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The series of magnetic rare earth pyrochlore stannates R2Sn2O7 (R = rare earth, except Ce and Pm) have been investigated by powder susceptibility measurements down to T =1.8 K. The results are compared to results for the analogous titanate…

Materials Science · Physics 2009-11-07 V. Bondah-Jagalu , S. T. Bramwell

We study the ground-state and low-energy properties of classical vector spin models with nearest-neighbour antiferromagnetic interactions on a class of geometrically frustrated lattices which includes the kagome and pyrochlore lattices. We…

Statistical Mechanics · Physics 2009-10-31 R. Moessner , J. T. Chalker

We report neutron diffraction measurements of the magnetic structures in two pyrochlore iridates, Yb2Ir2O7 and Lu2Ir2O7. Both samples exhibit the all-in-all-out magnetic structure on the Ir4+ sites below TN~ 150,K, with a low temperature…

Pyrochlore magnets are a paradigmatic example of three-dimensional frustrated systems and provide an excellent platform for studying a variety of exotic many-body phenomena, including spin liquids, nematic phases, fragmentation, and order…

Strongly Correlated Electrons · Physics 2025-10-29 Niccolò Francini , Lukas Schmidt , Lukas Janssen , Daniel Lozano-Gómez

Quantum spin ice is an appealing proposal of a quantum spin liquid - systems where the magnetic moments of the constituent electron spins evade classical long-range order to form an exotic state that is quantum entangled and coherent over…

A model for a Heisenberg antiferromagnet on a pyrochlore lattice with exchange and dipole-dipole interactions is studied via mean-field theory. In treating the dipoles by use of the Ewald method, a soft (critical) mode with a unique…

Statistical Mechanics · Physics 2007-05-23 Matthew Enjalran , Michel J. P. Gingras

We study the finite temperature properties of the candidate quantum spin ice material Yb$_2$Ti$_2$O$_7$ within the framework of an anisotropic nearest-neighbor spin $1/2$ model on the pyrochlore lattice. Using a combination of finite…

Strongly Correlated Electrons · Physics 2018-05-21 Hitesh J. Changlani

The pyrochlore material Yb2Ti2O7 displays unexpected quasi-two-dimensional (2D) magnetic correlations within a cubic lattice environment at low temperatures, before entering an exotic disordered ground state below T=265mK. We report neutron…

Strongly Correlated Electrons · Physics 2012-02-13 K. A. Ross , L. R. Yaraskavitch , M. Laver , J. S. Gardner , J. A. Quilliam , S. Meng , J. B. Kycia , D. K. Singh , H. A. Dabkowska , B. D. Gaulin

We study the effect of quantum fluctuations on the half-polarized magnetization plateau of a pyrochlore antiferromagnet. We argue that an expansion around the easy axis limit is appropriate for discussing the ground state selection amongst…

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

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

Motivated by recent neutron scattering experiments, we derive and study an effective "pseudo-dipolar" spin-1/2 model for the XY pyrochlore antiferromagnet Er2Ti2O7. While a bond-dependent in-plane exchange anisotropy removes any continuous…

Strongly Correlated Electrons · Physics 2012-08-17 M. E. Zhitomirsky , M. V. Gvozdikova , P. C. W. Holdsworth , R. Moessner

Frustrated magnets typically possess a large space of classical ground states. If this degeneracy is not protected by symmetry, thermal fluctuations may `select' certain states via order-by-disorder. In this article, we examine a precursor…

Strongly Correlated Electrons · Physics 2024-04-02 Alwyn Jose Raja , R. Ganesh

The complexity embedded in condensed matter fertilizes the discovery of new states of matter, enriched by ingredients like frustration. Illustrating examples in magnetic systems are Kitaev spin liquids, skyrmions phases, or spin ices. These…

Strongly Correlated Electrons · Physics 2017-02-10 E. Lefrançois , V. Cathelin , E. Lhotel , J. Robert , P. Lejay , C. V. Colin , B. Canals , F. Damay , J. Ollivier , B. Fåk , L. C. Chapon , R. Ballou , V. Simonet

The pyrochlore magnet Tb$_{2}$Ti$_{2}$O$_{7}$ shows a lack of magnetic order to low temperatures and is considered to be a quantum spin liquid candidate. We perform time-domain THz spectroscopy on high quality Tb$_{2}$Ti$_{2}$O$_{7}$…

Strongly Correlated Electrons · Physics 2021-04-21 Xinshu Zhang , Yi Luo , T. Halloran , J. Gaudet , Huiyuan Man , S. M. Koohpayeh , N. P. Armitage

Motivated by the magnetism of pyrochlore oxides, we consider the effect of quantum fluctuations in the most general symmetry-allowed nearest-neighbor Kramers exchange Hamiltonian on the pyrochlore lattice. At the classical level, this…

Strongly Correlated Electrons · Physics 2025-08-12 Lasse Gresista , Daniel Lozano-Gómez , Matthias Vojta , Simon Trebst , Yasir Iqbal

Low-temperature powder neutron diffraction measurements are performed in the ordered magnetic state of the pyrochlore antiferromagnet Gd2Sn2O7. Symmetry analysis of the diffraction data indicates that this compound has the ground state…

We study the ground state properties of an anisotropic, quasi-2D version of the quantum (S=1/2) pyrochlore antiferromagnet. In the presence of Dzyaloshinsky-Moriya interactions, in addition to the Heisenberg exchanges, it is shown that two…

Strongly Correlated Electrons · Physics 2008-10-08 Valeri N. Kotov

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

We construct a model for interacting electrons with strong spin orbit coupling in the pyrochlore iridates. We establish the importance of the direct hopping process between the Ir atoms and use the relative strength of the direct and…

Strongly Correlated Electrons · Physics 2012-02-02 William Witczak-Krempa , Yong Baek Kim

We report measurements performed on a polycrystalline sample of the pyrochlore compound Nd2Sn2O7. It undergoes a second order magnetic phase transition at Tc ~ 0.91 K to a noncoplanar all-in-all-out magnetic structure of the Nd3+ magnetic…

Strongly Correlated Electrons · Physics 2015-11-04 A. Bertin , P. Dalmas de Reotier , B. Fak , C. Marin , A. Yaouanc , A. Forget , D. Sheptyakov , B. Frick , C. Ritter , A. Amato , C. Baines , P. J. C. King