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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

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

CoAl2O4 spinel with magnetic Co2+ ions on the diamond A-lattice is known to be magnetically frustrated. We compare neutron single crystal diffraction patterns measured in zero and applied magnetic fields with the ones obtained from…

Strongly Correlated Electrons · Physics 2015-06-23 O. Zaharko , S. Tóth , O. Sendetskyi , A. Cervellino , A. Wolter-Giraud , T. Dey , A. Maljuk , V. Tsurkan

Magnetic ordering in the geometrically frustrated magnetic oxide spinels MgCr_2O_4 and ZnCr_2O_4 is accompanied by a structural change that helps relieve the frustration. Analysis of high-resolution synchrotron X-ray scattering reveals that…

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

We determined the magnetic structure of CuCr$_2$O$_4$ using neutron diffraction and irreducible representation analysis. The measurements identified a new phase between 155 K and 125 K as nearly collinear magnetic ordering in the Cr…

Strongly Correlated Electrons · Physics 2018-03-20 K. Tomiyasu , S. Lee , H. Ishibashi , Y. Takahashi , T. Kawamata , Y. Koike , T. Nojima , S. Torii , T. Kamiyama

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

Recent neutron scattering measurements on the spinel CdCr2O4 revealed a rare example of helical magnetic order in geometrically frustrated pyrochlore antiferromagnet. The spin spiral characterized by an incommensurate wavevector Q = 2pi (0,…

Strongly Correlated Electrons · Physics 2013-02-19 Eunsong Choi , Gia-Wei Chern , Natalia Perkins

We review the mechanism of spin-lattice coupling in relieving the geometrical frustration of pyrochlore antiferromagnets, in particular spinel oxides. The tetrahedral unit, which is the building block of the pyrochlore lattice, undergoes a…

Strongly Correlated Electrons · Physics 2018-07-25 O. Tchernyshyov , G. -W. Chern

Frustration in spin system can give rise to unique ordered states and as a consequence several physical phenomena are expected such as multiferroics, high temperature superconductors and anomalous hall effect. Here we report the "new…

Strongly Correlated Electrons · Physics 2018-08-01 GiBaik Sim , SungBin Lee

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

Frustrated magnetic systems exhibit highly degenerate ground states and strong fluctuations, often leading to new physics. An intriguing example of current interest is the antiferromagnet on a diamond lattice, realized physically in A-site…

Materials Science · Physics 2011-09-21 G. J. MacDougall , D. Gout , J. L. Zarestky , G. Ehlers , A. Podlesnyak , M. A. McGuire , D. Mandrus , S. E. Nagler

Our polycrystalline sample study on the Yb-based chalcogenide spinels $A$Yb$_2$$X_4$ ($A =$ Cd, Mg, $X =$ S, Se) has revealed frustrated magnetism due to the antiferromagnetically coupled Heisenberg spin on the pyrochlore lattice. Our…

Strongly Correlated Electrons · Physics 2017-06-07 Tomoya Higo , Kensuke Iritani , Mario Halim , Wataru Higemoto , Takashi U. Ito , Kentaro Kuga , Kenta Kimura , Satoru Nakatsuji

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

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

We demonstrate that the onset of complex spin orders in ACr$_2$O$_4$ spinels with magnetic A$=$Co, Fe and Cu ions lowers the lattice symmetry. This is clearly indicated by the emergence of anisotropic lattice dynamics -- as evidenced by the…

Strongly Correlated Electrons · Physics 2014-01-15 S. Bordacs , D. Varjas , I. Kezsmarki , G. Mihaly , L. Baldassarre , A. Abouelsayed , C. A. Kuntscher , K. Ohgushi , Y. Tokura

Using elastic and inelastic neutron scattering we show that a cubic spinel, CdCr$_2$O$_4$, undergoes an elongation along the c-axis ($c > a = b$) at its spin-Peierls-like phase transition at $T_N$ = 7.8 K. The N\'{e}el phase ($T < T_N$) has…

Strongly Correlated Electrons · Physics 2009-11-11 J. -H. Chung , M. Matsuda , S. -H. Lee , K. Kakurai , H. Ueda , T. J. Sato , H. Takagi , K. -P. Hong , S. Park

Frustration refers to competition between different interactions that cannot be simultaneously satisfied, a familiar feature in many magnetic solids. Strong frustration results in highly degenerate ground states, and a large suppression of…

Strongly Correlated Electrons · Physics 2007-07-03 Doron Bergman , Jason Alicea , Emanuel Gull , Simon Trebst , Leon Balents

The research field of magnetic frustration is dominated by triangle-based lattices but exotic phenomena can also be observed in pentagonal networks. A peculiar noncollinear magnetic order is indeed known to be stabilized in Bi2Fe4O9…

Strongly Correlated Electrons · Physics 2020-04-01 K. Beauvois , V. Simonet , S. Petit , J. Robert , F. Bourdarot , M. Gospodinov , A. A. Mukhin , R. Ballou , V. Skumryev , E. Ressouche

We present an elaborate electron-spin resonance study of the low-energy dynamics and magnetization in the ordered phase of the magnetically frustrated spinel ZnCr$_2$O$_4$. We observe several resonance modes corresponding to different…

Strongly Correlated Electrons · Physics 2010-11-29 V. N. Glazkov , A. M. Farutin , V. Tsurkan , H. -A. Krug von Nidda , A. Loidl
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