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Lattice-coupled antiferromagnetic spin model is analyzed for a number of frustrated lattices: triangular, Kagome, and pyrochlore. In triangular and Kagome lattices where ground state spins are locally ordered, the spin-lattice interaction…

Strongly Correlated Electrons · Physics 2009-11-10 Chenglong Jia , Jung Hoon Han

In antiferromagnets, the interplay of spin frustration and spin-lattice coupling has been extensively studied as the source of complex spin patterns and exotic magnetism. Here, we demonstrate that, although neglected in the past, the…

The ground-state properties of the spin-1 antiferromagnetic Heisenberg model on the corner-sharing tetrahedra, pyrochlore lattice, is investigated. By breaking up each spin into a pair of 1/2-spins, the problem is reduced to the equivalent…

Strongly Correlated Electrons · Physics 2009-10-31 Yasufumi Yamashita , Kazuo Ueda

The spin-lattice coupling plays an important role in strongly frustrated magnets. In ZnCr$_2$O$_4$, an excellent realization of the Heisenberg antiferromagnet on the ``pyrochlore'' network, a lattice distortion relieves the geometrical…

Strongly Correlated Electrons · Physics 2009-11-10 A. B. Sushkov , H. D. Drew , O. Tchernyshyov , W. Ratcliff , S. W. Cheong

In the highly frustrated pyrochlore magnet spins form a lattice of corner sharing tetrahedra. We show that the tetrahedral ``molecule'' at the heart of this structure undergoes a Jahn-Teller distortion when lattice motion is coupled to the…

Strongly Correlated Electrons · Physics 2007-05-23 Oleg Tchernyshyov , R. Moessner , S. L. Sondhi

The collective behavior of interacting magnetic moments can be strongly influenced by the topology of the underlying lattice. In geometrically frustrated spin systems, interesting chiral correlations may develop that are related to the spin…

Strongly Correlated Electrons · Physics 2007-05-23 D. Grohol , K. Matan , J. H. Cho , S. -H. Lee , J. W. Lynn , D. G. Nocera , Y. S. Lee

Effects of local lattice distortions on the spin ordering are investigated for the antiferromagnetic classical Heisenberg model on the pyrochlore lattice. It is found by Monte Carlo simulations that the spin-lattice coupling (SLC)…

Strongly Correlated Electrons · Physics 2016-07-19 Kazushi Aoyama , Hikaru Kawamura

Motivated by puzzling characteristics of spin-glass transitions widely observed in pyrochlore-based frustrated materials, we investigate effects of coupling to local lattice distortions in a bond-disordered antiferromagnet on the pyrochlore…

Strongly Correlated Electrons · Physics 2011-07-22 Hiroshi Shinaoka , Yusuke Tomita , Yukitoshi Motome

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 theoretically investigate spin-lattice coupling (SLC) effects on the in-field ordering properties of classical Heisenberg antiferromagnets on the breathing pyrochlore lattice. Here, we use the two possible simplified models describing…

Strongly Correlated Electrons · Physics 2021-12-07 Kazushi Aoyama , Masaki Gen , Hikaru Kawamura

The standard approach to realize a spin liquid state is through magnetically frustrated states, relying on ingredients such as the lattice geometry, dimensionality, and magnetic interaction type of the spins. While Heisenberg spins on a…

Strongly Correlated Electrons · Physics 2025-04-10 Margarita G. Dronova , Vaclav Petricek , Zachary Morgan , Feng Ye , Daniel M. Silevitch , Yejun Feng

We present a model describing the lattice distortion and incommensurate magnetic order in the spinel CdCr2O4, a good realization of the Heisenberg "pyrochlore" antiferromagnet. The magnetic frustration is relieved through the spin-Peierls…

Strongly Correlated Electrons · Physics 2007-05-23 Gia-Wei Chern , C. J. Fennie , O. Tchernyshyov

We study an extended model to describe the spin-lattice coupling, incorporating individual vibrations of bonds and atomic sites alongside distance-dependent exchange interactions. The proposed spin Hamiltonian can be effectively considered…

Strongly Correlated Electrons · Physics 2026-03-10 Masaki Gen , Hidemaro Suwa , Shusaku Imajo , Chao Dong , Hiroaki Ueda , Makoto Tachibana , Akihiko Ikeda , Koichi Kindo , Yoshimitsu Kohama

As an instance of geometrical frustration with non-magnetic degrees of freedom, we explore the physics of local spin $S\geq 1$ moments on the pyrochlore lattice that interact via pure quadrupolar couplings. In the presence of spin-orbit…

Strongly Correlated Electrons · Physics 2025-06-26 Kristian Tyn Kai Chung , Sylvain Petit , Julien Robert , Paul McClarty

Geometric frustration inhibits magnetic systems from ordering, opening a window to unconventional phases of matter. The paradigmatic frustrated lattice in three dimensions to host a spin liquid is the pyrochlore, although there remain few…

Correlation functions (CFs) of the classical Heisenberg antiferromagnet on the pyrochlore lattice are studied by solving exactly the infinite-component spin-vector model. % As in many Fully Frustrated Lattices, the constraint due to the…

Strongly Correlated Electrons · Physics 2009-11-07 Benjamin Canals , Dmitry Garanin

The hierarchy of the coupling strengths in a physical system often engenders an effective model at low energies where the decoupled high-energy modes are integrated out. Here, using neutron scattering, we show that the spin excitations in…

We study spin correlations for the highly frustrated classical pyrochlore lattice antiferromagnets with O(N) symmetry in the limit T->0. We conjecture that a local constraint obeyed by the extensively degenerate ground states dictates a…

Disordered Systems and Neural Networks · Physics 2016-08-31 S. V. Isakov , K. Gregor , R. Moessner , S. L. Sondhi

The ground state of the S=1/2 Heisenberg antiferromagnet on the pyrochlore lattice is theoretically investigated. Starting from the limit of isolated tetrahedra, I include interactions between the tetrahedra and obtain an effective model…

Strongly Correlated Electrons · Physics 2009-11-07 Hirokazu Tsunetsugu

The centred pyrochlore lattice is a novel geometrically frustrated lattice, realized in the metal-organic framework Mn(ta)$_2$ (arXiv:2203.08780) where the basic unit of spins is a five site centred tetrahedron. Here, we present an in-depth…

Strongly Correlated Electrons · Physics 2023-07-26 Rajah P. Nutakki , Ludovic D. C. Jaubert , Lode Pollet
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