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Examples of materials where an "order by disorder" mechanism is at play to select a particular ground state are scarce. It has recently been proposed, however, that the antiferromagnetic XY pyrochlore Er2Ti2O7, reveals a most convincing…

Strongly Correlated Electrons · Physics 2015-06-23 S. Petit , J. Robert , S. Guitteny , P. Bonville , C. Decorse , J. Ollivier , H. Mutka , M. J. P. Gingras , I. Mirebeau

The very low temperature properties of two pyrochlore compounds, Yb2Ti2O7 and Gd2Sn2O7, were investigated using an ensemble of microscopic and bulk techniques. In both compounds, a first order transition is evidenced, as well as spin…

In the pyrochlore compounds, Tb$_2$Ti$_2$O$_7$ and Tb$_2$Sn$_2$O$_7$, only the Tb$^{3+}$ ions are magnetic. They exhibit quite abnormal -- and, in view of their chemical similarity, strikingly different -- magnetic behaviour, as probed by…

Strongly Correlated Electrons · Physics 2009-11-11 I. Mirebeau , A. Apetrei , I. N. Goncharenko , R. Moessner

Geometrical frustration, as in pyrochlore lattices made of corner-sharing tetrahedra, precludes the onset of conventional magnetic ordering, enabling the stabilization of fluctuating spin states at low temperature. Disorder is a subtle…

The recent determination of a robust spin Hamiltonian for the anti-ferromagnetic XY pyrochlore Er2Ti2O7 reveals a most convincing case of the "order by quantum disorder" (ObQD) mechanism for ground state selection. This mechanism relies on…

Strongly Correlated Electrons · Physics 2014-02-13 K. A. Ross , Y. Qiu , J. R. D. Copley , H. A. Dabkowska , B. D. Gaulin

Reentrance, the return of a system from an ordered phase to a previously encountered less-ordered one as a controlled parameter is continuously varied, is a recurring theme found in disparate physical systems, from condensed matter to black…

Strongly Correlated Electrons · Physics 2022-01-12 D. R. Yahne , D. Pereira , L. D. C. Jaubert , L. D. Sanjeewa , M. Powell , J. W. Kolis , Guangyong Xu , M. Enjalran , M. J. P. Gingras , K. A. Ross

Pyrochlore systems are ideally suited to the exploration of geometrical frustration in three dimensions, and their rich phenomenology encompasses topological order and fractional excitations. Classical spin ices provide the first context in…

We present here magnetization, specific heat and Raman studies on single-crystalline specimens of the first pyrochlore member $Sm_2Ti_2O_7$ of the rare-earth titanate series. Its analogous compound $Sm_2Zr_2O_7$ in the rare-earth zirconate…

Materials Science · Physics 2009-11-13 Surjeet Singh , Surajit Saha , S. K. Dhar , R. Suryanarayanan , A. K. Sood , A. Revcolevschi

The charge ordered structure of ions and vacancies characterizing rare-earth pyrochlore oxides serves as a model for the study of geometrically frustrated magnetism. The organization of magnetic ions into networks of corner-sharing…

Extensive experimental investigations of the magnetic structures and excitations in the XY pyrochlores have been carried out over the last decade. Three families of XY pyrochlores have emerged: Yb$_2B_2$O$_7$, Er$_2B_2$O$_7$, and, most…

Strongly Correlated Electrons · Physics 2020-09-14 Alannah M. Hallas , Jonathan Gaudet , Bruce D. Gaulin

The Tb$_2$Ti$_2$O$_7$ pyrochlore magnetic material is attracting much attention for its {\em spin liquid} state, failing to develop long range order down to 50 mK despite a Curie-Weiss temperature $\theta_{\rm CW} \sim -14$ K. In this paper…

Statistical Mechanics · Physics 2007-05-23 Hamid R. Molavian , Michel J. P. Gingras , Benjamin Canals

Pyrochlore magnets have proven to provide an excellent arena for the realization of a variety of many-body phenomena such as classical and quantum order-by-disorder, as well as spin liquid phases described by emergent gauge field theories.…

Strongly Correlated Electrons · Physics 2025-02-21 Niccolò Francini , Lukas Janssen , Daniel Lozano-Gómez

Er_2Ti_2O_7 has been suggested to be a realization of the frustrated < 111 > XY pyrochlore lattice antiferromagnet, for which theory predicts fluctuation-induced symmetry breaking in a highly degenerate ground state manifold. We present a…

While geometrically frustrated quantum magnets are known for a variety of exotic spin states that are of great interests of understanding emergent phenomena as well as enabling revolutionary quantum technologies, most of them are…

Strongly Correlated Electrons · Physics 2023-03-16 H. Zhang , C. K. Xing , K. Noordhoek , Z. Liu , T. H. Zhao , L. Horák , Q. Huang , L. Hao , J. Yang , S. Pandey , E. Dagotto , Z. Jiang , J. H. Chu , Y. Xin , E. S. Choi , H. D. Zhou , J. Liu

Among the frustrated magnetic materials, spin-ice stands out as a particularly interesting system. Residual entropy, freezing and glassiness, Kasteleyn transitions and fractionalisation of excitations in three dimensions all stem from a…

The magnetic pyrochlore oxide materials of general chemical formula R2Ti2O7 and R2Sn2O7 (R = rare earth) display a host of interesting physical behaviours depending on the flavour of rare earth ion. These properties depend on the value of…

Statistical Mechanics · Physics 2015-06-24 Adrian G. Del Maestro , Michel J. P. Gingras

The description and detection of unconventional magnetic states such as spin liquids is a recurring topic in condensed matter physics. While much of the efforts have traditionally been directed at geometrically frustrated antiferromagnets,…

Strongly Correlated Electrons · Physics 2018-05-25 L. Bovo , M. Twengström , O. A. Petrenko , T. Fennell , M. J. P. Gingras , S. T. Bramwell , P. Henelius

The geometrically frustrated magnet Ni3V2O8 undergoes a series of competing magnetic ordering at low temperatures. Most importantly, one of the incommensurate phases has been reported to develop a ferroelectric correlation caused by spin…

Materials Science · Physics 2009-06-26 A. K. Singh , D. Jain , V. Ganesan , A. K. Nigam , S. Patnaik

There are reasons to believe that the ground state of the magnetic rare earth pyrochlore Yb$_2$Ti$_2$O$_7$ is on the boundary between competing ground states. We have carried out $\mathrm{\textit{ab initio}}$ density functional calculations…

Strongly Correlated Electrons · Physics 2018-06-20 Soham S. Ghosh , Efstratios Manousakis

Gd2GaSbO7 and Gd2InSbO7 pyrochlore compounds exhibit quantum fluctuations in a spin ice-like state. These compounds have not been adequately studied based on the concept of magnetic frustration. Here, we have synthesised and characterised…

Strongly Correlated Electrons · Physics 2024-08-06 S. Nallamuthu , Andrea Dzubinska , K. Arun , Vimaljith A. R , Marian Reiffers , R. Nagalakshmi , Ivan Curlik , Sergej Ilkovic