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We use numerical linked cluster (NLC) expansions to compute the specific heat, C(T), and entropy, S(T), of a quantum spin ice model of Yb2Ti2O7 using anisotropic exchange interactions recently determined from inelastic neutron scattering…

Strongly Correlated Electrons · Physics 2012-10-11 R. Applegate , N. R. Hayre , R. R. P. Singh , T. Lin , A. G. R. Day , M. J. P. Gingras

The chromium spinels MgCr2O4 and ZnCr2O4 are prime examples of the highly frustrated pyrochlore lattice antiferromagnet. Experiment has carefully established that both materials, upon cooling, distort to lower symmetry and order…

Strongly Correlated Electrons · Physics 2025-02-28 Ludovic D. C. Jaubert , Yasir Iqbal , Harald O. Jeschke

We present high-resolution single crystal time-of-flight neutron scattering measurements on the candidate quantum spin liquid pyrochlore Tb2Ti2O7 at low temperature and in a magnetic field. At ~70 mK and in zero field, Tb2Ti2O7 reveals…

Strongly Correlated Electrons · Physics 2013-04-16 K. Fritsch , K. A. Ross , Y. Qiu , J. R. D. Copley , T. Guidi , R. I. Bewley , H. A. Dabkowska , B. D. Gaulin

Specific heat, elastic neutron scattering, and muon spin rotation ($\mu$SR) experiments have been carried out on a well-characterized sample of "stuffed" (Pr-rich) Pr$_{2+x}$Ir$_{2-x}$O$_{7-\delta}$. Elastic neutron scattering shows the…

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

Magnetization, magnetocaloric, calorimetric, neutron and X-ray diffraction and inelastic neutron scattering measurements are performed on single crystals of BaCdVO(PO$_4$)$_2$. The low-temperature crystal structure is found to be of a lower…

Strongly Correlated Electrons · Physics 2019-11-07 V. K. Bhartiya , K. Yu. Povarov , D. Blosser , S. Bettler , Z. Yan , S. Gvasaliya , S. Raymond , E. Ressouche , K. Beauvois , J. Xu , F. Yokaichiya , A. Zheludev

The spin dynamics in the geometrically frustrated pyrochlore antiferromagnet $\rm Gd_2Sn_2O_7$ is studied by means of the electron spin resonance. In the ordered phase ($T_N = 1$ K), we have detected three gapped resonance modes. Their…

Strongly Correlated Electrons · Physics 2013-05-29 S. S. Sosin , L. A. Prozorova , P. Bonville , M. E. Zhitomirsky

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…

Numerous experiments on pyrochlore oxides Pr$_2$(Zr, Sn, Hf, Ir)$_2$O$_7$ with non-Kramers Pr$^{3+}$ ions suggest that they support a quantum spin liquid (QSL) ground state, but the precise nature of the QSL remains unclear. Quantum spin…

Strongly Correlated Electrons · Physics 2025-12-15 Tony An , Félix Desrochers , Yong Baek Kim

The spin ice materials, including Ho2Ti2O7 and Dy2Ti2O7, are rare earth pyrochlore magnets which, at low temperatures, enter a constrained paramagnetic state with an emergent gauge freedom. Remarkably, the spin ices provide one of very few…

Strongly Correlated Electrons · Physics 2014-07-29 Michel J. P. Gingras , Paul A. McClarty

Insulating magnetic rare-earth pyrochlores related to spin ice host emergent bosonic monopolar spinons, which obey a magnetic analogue of quantum electrodynamics and may open a route to a magnetic analogue of electronics. However, the…

Materials Science · Physics 2019-02-20 Shigeki Onoda , Fumiyuki Ishii

From a microscopic model for the pyrochlore antiferromagnet Tb2Sn2O7, including the crystal field Hamiltonian and interactions between the angular momenta, we compute an effective pseudospin-1/2 Hamiltonian Heff$ that incorporates…

Statistical Mechanics · Physics 2010-11-30 Paul A. McClarty , Pawel Stasiak , Michel J. P. Gingras

The ordering property of the classical pyrochlore Heisenberg antiferromagnet with the ferromagnetic next-nearest-neighbor interaction is investigated by means of a Monte Carlo simulation. The model is found to exhibit a first-order…

Statistical Mechanics · Physics 2015-06-25 Daisuke Tsuneishi , Masayuki Ioki , Hikaru Kawamura

MgCr$_{2}$O$_{4}$ is one of the best-known realizations of the pyrochlore-lattice Heisenberg antiferromagnet. The strong antiferromagnetic exchange interactions are perturbed by small further-neighbor exchanges such that this compound may…

Strongly Correlated Electrons · Physics 2023-09-07 L. S. Nassar , H. Lane , B. Haberl , M. Graves-Brook , B. Winn , S. M. Koohpayeh , M. Mourigal

In spinels ACr2O4 (A=Mg, Zn) realisation of the classical pyrochlore Heisenberg antiferromagnet model is complicated by a strong spin-lattice coupling: the extensive degeneracy of the ground state is lifted by a magneto-structural…

We investigate the temperature dependence of the spin dynamics in the pyrochlore magnet Nd$_2$Zr$_2$O$_7$ by neutron scattering experiments. At low temperature, this material undergoes a transition towards an "all in - all out"…

Strongly Correlated Electrons · Physics 2021-07-22 M. Léger , E. Lhotel , M. Ciomaga Hatnean , J. Ollivier , A. R. Wildes , S. Raymond , E. Ressouche , G. Balakrishnan , S. Petit

The quantum pyrochlore antiferromagnet is studied by perturbative expansions and exact diagonalization of small clusters. We find that the ground state is a spin-liquid state: The spin-spin correlation functions decay exponentially with…

Strongly Correlated Electrons · Physics 2009-10-31 Benjamin Canals , Claudine Lacroix

Several rare earth magnetic pyrochlore materials are well modeled by a spin-1/2 quantum Hamiltonian with anisotropic exchange parameters Js. For the Er2Ti2O7 material, the Js were recently determined from high-field inelastic neutron…

Strongly Correlated Electrons · Physics 2014-04-11 J. Oitmaa , R. R. P. Singh , A. G. R. Day , B. V. Bagheri , M. J. P. Gingras

Tb2Ti2O7 is a pyrochlore antiferromagnet that has dynamical spins and only short-range correlations even at 50 mK; the lowest temperature explored so far, which is much smaller than the scale set by the Curie-Weiss temperature T_{CW}~14 K.…

Statistical Mechanics · Physics 2009-12-16 Hamid R. Molavian , Paul A. McClarty , Michel J. P. Gingras

The three-dimensional frustrated spin lattice in MgCrGaO4, where Cr3+ ions occupy a pyrochlore-like network, exemplifies a quantum magnet with competing interactions, macroscopic degeneracy, and exotic low-energy excitations. Using…

Strongly Correlated Electrons · Physics 2026-03-17 U. Jena , S. Kundu , Suheon Lee , Q. Faure , F. Damay , S. Rols , Adam Berlie , S. Petit , Kwang-Yong Choi , P. Khuntia