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Multipolar magnetism is an emerging field of quantum materials research. The building blocks of multipolar phenomena are magnetic ions with a non-Kramers doublet, where the orbital and spin degrees of freedom are inextricably intertwined,…

Strongly Correlated Electrons · Physics 2020-07-08 Adarsh S. Patri , Masashi Hosoi , SungBin Lee , Yong Baek Kim

Geometrical frustration is a central challenge in contemporary condensed matter physics, a crucible favourable to the emergence of novel physics. The pyrochlore magnets, with rare earth magnetic moments localized at the vertices of…

Strongly Correlated Electrons · Physics 2015-05-30 Sylvain Petit , Pierre Bonville , Isabelle Mirebeau , Hannu Mutka , Julien Robert

The XY pyrochlore Yb$_2$Ti$_2$O$_7$, with pseudo spin 1/2 at the Yb$^{3+}$ site, has been celebrated as potential host for the quantum spin ice state. The substitution of non-magnetic Ti with Pt gives Yb$_2$Pt$_2$O$_7$, a system with…

Strongly Correlated Electrons · Physics 2018-10-03 S. K. Takahashi , A. Arsenault , C. Mauws , A. M. Hallas , C. Sarkis , K. A. Ross , C. R. Wiebe , M. Tachibana , G. M. Luke , T. Imai

We study the quantum spin dynamics of a frustrated XXZ model on a pyrochlore lattice by using large-scale quantum Monte Carlo simulation and stochastic analytic continuation. In the low-temperature quantum spin ice regime, we observe…

Strongly Correlated Electrons · Physics 2018-04-19 Chun-Jiong Huang , Youjin Deng , Yuan Wan , Zi Yang Meng

Pyrochlore magnets are candidates for spin-ice behavior. We present theoretical simulations of relevance for the pyrochlore family R2Ti2O7 (R= rare earth) supported by magnetothermal measurements on selected systems. By considering long…

Statistical Mechanics · Physics 2009-10-31 R. Siddharthan , B. S. Shastry , A. P. Ramirez , A. Hayashi , R. J. Cava , S. Rosenkranz

We study quantum antiferromagnetism on the highly frustrated checkerboard lattice, also known as the square lattice with crossings. The quantum Heisenberg antiferromagnet on this lattice is of interest as a two-dimensional analog of the…

Statistical Mechanics · Physics 2015-06-24 R. Moessner , Oleg Tchernyshyov , S. L. Sondhi

We report the structural, magnetic and thermodynamic properties of the double perovskite compound La2CuIrO6 from X-ray, neutron diffraction, neutron depolarization, dc magnetization, ac susceptibility, specific heat, muon-spin-relaxation…

We apply the finite-temperature variational cluster approach to a strongly correlated and spin-orbit coupled model for four electrons (i.e. two holes) in the $t_{2g}$ subshell. We focus on parameters suitable for antiferromagnetic Mott…

Strongly Correlated Electrons · Physics 2021-07-21 Jan Lotze , Maria Daghofer

Pyrochlore $\rm Pr^{3+}_{2+x}Zr^{4+}_{2-x}O_{7-x/2}$ samples in the form of both powders $(-0.02 \le x \le 0.02)$ and bulk single crystals have been studied to elucidate the dependence of their magnetic, compositional and structural…

Materials Science · Physics 2014-07-08 S. M. Koohpayeh , J. -J. Wen , B. A. Trump , C. L. Broholm , T. M. McQueen

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…

We perform a general study of spin ordering on the pyrochlore lattice with a 3:1 proportionality of two spin polarizations. Equivalently, this describes valence bond solid conformations of a quantum dimer model on the diamond lattice. We…

Strongly Correlated Electrons · Physics 2007-05-23 Doron L. Bergman , Gregory A. Fiete , Leon Balents

We study spin correlations for the highly frustrated classical pyrochlore lattice antiferromagnets with O(N) symmetry in the limit T->0. We conjecture that a local constraint obeyed by the extensively degenerate ground states dictates a…

Disordered Systems and Neural Networks · Physics 2016-08-31 S. V. Isakov , K. Gregor , R. Moessner , S. L. Sondhi

Muon spin relaxation measurements on some quantum spin ice candidate materials, the insulating pyrochlores Pr2B2O7 (B = Sn, Zr, Hf), have been performed for temperatures in the range 0.05-280 K. The results are indicative of a static…

Strongly Correlated Electrons · Physics 2015-06-22 F. R. Foronda , F. Lang , J. S. Möller , T. Lancaster , A. T. Boothroyd , F. L. Pratt , S. R. Giblin , D. Prabhakaran , S. J. Blundell

The thermodynamic properties of the pyrochlore Yb2Ti2O7 material are calculated using the numericallinked-cluster (NLC) calculation method for an effective anisotropic-exchange spin-1/2 Hamiltonian with parameters recently determined by…

Strongly Correlated Electrons · Physics 2014-04-11 N. R. Hayre , K. A. Ross , R. Applegate , T. Lin , R. R. P. Singh B. D. Gaulin , M. J. P. Gingras

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…

Er2Ti2O7 is believed to be a realization of an XY antiferromagnet on a frustrated lattice of corner-sharing regular tetrahedra. It is presented as an example of the order-by-disorder mechanism in which fluctuations lift the degeneracy of…

Strongly Correlated Electrons · Physics 2012-09-28 P. Dalmas de Reotier , A. Yaouanc , Y. Chapuis , S. H. Curnoe , B. Grenier , E. Ressouche , C. Marin , J. Lago , C. Baines , S. R. Giblin

Muon-spin relaxation results on the pyrochlore iridate Nd$_2$Ir$_2$O$_7$ are reported. Spontaneous coherent muon-spin precession below the metal-insulator transition (MIT) temperature of about 33 K is observed, indicating the appearance of…

Strongly Correlated Electrons · Physics 2013-09-03 Hanjie Guo , Kazuyuki Matsuhira , Ikuto Kawasaki , Makoto Wakeshima , Yukio Hinatsu , Isao Watanabe , Zhu-an Xu

Magnetization and susceptibility studies on single crystals of the pyrochlore Ho$_{2}$Ti$_{2}$O$_{7}$ are reported for the first time. Magnetization isotherms are shown to be qualitatively similar to that predicted by the nearest neighbor…

Disordered Systems and Neural Networks · Physics 2009-11-07 A. L. Cornelius , J. S. Gardner

We report an extensive study on the zero field ground state of a powder sample of the pyrochlore $\mathrm{Yb_2Ti_2O_7}$. A sharp heat capacity anomaly that labels a low temperature phase transition in this material is observed at 280 mK.…

The search for quantum spin liquids (QSL) -- topological magnets with fractionalized excitations -- has been a central theme in condensed matter and materials physics. While theories are no longer in short supply, tracking down materials…

Strongly Correlated Electrons · Physics 2022-05-11 Anish Bhardwaj , Shu Zhang , Han Yan , Roderich Moessner , Andriy H. Nevidomskyy , Hitesh J. Changlani