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Groundstate magnetism of the one-band Hubbard model on the frustrated square lattice where both nearest-neighbour $t_1$ and next-nearest-neighbour $t_2$ hoppings are considered at half-filling are revisited within mean field approximation.…

Strongly Correlated Electrons · Physics 2021-07-06 Ze Ruan , Xiu-Cai Jiang , Ze-Yi Song , Yu-Zhong Zhang

We study Ising antiferromagnets that have nearest-neighbour interactions on multilayer triangular lattices with frustrated ($abc$ and $abab$) stacking, and make comparisons with the unfrustrated ($aaa$) stacking. If interlayer couplings are…

Statistical Mechanics · Physics 2016-12-14 D. T. Liu , F. J. Burnell , L. D. C. Jaubert , J. T. Chalker

Octahedral antiferromagnets are distinguished by crystal lattices composed of octahedra of magnetic ions. In the fully frustrated case, the Heisenberg Hamiltonian can be represented as a sum of squares of total spins for each octahedral…

Strongly Correlated Electrons · Physics 2025-06-03 A. S. Gubina , T. Ziman , M. E. Zhitomirsky

The long fascination antiferromagnetic materials have exerted on the scientific community over about a century has been entirely renewed recently with the discovery of several unexpected phenomena including various classes of anomalous spin…

Mesoscale and Nanoscale Physics · Physics 2021-11-17 V. Bonbien , Fengjun Zhuo , A. Salimath , O. Ly , A. Abbout , A. Manchon

Using a lattice-gas description of the low-energy degrees of freedom of the quantum Heisenberg antiferromagnet on the frustrated two-leg ladder and bilayer lattices we examine the magnetization process at low temperatures for these spin…

Strongly Correlated Electrons · Physics 2011-12-30 Oleg Derzhko , Taras Krokhmalskii , Johannes Richter

We study multilayer triangular lattice Ising antiferromagnets with interlayer interactions that are weak and frustrated in an abc stacking. By analysing a coupled height model description of these systems, we show that they exhibit a…

Statistical Mechanics · Physics 2016-01-05 F. J. Burnell , J. T. Chalker

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

Quantum simulators based on cold atomic gases can provide an ideal platform to study the microscopic mechanisms behind intriguing properties of solid materials and further explore novel exotic phenomena inaccessible by chemical synthesis.…

Topological spin structures such as magnetic skyrmions are of fundamental interest and promising for various types of applications in spintronics. Skyrmions have been predicted to emerge also in antiferromagnetic materials where they…

Some results about phase separation in coupled map lattices satisfying a conservation law are presented. It is shown that this constraint is the origin of interesting antiferromagnetic effective couplings and allows transitions to…

Disordered Systems and Neural Networks · Physics 2016-08-31 Leonardo Angelini

Based on exact diagonalization data for finite quantum Heisenberg antiferromagnets on two frustrated lattices (two-leg ladder and bilayer) and analytical arguments we map low-energy degrees of freedom of the spin models in a magnetic field…

Strongly Correlated Electrons · Physics 2010-12-22 Oleg Derzhko , Taras Krokhmalskii , Johannes Richter

Classical spin liquids are frustrated magnetic phases characterized by local constraints, flat bands in reciprocal space, and emergent gauge structures with distinctive signatures such as pinch points. These arise generally in \emph{cluster…

Strongly Correlated Electrons · Physics 2026-03-17 Naïmo Davier

We investigate low-temperature spin correlations in the metallic frustrated magnet \beta-MnCo. Single-crystal polarised-neutron scattering experiments reveal the persistence of highly-structured magnetic diffuse scattering and the absence…

We investigate ground states of $s$=1/2 Heisenberg antiferromagnets on the eleven two-dimensional (2D) Archimedian lattices by using the coupled cluster method. Magnetic interactions and quantum fluctuations play against each other subtly…

Strongly Correlated Electrons · Physics 2014-05-21 D. J. J. Farnell , O. Goetze , J. Richter , R. F. Bishop , P. H. Y. Li

Frustrated systems, typically characterized by competing interactions that cannot all be simultaneously satisfied, display rich behaviours not found elsewhere in nature. Artificial spin ice takes a materials-by-design approach to studying…

Mesoscale and Nanoscale Physics · Physics 2017-01-23 Jasper Drisko , Thomas Marsh , John Cumings

We present a unified framework to systematically embed complex knotted and linked structures, beyond the torus family, into diverse topological phases, including Hopf insulators, classical spin liquids, topological semimetals, and…

Strongly Correlated Electrons · Physics 2025-03-27 Snigdh Sabharwal

It is shown that nearest-neighbor antiferromagnetic interactions of identical Ising spins on imbalanced bipartite lattice and imbalanced bipartite hierarchical fractal result in ferrimagnetic order instead of antiferromagnetic one. On some…

Disordered Systems and Neural Networks · Physics 2015-06-12 P. N. Timonin

This paper discusses the ground state of quantum spins interacting via Heisenberg antiferromagnetic exchange, in two dimensional lattices having several different local environments. In unfrustrated lattices, when a N\'eel type order…

Strongly Correlated Electrons · Physics 2015-05-19 A. Jagannathan

We consider some classical and frustrated lattice spin models with global O(3) spin symmetry. There is no general analytical method to find a ground-state if the spin dependence of the Hamiltonian is more than quadratic (i.e. beyond the…

Strongly Correlated Electrons · Physics 2015-03-17 Laura Messio , Claire Lhuillier , Grégoire Misguich

Twisting layers provide a rich ore for exotic physics in low dimensions. Despite the abundant discoveries of twistronics from the aspect of electronic structures, ferroic moir\'e textures are more plain and thus less concerned. Rigid…

Materials Science · Physics 2025-08-06 Haoshen Ye , Shuai Dong
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