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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

Artificial spin ices are arrays of coupled nanomagnets, which exhibit a variety of fascinating collective behaviour including emergent magnetic monopoles, charge screening, and novel phase transitions. However, they have mainly been…

Mesoscale and Nanoscale Physics · Physics 2024-07-09 Gavin M. Macauley , Luca Berchialla , Peter M. Derlet , Laura J. Heyderman

The kagome lattice is a paragon of geometrical frustration, long-studied for its association with novel ground-states including spin liquids (SLs). Many recently synthesized kagome materials feature rare-earth ions, which may be expected to…

Strongly Correlated Electrons · Physics 2017-11-22 Karim Essafi , Owen Benton , L. D. C. Jaubert

Magnetic behaviour of a mixed spin-1/2 and spin-1 Ising model on the diced lattice is studied by the use of an exact star-triangle mapping transformation. It is found that the uniaxial as well as biaxial single-ion anisotropy acting on the…

Statistical Mechanics · Physics 2011-07-28 Michal Jascur , Jozef Strecka

Mutual interactions in many-body systems bring about a variety of exotic phases, among which liquid-like states failing to order due to frustration are of keen interest. Recently, an organic system with an anisotropic triangular lattice of…

Artificial spin ices are engineered arrays of dipolarly coupled nanobar magnets. They enable direct investigations of fascinating collective phenomena from their diverse microstates. However, experimental access to ground states in the…

Frustrated spin-ice systems support emergent gauge fields and fractionalized quasiparticles that act as magnetic monopoles. Although artificial platforms have enabled their direct visualization, access to their quantum-coherent dynamics has…

Strongly Correlated Electrons · Physics 2026-05-20 Krzysztof Giergiel , Piotr Surówka

We numerically study quantum chaos properties of long-range XXZ dipolar Hamiltonian spin systems. Two geometries are considered: (i) an open chain with 19 spins, (ii) a face-centered cubic lattice with 14 spins. Energy level-spacing…

Quantum Physics · Physics 2017-11-07 Dhrubo Jyoti

Artificial spin systems, sometimes referred to as artificial spin ices, are arrays of coupled nanoscale magnets that order according to the lattice geometry, nanomagnet shape and magnetic anisotropy. Here we characterize a family of…

We study the {\it ferromagnetic} (FM) Kondo lattice model in the strong coupling limit (double exchange (DE) model). The DE mechanism proposed by Zener to explain ferromagnetism has unexpected properties when there is more than one…

Condensed Matter · Physics 2009-10-28 Jun Zang , H. Röder , A. R. Bishop , S. A. Trugman

Strong electronic interactions can drive a system into a state with a symmetry breaking. Lattice frustration or competing interactions tend to prevent a symmetry breaking, leading to quantum disordered phases. In spin systems frustration…

We investigate the spin-stripe mechanism responsible for the peculiar nanometer modulation of the incommensurate magnetic order that emerges between the vector-chiral and the spin-density-wave phase in the frustrated zigzag spin-1/2 chain…

Strongly Correlated Electrons · Physics 2016-08-31 M. Pregelj , O. Zaharko , M. Herak , M. Gomilsek , A. Zorko , L. C. Chapon , F. Bourdarot , H. Berger , D. Arčon

We theoretically study the randomly positioned two-dimensional system of interacting magnetic dipoles representing the monolayer arrays of single-domain particles. It is showed the onset of the dipolar in-plane superferromagnetic ordering…

Mesoscale and Nanoscale Physics · Physics 2012-02-06 Andrey V. Panov

Disorder in materials may be used to tune their functionalities, but much more strikingly, its presence can entail entirely new behavior. This happens in charge-ice where structural disorder is not weak and local, but strong and long-range…

Statistical Mechanics · Physics 2023-11-10 A. Hemmatzade , K. Essafi , M. Taillefumier , M. Müller , T. Fennell , P. M. Derlet

The low-dimensional s=1/2 compound (NO)[Cu(NO3)3] has recently been suggested to follow the Nersesyan-Tsvelik model of coupled spin chains. Such a system shows unbound spinon excitations and a resonating valence bond ground state due spin…

Strongly Correlated Electrons · Physics 2022-06-08 V. Gnezdilov , P. Lemmens , Yu. G. Pashkevich , D. Wulferding , I. V. Morozov , O. S. Volkova , A. Vasiliev

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

In this letter, we have constructed and experimentally investigated frustrated arrays of dipoles forming two-dimensional artificial spin ices with different lattice parameters (rectangular arrays with horizontal and vertical lattice…

Dynamical effects under geometrical frustration are considered in a model for artificial spin ice on a square lattice in two dimensions. Each island of the spin ice has a three-component Heisenberg-like dipole moment subject to shape…

Mesoscale and Nanoscale Physics · Physics 2013-05-08 G. M. Wysin , W. A. Moura-Melo , L. A. S. Mól , A. R. Pereira

In this paper we present a study of magnetic order of quantum Heisenberg spins on pyrochlore type lattices: a lattice of corner sharing tetrahedra. We use the Cluster Variation Approximation with the tetrahedron as basic cluster. We find…

Strongly Correlated Electrons · Physics 2007-05-23 Wiebe Geertsma

In classical and quantum frustrated magnets the interactions in combination with the lattice structure impede the spins to order in optimal configurations at zero temperature. The theoretical interest in their classical realisations has…

Statistical Mechanics · Physics 2017-02-01 Leticia F. Cugliandolo