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All interpretations of extensive magnetic neutron scattering data in the cited paper are at fault [Phys. Rev. X 12, 021015]. For, the expressions for scattered intensities therein do not contain the cerium multipole whose likely…

Strongly Correlated Electrons · Physics 2022-09-08 S. W. Lovesey

The Ce$^{3+}$ pseudospin-$\frac{1}{2}$ degrees of freedom in the pyrochlore magnet Ce$_2$Zr$_2$O$_7$ are known to possess dipole-octupole (DO) character, making it a candidate for novel quantum spin liquid (QSL) ground states at low…

Neutron scattering measurements on the pyrochlore magnet Ce$_2$Zr$_2$O$_7$ reveal an unusual crystal field splitting of its lowest $J$=5/2 multiplet, such that its ground state doublet is composed of m$_J$=$\pm$3/2, giving these doublets a…

Dipolar-octupolar (DO) pyrochlore systems Ce$_2$(Zr,Sn,Hf)$_2$O$_7$ have garnered much attention as recent investigations suggest that they may stabilize a novel quantum spin ice (QSI), a quantum spin liquid (QSL) with an emergent $U(1)$…

Strongly Correlated Electrons · Physics 2025-12-10 Zhengbang Zhou , Félix Desrochers , Yong Baek Kim

The recently discovered dipole-octupole pyrochlore magnet Ce$_2$Hf$_2$O$_7$ is a promising three-dimensional quantum spin liquid candidate which shows no signs of ordering at low temperature. The low energy effective pseudospin-1/2…

The insulating magnetic pyrochlore Ce$_2$Zr$_2$O$_7$ has gained attention as a quantum spin ice candidate with dipole-octupole character arising from the crystal electric field ground state doublet for the Ce$^{3+}$ ion. This permits both…

Strongly Correlated Electrons · Physics 2025-05-01 E. M. Smith , R. Schäfer , J. Dudemaine , B. Placke , B. Yuan , Z. Morgan , F. Ye , R. Moessner , O. Benton , A. D. Bianchi , B. D. Gaulin

We show that it is possible to reconcile NMR and neutron scattering experiments on both LSCO and YBCO, by making use of the Millis-Monien-Pines mean field phenomenological expression for the dynamic spin-spin response function, and…

Condensed Matter · Physics 2009-10-28 Y. Zha , V. Barzykin , D. Pines

The Ce$^{3+}$ pseudospin-1/2 degrees of freedom in Ce$_2$Zr$_2$O$_7$ possess both dipolar and octupolar character which enables the possibility of novel quantum spin liquid ground states in this material. Here we report new muon spin…

A quantum spin liquid (QSL) is a state of matter where unpaired electrons' spins in a solid are quantum entangled, but do not show magnetic order in the zero-temperature limit. Because such a state may be important to the microscopic origin…

Dy2Ti2O7 has been advanced as an ideal spin ice. We present a neutron scattering investigation of a sample of 162Dy2Ti2O7. The scattering intensity has been mapped in zero applied field in the hhl and hk0 planes at temperatures between 0.05…

Disordered Systems and Neural Networks · Physics 2009-11-10 T. Fennell , O. A. Petrenko , B. Fak , S. T. Bramwell , M. Enjalran , T. Yavors'kii , M. J. P. Gingras , R. G. Melko , G. Balakrishnan

We use polarized inelastic neutron scattering to study low-energy spin excitations and their spatial anisotropy in electron-overdoped superconducting BaFe$_{1.85}$Ni$_{0.15}$As$_{2}$ ($T_c=14$ K). In the normal state, the imaginary part of…

Superconductivity · Physics 2012-06-26 Mengshu Liu , C. Lester , Jiri Kulda , Xingye Lu , Huiqian Luo , Meng Wang , Stephen M. Hayden , Pengcheng Dai

The Ce$_2$X$_2$O$_7$ (X=Sn, Hf, Zr) family of cubic pyrochlores has emerged as one of the most promising classes of Quantum Spin Ice candidates. However, understanding their microscopic exchange Hamiltonian and spin correlations has been…

Strongly Correlated Electrons · Physics 2026-01-29 Bo Yuan , M. Powell , X. Liu , J. Ni , E. M. Smith , F. Ye , J. Dudemaine , A. D. Bianchi , J. W. Kolis , B. D. Gaulin

The dipolar-octupolar (DO) pyrochlores, R$_2$M$_2$O$_7$ (R = Ce, Sm, Nd), are key players in the search for realizable novel quantum spin liquid (QSL) states as a large parameter space within the DO pyrochlore phase diagram is theorized to…

Spin liquids are highly correlated yet disordered states formed by the entanglement of magnetic dipoles$^1$. Theories typically define such states using gauge fields and deconfined quasiparticle excitations that emerge from a simple rule…

We revisit the pyrochlore spin liquid materials Ce$_2$Sn$_2$O$_7$ and Ce$_2$Zr$_2$O$_7$ by examining the existing experiments. We continue to rely on the special properties of the dipole-octupole nature of the Ce$^{3+}$ moment. The…

Strongly Correlated Electrons · Physics 2024-08-22 Pengwei Zhao , Gang V. Chen

We investigate parity and time-reversal violation in neutron-proton scattering in the optical regime. We calculate the neutron spin rotation and analyzing power in scattering on polarized protons. This allows us to quantify the sensitivity…

Nuclear Theory · Physics 2008-11-26 C. -P. Liu , R. G. E. Timmermans

In this Comment we argue that Ho$_2$Ti$_2$O$_7$ does not exhibit a transition to a partially ordered state unlike what is argued in PRL 83, 1854 (1999), that it exhibits spin ice behavior, and that the experimental specific heat data by…

Disordered Systems and Neural Networks · Physics 2016-08-31 B. C. den Hertog , Michel J. P. Gingras , Steven T. Bramwell , Mark J. Harris

The available results from the inelastic neutron scattering experiment performed on the quasi-two dimensional spin $\frac{1}{2}$ anti-ferromagnetic material $La_2 Cu O_4$ have been analysed theoretically. The formalism of ours is based on a…

Strongly Correlated Electrons · Physics 2016-09-26 Subhajit Sarkar , Ranjan Chaudhury , Samir K. Paul

The ground states of the frustrated pyrochlore oxide Tb$_{2+x}$Ti$_{2-x}$O$_{7+y}$ have been studied by inelastic neutron scattering experiments. Three single-crystal samples are investigated; one shows no phase transition…

We report inelastic and elastic neutron scattering, magnetic susceptibility, and heat capacity measurements of polycrystalline sodium ruthenate (Na$_3$RuO$_4$). Previous work suggests this material consists of isolated tetramers of $S=3/2$…

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