. Polarised neutrons are yet typically very low in flux and complex experimental configurations further reduce the count rate, neutron polarisation corrections would therefore be needed. Here we analytically derive formulae of the corrected partial differential scattering cross sections. The analytical method is designed for the longitudinal polarisation analysis, and the correction generally holds for time-independent polarised neutrons with a triple-axis spectrometer. We then applied the correction to recent results of our $P_x$ experiment on Y$_3$Fe$_5$O$_{12}$. Although there is a difficulty with experimental determination of inefficiency parameters of neutron spin polarisers and flippers, the correction appears to work properly.Comment: 6 pages, 2 figure

N\'eel-type skyrmion lattice in tetragonal polar magnet VOSe2_2O5_5

Formation of the triangular skyrmion-lattice is found in a tetragonal polar magnet VOSe$_2$O$_5$. By magnetization and small-angle neutron scattering measurements on the single crystals, we identify a cycloidal spin state at zero field and a N\'eel-type skyrmion-lattice phase under a magnetic field along the polar axis. Adjacent to this phase, another magnetic phase of an incommensurate spin texture is identified at lower temperatures, tentatively assigned to a square skyrmion-lattice phase. These findings exemplify the versatile features of N\'eel-type skyrmions in bulk materials, and provide a unique occasion to explore the physics of topological spin textures in polar magnets.Comment: 11 pages, 4 figures, supplemental material (7 pages

Higgs transition from a magnetic Coulomb liquid to a ferromagnet in Yb_2Ti_2O_7

In a class of frustrated magnets known as spin ice, magnetic monopoles emerge as classical defects and interact via the magnetic Coulomb law. With quantum-mechanical interactions, these magnetic charges are carried by fractionalised bosonic quasi-particles, spinons, which can undergo Bose-Einstein condensation through a first-order transition via the Higgs mechanism. Here, we report evidence of a Higgs transition from a magnetic Coulomb liquid to a ferromagnet in single-crystal Yb2Ti2O7. Polarised neutron-scattering experiments show that the diffuse [111]-rod scattering and pinch-point features which develop on cooling are suddenly suppressed below T_C ~ 0.21 K, where magnetic Bragg peaks and a full depolarisation of the neutron spins are observed with thermal hysteresis, indicating a first-order ferromagnetic transition. Our results are explained on the basis of a quantum spin-ice model, whose high-temperature phase is effectively described as a magnetic Coulomb liquid, while the ground state shows a nearly collinear ferromagnetism with gapped spin excitations.Comment: 36 pages, including 3 figures and supplement with 4 more figure