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Using synchrotron X-rays and neutron diffraction we disentangle spin-lattice order in highly frustrated ZnCr$_2$O$_4$ where magnetic chromium ions occupy the vertices of regular tetrahedra. Upon cooling below 12.5 K the quandary of…

Strongly Correlated Electrons · Physics 2009-05-14 S. Ji , S. -H. Lee , C. Broholm , T. Y. Koo , W. Ratcliff , S-W. Cheong , P. Zschack

Magnetic systems are fertile ground for the emergence of exotic states when the magnetic interactions cannot be satisfied simultaneously due to the topology of the lattice - a situation known as geometrical frustration. Spinels, AB2O4, can…

Strongly Correlated Electrons · Physics 2015-05-13 M. Matsuda , H. Ueda , A. Kikkawa , Y. Tanaka , K. Katsumata , Y. Narumi , T. Inami , Y. Ueda , S. -H. Lee

A unique type of frustrated lattice is found in two A-site ordered spinel oxides, LiGaCr4O8 and LiInCr4O8. Because of the large size mismatch between Li+ and Ga3+/In3+ ions at the A site, the pyrochlore lattice, made up of Cr3+ ions…

Materials Science · Physics 2015-06-12 Yoshihiko Okamoto , Gøran J. Nilsen , J. Paul Attfield , Zenji Hiroi

Interplay of spin-orbit coupling and vibronic coupling on heavy $d^1$ site of cubic double perovskites is investigated by ab initio calculations. The stabilization energy of spin-orbital-lattice entangled states is found comparable to or…

Strongly Correlated Electrons · Physics 2018-08-23 Naoya Iwahara , Veacheslav Vieru , Liviu F. Chibotaru

The ground state ensemble of the highly frustrated pyrochlore-lattice antiferromagnet can be mapped to a coarse-grained ``polarization'' field satisfying a zero-divergence condition From this it follows that the correlations of this field,…

Statistical Mechanics · Physics 2009-11-10 C. L. Henley

We discuss the ground state of a pyrochlore lattice of threefold-orbitally-degenerate $S=1/2$ magnetic ions. We derive an effective spin-orbital Hamiltonian and show that the orbital degrees of freedom can modulate the spin exchange,…

Strongly Correlated Electrons · Physics 2007-05-23 S. Di Matteo , G. Jackeli , C. Lacroix , N. B. Perkins

We theoretically investigate effects of lattice distortions on the spin ordering of classical Heisenberg antiferromagnets on the breathing pyrochlore lattice. In the model, local lattice distortions originating from the site vibration are…

Strongly Correlated Electrons · Physics 2019-04-15 Kazushi Aoyama , Hikaru Kawamura

We present exact diagonalisation calculations for the spin-1/2 nearest neighbour antiferromagnet on the pyrochlore lattice. We study a section of the lattice in the $[111]$ direction and analyse the Hamiltonian of the breathing pyrochlore…

Strongly Correlated Electrons · Physics 2018-05-02 V. Ravi Chandra , Jyotisman Sahoo

Spin-singlet orders are studied for the antiferromagnetic Heisenberg model with spin $S$>1/2 on a breathing pyrochlore lattice, where tetrahedron units are weakly coupled and exchange constants have two values $0<J' \ll J$. The ground state…

Strongly Correlated Electrons · Physics 2017-02-16 Hirokazu Tsunetsugu

The significance of spin-lattice coupling in the phase diagram of the quantum spin-icepyrochlore Tb2Ti2O7 has been a topic of debate for some time. Here, we focus on the aspect of vibronic coupling, which occurs between the Tb3+ electronic…

Strongly Correlated Electrons · Physics 2026-01-13 K. Amelin , Y. Alexanian , U. Nagel , T. Room , J. Robert , J. Debray , V. Simonet , C. Decorse , Z. Wang , R. Ballou , E. Constable , S. de Brion

We present a computational study of the layered copper oxychloride [CuCl]LaNb(2)O(7) that has been recently proposed as a spin-1/2 frustrated square lattice compound. Our results evidence an orbitally degenerate ground state for the…

Strongly Correlated Electrons · Physics 2009-06-17 Alexander A. Tsirlin , Helge Rosner

We report a neutron diffraction study of the multiferroic mechanism in (ND4)2FeCl5D2O, a molecular compound that exhibits magnetically induced ferroelectricity. This material exhibits two successive magnetic transitions on cooling: a…

Magnetic pyrochlore oxides, including the spin ice materials, have proved to be a rich field for the study of geometrical frustration in 3 dimensions. Recently, a new family of magnetic oxides has been synthesised in which the half of the…

Strongly Correlated Electrons · Physics 2015-12-08 Owen Benton , Nic Shannon

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 consider the quantum spin-$s$ $XXZ$ Heisenberg antiferromagnet on the two- and three-dimensional pyrochlore lattices and examine a spin-Peierls mechanism of lowering the total energy by a lattice distortion in a high magnetic field. For…

Strongly Correlated Electrons · Physics 2007-05-23 Oleg Derzhko , Johannes Richter

Emergent molecular-like excitations have been discovered in a series of pyrochlore antiferromagnets, yet their origins and relationships with the coexisting magnon excitations remain a puzzle. Here, by incorporating the dynamic spin-lattice…

Strongly Correlated Electrons · Physics 2024-12-31 Shang Gao

The consequences of the Jahn-Teller (JT) orbital-lattice coupling for magnetism of pseudospin J_{eff}=1/2 and J_{eff}=0 compounds are addressed. In the former case, represented by Sr_2IrO_4, this coupling generates, through the so-called…

Strongly Correlated Electrons · Physics 2019-02-07 Huimei Liu , Giniyat Khaliullin

Orbital degrees of freedom mediating an interaction between spin and lattice were predicted to raise strong magnetoelectric effect, i.e. realize an efficient coupling between magnetic and ferroelectric orders. However, the effect of orbital…

Strongly Correlated Electrons · Physics 2023-02-01 Vilmos Kocsis , Yusuke Tokunaga , Toomas Rõõm , Urmas Nagel , Jun Fujioka , Yasujiro Taguchi , Yoshinori Tokura , Sándor Bordács

The formation of coplanar spin spirals is a common motif in the magnetic ordering of many frustrated magnets. For classical antiferromagnets, geometric frustration can lead to a massively degenerate ground state manifold of spirals whose…

Strongly Correlated Electrons · Physics 2017-08-31 Jan Attig , Simon Trebst

Frustrated systems are ubiquitous and interesting because their behavior is difficult to predict. Magnetism offers extreme examples in the form of spin lattices where all interactions between spins cannot be simultaneously satisfied. Such…

Strongly Correlated Electrons · Physics 2009-11-07 S. -H. Lee , C. Broholm , W. Ratcliff , G. Gasparovic , Q. Huang , T. H. Kim , S. -W. Cheong