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Frustrated systems exhibit remarkable properties due to the high degeneracy of their ground states. Stabilised by competing interactions, a rich diversity of typically nanometre-sized phase structures appear in polymer and colloidal…

Geometric frustration emerges when local interaction energies in an ordered lattice structure cannot be simultaneously minimized, resulting in a large number of degenerate states. The numerous degenerate configurations may lead to practical…

We report specific heat, magnetic, and muon spin relaxation measurements performed on a polycrystalline sample of the normal spinel CdHo2S4. The rare-earth ions sit on a lattice of corner-sharing regular tetrahedra as in pyrochlore…

Strongly Correlated Electrons · Physics 2015-10-05 A. Yaouanc , P. Dalmas de Reotier , A. Bertin , C. Marin , E. Lhotel , A. Amato , C. Baines

We present the magnetic properties of complete solid solutions of ZnCr$_2$O$_4$ and CoCr$_2$O$_4$: two well-studied oxide spinels with very different magnetic ground states. ZnCr$_2$O$_4$, with non-magnetic $d^{10}$ cations occupying the A…

Materials Science · Physics 2009-06-04 Brent C. Melot , Jennifer E. Drewes , Ram Seshadri , Arthur P. Ramirez

Complex lattices provide a versatile ground for fascinating quantum many-body physics. Here, we propose an exotic mechanics for generating orbital frustration in hexagonal lattices. We study two-component (pseudospin-$1/2$) Bose gases in…

Quantum Gases · Physics 2021-09-29 Yongqiang Li , Jianmin Yuan , Xiaoji Zhou , Xiaopeng Li

$\gamma$-triclinic and $\alpha$-monoclinic polymorphs of CoV$_{2}$O$_{6}$ are two of the few known transition metal ion based materials that display stepped $1/3$ magnetization plateaus at low temperatures. Neutron diffraction [M. Markkula…

Strongly Correlated Electrons · Physics 2015-12-23 F. Wallington , A. M. Arevalo-Lopez , J. W. Taylor , J. R. Stewart , V. Garcia-Sakai , J. P. Attfield , C. Stock

On a lattice composed of triangular plaquettes where antiferromagnetic exchange interactions between localized spins cannot be simultaneously satisfied, the system becomes geometrically frustrated with magnetically disordered phases…

By means of exact diagonalization we study the ground-state and the low-temperature physics of the Heisenberg antiferromagnet on the cuboctahedron and the icosidodecahedron. Both are frustrated magnetic polytopes and correspond to the…

Strongly Correlated Electrons · Physics 2009-11-11 R. Schmidt , J. Richter , J. Schnack

We present a unique study of the frustrated spinel MgV2O4 which possesses highly coupled spin, lattice and orbital degrees of freedom. Using large single-crystal and powder samples, we find a distortion from spinel at room temperature…

Strongly Correlated Electrons · Physics 2010-10-14 Elisa M. Wheeler , Bella Lake , A. T. M. Nazmul Islam , Manfred Reehuis , Paul Steffens , Tatiana Guidi , Adrian H. Hill

The frustration phenomenon in an exactly solvable spin-electron planar model constituted by identical bipyramidal plaquettes is discussed within the Toulouse's and dos Santos and Lyra's frustration concepts. It is shown that the ground…

Statistical Mechanics · Physics 2021-09-30 Lucia Gálisová

The electronic properties of two spinels Fe$_3$O$_4$ and Fe$_2$SiO$_4$ are studied by the density functional theory. The local Coulomb repulsion $U$ and the Hund's exchange $J$ between the $3d$ electrons on iron are included. For $U=0$,…

Strongly Correlated Electrons · Physics 2010-07-15 P. Piekarz , A. M. Oleś , K. Parlinski

UNi4B exhibits unusual properties and, in particular, a unique antiferromagnetic arrangement involving only 2/3 of the U sites. Based on the low temperature behavior of this compound, we propose that the remaining 1/3 U sites are…

Strongly Correlated Electrons · Physics 2009-10-31 Claudine Lacroix , Benjamin Canals , M. D. Nunez-Regueiro

Sr2IrO4 exhibits a novel insulating state driven by spin-orbit interactions. We report two novel phenomena, namely a large magnetoresistivity in Sr2IrO4 that is extremely sensitive to the orientation of magnetic field but exhibits no…

Strongly Correlated Electrons · Physics 2015-05-28 M. Ge , T. F. Qi , O. B. Korneta , D. E. De Long , P. Schlottmann , W. P. Crummett , G. Cao

We study in this paper the resistivity encountered by Ising itinerant spins traveling in the so-called $J_1-J_2$ frustrated simple cubic Ising lattice. For the lattice, we take into account the interactions between nearest-neighbors and…

Statistical Mechanics · Physics 2015-05-20 Danh-Tai Hoang , Yann Magnin , Hung The Diep

In quantum lattice systems with geometric frustration, particles cannot move coherently due to destructive interference between tunnelling processes. Here we show that purely local, Markovian dissipation can induce mobility and long-range…

Quantum Physics · Physics 2017-07-12 E. T. Owen , O. T. Brown , M. J. Hartmann

Motifs of periodic modulations are encountered in a variety of natural systems, where at least two rival states are present. In strongly correlated electron systems such behaviour has typically been associated with competition between…

Strongly Correlated Electrons · Physics 2015-09-02 M. Pregelj , A. Zorko , O. Zaharko , H. Nojiri , H. Berger , L. C. Chapon , D. Arčon

We have characterized the magnetic and structural properties of the CdLn2Se4 (Ln = Dy, Ho), and CdLn2S4 (Ln = Ho, Er, Tm, Yb) spinels. We observe all compounds to be normal spinels, possessing a geometrically frustrated sublattice of…

Strongly Correlated Electrons · Physics 2009-11-11 G. C. Lau , R. S. Freitas , B. G. Ueland , P. Schiffer , R. J. Cava

A novel general method of describing the spin-lattice interactions in magnetic solids was proposed in terms of first principles calculations. The spin exchange and Dzyaloshinskii-Moriya interactions as well as their derivatives with respect…

Strongly Correlated Electrons · Physics 2011-12-30 H. J. Xiang , E. J. Kan , Su-Huai Wei , M. -H. Whangbo , X. G. Gong

We theoretically study a spin-spin correlation enhanced by non-magnetic impurities in a frustrated two-leg spin ladder. The frustration is introduced by the next-nearest-neighbor antiferromagnetic interaction in the leg direction in the…

Strongly Correlated Electrons · Physics 2014-06-20 Takanori Sugimoto , Michiyasu Mori , Takami Tohyama , Sadamichi Maekawa

Magnetic fluctuations induced by geometric frustration of local Ir-spins disturb the formation of long range magnetic order in the family of pyrochlore iridates, R$_{2}$Ir$_{2}$O$_{7}$ (R = lanthanide)$^{1}$. As a consequence,…