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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

Frustration in magnetic interactions can give rise to disordered ground states with subtle and beautiful properties. The spin ices Ho2Ti2O7 and Dy2Ti2O7 exemplify this phenomenon, displaying a classical spin liquid state, with…

Strongly Correlated Electrons · Physics 2017-12-11 Mathieu Taillefumier , Owen Benton , Han Yan , L. D. C. Jaubert , Nic Shannon

Rapidly developing science and technology demand new materials with versatile and promising properties for practical applications. In this context, pseudo-octahedral iron(II) spin crossover (SCO) complexes are particularly appealing - not…

In many transition metal compounds, in particular those containing Fe^{2+} and Co^{3+}, there occur spin-state transitions between low-spin and high-spin (or intermediate-spin) states. We show that typical interactions between similar…

Strongly Correlated Electrons · Physics 2007-05-23 D. I. Khomskii , U. Löw

Quantum spin ice materials, pyrochlore magnets with competing Ising and transverse exchange interactions, have been widely discussed as candidates for a quantum spin-liquid ground state. Here, motivated by quantum chemical calculations for…

Strongly Correlated Electrons · Physics 2018-08-15 Owen Benton , L. D. C. Jaubert , Rajiv Singh , Jaan Oitmaa , Nic Shannon

The low temperature entropy of the the spin ice compounds, such as Ho$_2$Ti$_2$O$_7$ and Dy$_2$Ti$_2$O$_7$, is well described by the nearest-neighbor antiferromagnetic Ising model on the pyrochlore lattice, i.e.\ by the ``ice rules''. This…

Statistical Mechanics · Physics 2007-05-23 S. V. Isakov , R. Moessner , S. L. Sondhi

Molecular spin crossover switches are the objects of intense theoretical and experimental studies in recent years. This interest is due to the fact that these systems allow one to control their spin state by applying an external photo-,…

Mesoscale and Nanoscale Physics · Physics 2016-02-17 Oleg V. Farberovich , Victoria L. Mazalova , Valeri S. Stepanyuk

Ising models on a pyrochlore oxide lattice are usually associated with spin ice materials and "magnetic monopoles". Ever more often effects connecting magnetic and elastic degrees of freedom are reported on these and other related…

Strongly Correlated Electrons · Physics 2020-12-01 D. Slobinsky , L. Pili , G. Baglietto , S. A. Grigera , R. A. Borzi

We report on the study of unusual spin glass properties in the geometrically frustrated pyrochlore Tb$_{2}$Mo$_{2}$O$_{7}$, $T$$_{g}$$\simeq$24 K. The analysis of the nonlinear part of dc and complex susceptibilities, near the glass…

Strongly Correlated Electrons · Physics 2013-09-17 D. K. Singh , Y. S. Lee

Quantum spin ice in pyrochlore lattice exemplifies three dimensional frustrated spin systems.In existing studies, Bose-Einstein condensation of bosonic spinons gives rise to magnetically ordered ground state.A truly liquid quantum spin…

Strongly Correlated Electrons · Physics 2018-11-14 Imam Makhfudz

The structural and magnetic properties of two mixed-valence cobaltites with formal population of 0.30 Co$^{4+}$ ions per f.u., (Pr$_{1-y}$Y$_{y}$)$_{0.7}$Ca$_{0.3}$CoO$_3$ ($y=0$ and 0.15), have been studied down to very low temperatures by…

Materials Science · Physics 2015-06-17 K. Knizek , J. Hejtmanek , M. Marysko , P. Novak , E. Santava , Z. Jirak , T. Naito , H. Fujishiro , C. R. dela Cruz

The ground states of Klein type spin models on the pyrochlore and checkerboard lattice are spanned by the set of singlet dimer coverings, and thus possess an extensive ground--state degeneracy. Among the many exotic consequences is the…

Strongly Correlated Electrons · Physics 2015-06-25 Z. Nussinov , C. D. Batista , B. Normand , S. A. Trugman

Spin-state ordering - a periodic pattern of ions with different spin-state configurations along a crystal lattice - is a rare phenomenon, and its possible interrelation with other electronic degrees of freedom remains little explored. Here…

Strongly Correlated Electrons · Physics 2024-03-27 E. Granado , C. W. Galdino , B. D. Moreno , G. King , D. C. Freitas

In this work we investigate the phase diagram of heavy (4d and 5d) transition metal oxides on the pyrochlore lattice, such as those of the form $\mathrm{A_2M_2O_7}$, where A is a rare earth element and M is a transition metal element. We…

Strongly Correlated Electrons · Physics 2015-03-17 Mehdi Kargarian , Jun Wen , Gregory A. Fiete

The forging of strong correlations on decreasing temperature can take place without the arousal of conventional order. If this happens, as in some geometrically frustrated magnets, disorder can be a phenomenon more interesting than order…

Statistical Mechanics · Physics 2019-07-31 D. Slobinsky , L. Pili , R. A. Borzi

We show how to use polar molecules in an optical lattice to engineer quantum spin models with arbitrary spin S >= 1/2 and with interactions featuring a direction-dependent spin anisotropy. This is achieved by encoding the effective spin…

We study the two-step spin crossover in a double-layered elastic model based on transition metal complexes each taking high spin (HS) and low spin (LS) states. Here, only the simplest elastic interactions between adjacent molecules are…

Materials Science · Physics 2017-11-15 Daisuke Taniguchi , Jun Okabayashi , Chisa Hotta

It has previously been pointed out that the coexistence of infinite-range and short-range interactions causes a system to have a phase transition of the mean-field universality class, in which the cluster size is finite even at the critical…

When the spins on the frustrated pyrochlore lattice obey the celebrated 2-$in$-2-$out$ ice rule, they stay in a correlated disordered phase and break the third law of thermodynamics. Similarly, if the atomic ions on the pyrochlore lattice…

Strongly Correlated Electrons · Physics 2022-10-26 Kota Mitsumoto , Chisa Hotta , Hajime Yoshino

The quantum spin liquid (QSL) is a highly entangled magnetic state characterized by the absence of static magnetism in its ground state. Instead, the spins fluctuate in a highly correlated way down to the lowest temperatures. The QSL is…