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Related papers: Non-Coplanar Magnetic Orders in Classical Square-K…

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Exchange interaction tends to favor collinear or coplanar magnetic orders in rotationally invariant spin systems. Indeed, such magnetic structures are usually selected by thermal or quantum fluctuations in highly frustrated magnets. Here we…

Strongly Correlated Electrons · Physics 2010-11-25 Gia-Wei Chern

We study the ground state of a spin-half Heisenberg antiferromagnet on the stacked kagome lattice by using a spin-rotation-invariant Green's-function method. Since the pure two-dimensional kagome antiferromagnet is most likely a…

Strongly Correlated Electrons · Physics 2009-11-10 D. Schmalfuss , J. Richter , D. Ihle

Motivated by the search for unconventional orders in frustrated quantum magnets, we present a multi-method investigation into the nature of the quantum phase diagram of the spin-$1/2$ Heisenberg model on the maple-leaf lattice with three…

Strongly Correlated Electrons · Physics 2026-02-26 Lasse Gresista , Dominik Kiese , Simon Trebst , Yasir Iqbal

Magnetization plateaus in quantum spin systems emerges in two-dimensional frustrated systems such as kagome lattice. The spin-1/2 antiferromagnetic Heisenberg model on square-kagome lattice is also appropriate for the study of magnetization…

Strongly Correlated Electrons · Physics 2018-03-16 Katsuhiro Morita , Takami Tohyama

The coupled cluster method is applied to a spin-half model at zero temperature ($T=0$), which interpolates between Heisenberg antiferromagnets (HAF's) on a kagome and a square lattice. With respect to an underlying triangular lattice the…

Strongly Correlated Electrons · Physics 2015-03-17 R. F. Bishop , P. H. Y. Li , D. J. J. Farnell , C. E. Campbell

We study quantum antiferromagnets on two-dimensional bipartite lattices. We focus on local variations in the properties of the ordered phase which arise due to the presence of inequivalent sites or bonds in the lattice structure, using…

Strongly Correlated Electrons · Physics 2009-11-11 A. Jagannathan , R. Moessner , S. Wessel

Ordered states for a classical Heisenberg model on fcc lattice structure with ABC stacked kagome planes of magnetic ions are investigated by numerically solving the Landau-Lifshitz (LL) equation. Both the nearest-neighbor exchange…

Statistical Mechanics · Physics 2024-07-31 Terufumi Yokota

We investigate the effect of geometrical frustration on the $H$--$T$ phase diagrams of the classical Heisenberg antiferromagnets on triangular and kagome lattices. The phase diagrams for the two models are obtained from large scale Monte…

Strongly Correlated Electrons · Physics 2011-04-08 M. V. Gvozdikova , P. -E. Melchy , M. E. Zhitomirsky

In the corner-sharing lattice, magnetic frustration causes macroscopic degeneracy in the ground state, which prevents systems from ordering. However, if the ensemble of the degenerate configuration has some global structure, the system can…

Statistical Mechanics · Physics 2007-09-25 Shu Tanaka , Seiji Miyashita

Quantum antiferromagnets based on the square-kagome lattice are proving to be a fertile platform for realizing nontrivial phenomena in frustrated magnetism. Recently, several decorated square-kagome compounds of the nabokoite family have…

Strongly Correlated Electrons · Physics 2025-05-19 Matías G. Gonzalez , Yasir Iqbal , Johannes Reuther , Harald O. Jeschke

We have studied the Heisenberg antiferromagnets on two-dimensional frustrated lattices, triangular and kagome lattices using linear spin-wave theory. A collinear ground state ordering is possible if one of the three bonds in each triangular…

Strongly Correlated Electrons · Physics 2009-11-11 Uma Bhaumik , A. Taraphder

Quantum Monte Carlo simulations are used to study the magnetic and transport properties of the Hubbard Model, and its strong coupling Heisenberg limit, on a one-third depleted square lattice. This is the geometry occupied, after charge…

Strongly Correlated Electrons · Physics 2017-01-25 H. -M. Guo , T. Mendes-Santos , W. E. Pickett , R. T. Scalettar

$\require{mhchem}$The square-kagome lattice Heisenberg antiferromagnet is a highly frustrated Hamiltonian whose material realizations have been scarce. We theoretically investigate the recently synthesized $\ce{Na6Cu7BiO4(PO4)4Cl3}$ where a…

Kagome metals have established a new arena for correlated electron physics. To date, the predominant experimental evidence centers around unconventional charge order, nematicity, and superconductivity, while magnetic fluctuations due to…

We study noncoplanar magnetic ordering in frustrated itinerant magnets. For a family of Kondo square lattice models with classical local moments, we find that a double-$Q$ noncoplanar vortex crystal has lower energy than the single-$Q$…

Strongly Correlated Electrons · Physics 2016-09-26 Ryo Ozawa , Satoru Hayami , Kipton Barros , Gia-Wei Chern , Yukitoshi Motome , Cristian D. Batista

The kagome lattice sits at the crossroad of present research efforts in quantum spin liquids, chiral phases, emergent skyrmion excitations and anomalous Hall effects to name but a few. In light of this diversity, our goal in this paper is…

Strongly Correlated Electrons · Physics 2016-02-17 K. Essafi , Owen Benton , Ludovic D. C. Jaubert

A group symmetry analysis of the low lying levels of the spin-1/2 kagom\'e Heisenberg antiferromagnet is performed for small samples up to N=27. This approach allows to follow the effect of quantum fluctuations when the sample size…

Strongly Correlated Electrons · Physics 2009-10-30 P. Lecheminant , B. Bernu , C. Lhuillier , L. Pierre , P. Sindzingre

Coupling between spin and lattice degrees of freedom are important in geometrically frustrated magnets where they can lead to degeneracy lifting and novel orders. We show that moderate spin-lattice couplings in triangular and Kagome…

Strongly Correlated Electrons · Physics 2008-02-20 Fa Wang , Ashvin Vishwanath

We consider the spin-1/2 antiferromagnetic Heisenberg model on the two-dimensional square-kagome lattice with almost dispersionless lowest magnon band. For a general exchange coupling geometry we elaborate low-energy effective Hamiltonians…

Strongly Correlated Electrons · Physics 2014-09-08 Oleg Derzhko , Johannes Richter , Olesia Krupnitska , Taras Krokhmalskii

Ordering of the geometrically frustrated two-dimensional Heisenberg antiferromagnet on a pyrochlore slab is studied by Monte Carlo simulations. The model is expected to serve as a reference system of SrCrGaO compound studied extensively. In…

Statistical Mechanics · Physics 2015-06-24 Takuya Arimori , Hikaru Kawamura