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Some frustrated pyrochlore antiferromagnets, such as Y2Mo2O7, show a spin-freezing transition and magnetic irreversibilities below a temperature Tf similar to what is observed nonlinear magnetization measurements on Y2Mo2O7 that provide…

Disordered Systems and Neural Networks · Physics 2009-10-28 M. J. P. Gingras , C. V. Stager , N. P. Raju , B. D. Gaulin , J. E. Greedan

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

To study non-Heisenberg effects in the vicinity of spin crossover in strongly correlated electron systems we derive an effective low-energy Hamiltonian for the two-band Kanamori model. It contains Heisenberg high-spin term proportional to…

Strongly Correlated Electrons · Physics 2019-10-22 V. I. Kuz'min , Yu. S. Orlov , A. E. Zarubin , T. M. Ovchinnikova , S. G. Ovchinnikov

Since thermal fluctuations become more important as dimensions shrink, it is expected that low-dimensional magnets are more sensitive to lattice distortions and phonons than bulk systems are. Here we present a fully relativistic…

Materials Science · Physics 2022-04-06 Banasree Sadhukhan , Anders Bergman , Yaroslav O. Kvashnin , Johan Hellsvik , Anna Delin

Rare-earth pyrochlores are known to exhibit exotic magnetic phenomena. We report a study of crystal growth and characterizations of a new rare-earth compound Er$_2$AlSbO$_7$, in which Al$^{3+}$ and Sb$^{5+}$ ions share the same positions…

An $S=1/2$ ferromagnetic (F) - antiferromagnetic (AF) random alternating Heisenberg quantum spin chain model is investigated in connection to its realization compound: (CH$_3$)$_2$CHNH$_3$Cu(Cl$_x$Br$_{1-x}$)$_3$. The exchange interaction…

Disordered Systems and Neural Networks · Physics 2009-11-10 Tota Nakamura

We study the finite-temperature transition in a model XY antiferromagnet on a pyrochlore lattice, which describes the pyrochlore material Er2Ti2O7. The ordered magnetic structure selected by thermal fluctuations is six-fold degenerate.…

Strongly Correlated Electrons · Physics 2014-04-15 M. E. Zhitomirsky , P. C. W. Holdsworth , R. Moessner

We use the rotation-invariant Green's function method (RGM) and the high-temperature expansion (HTE) to study the thermodynamic properties of the Heisenberg antiferromagnet on the pyrochlore lattice. We discuss the excitation spectra as…

Strongly Correlated Electrons · Physics 2019-07-24 Patrick Müller , Andre Lohmann , Johannes Richter , Oleg Derzhko

Experimental evidence from measurements of the a.c. and d.c. susceptibility, and heat capacity data show that the pyrochlore structure oxide, Gd_2Ti_2O_7, exhibits short range order that starts developing at 30K, as well as long range…

Disordered Systems and Neural Networks · Physics 2009-10-31 N. P. Raju , M. Dion , M. J. P. Gingras , T. E. Mason , J. E. Greedan

High pressure can provoke spin transitions in transition metal-bearing compounds. These transitions are of high interest not only for fundamental physics and chemistry, but also may have important implications for geochemistry and…

Using powder neutron diffraction we have discovered an unusual magnetic order-order transition in the Ising spin chain compound Ca3Co2O6. On lowering the temperature an antiferromagnetic phase with propagation vector k=(0.5,-0.5,1) emerges…

Strongly Correlated Electrons · Physics 2011-05-17 S. Agrestini , C. L. Fleck , L. C. Chapon , C. Mazzoli , A. Bombardi , M. R. Lees , O. A. Petrenko

Muon spin rotation and relaxation experiments in the pyrochlore iridate Eu2Ir2O7 yield a well-defined muon spin precession frequency below the metal-insulator/antiferromagnetic transition temperature TM = 120 K, indicative of long-range…

Strongly Correlated Electrons · Physics 2015-03-19 Songrui Zhao. J. M. Mackie , D. E. MacLaughlin , O. O. Bernal , J. J. Ishikawa , Y. Ohta , S. Nakatsuji

Motivated by puzzling aspects of spin-glass behavior reported in frustrated magnetic materials, we theoretically investigate effects of magnetoelastic coupling in geometrically frustrated classical spin models. In particular, we consider…

Strongly Correlated Electrons · Physics 2014-10-28 Hiroshi Shinaoka , Yusuke Tomita , Yukitoshi Motome

We address the concomitant metal-insulator transition (MIT) and antiferromagnetic ordering in the novel pyrochlore iridate Eu2Ir2O7 by combining x-ray absorption spectroscopy, x-ray and neutron diffractions and density functional theory…

In this paper we present a study of magnetic order of quantum Heisenberg spins on pyrochlore type lattices: a lattice of corner sharing tetrahedra. We use the Cluster Variation Approximation with the tetrahedron as basic cluster. We find…

Strongly Correlated Electrons · Physics 2007-05-23 Wiebe Geertsma

We investigate heavy fermion behaviors in the vanadium spinel LiV_2O_4. We start from a three-orbital Hubbard model on the pyrochlore lattice and derive its low-energy effective Hamiltonian by an approach of real-space renormalization group…

Strongly Correlated Electrons · Physics 2009-11-13 Kazumasa Hattori , Hirokazu Tsunetsugu

We study the effect in geometrically frustrated antiferromagnets of weak, random variations in the strength of exchange interactions. Without disorder the simplest classical models for these systems have macroscopically degenerate ground…

Disordered Systems and Neural Networks · Physics 2010-05-05 A. Andreanov , J. T. Chalker , T. E. Saunders , D. Sherrington

FeO (w\"ustite), which exhibits complex electronic and structural properties with increasing pressure and temperature, is a key mineralogical phase for understanding deep planetary interiors. However, direct measurements of its spin state…

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

It is shown that the mechanism of order out of disorder is at work in the antisymmetric pyrochlore antiferromagnet. Quantum as well as thermal fluctuations break the continuous degeneracy of the classical ground state manifold and reduce…

Strongly Correlated Electrons · Physics 2009-11-13 Benjamin Canals , Maged Elhajal , Claudine Lacroix