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What is the zero-temperature ordering pattern of a Heisenberg antiferromagnet with large spin length $S$ (and possibly small dilution), on the kagome lattice, or others built from corner-sharing triangles and tetrahedra? First, I summarize…

Condensed Matter · Physics 2009-10-31 Christopher L. Henley

An investigation of the N\'eel Long Range Order (NLRO) in the ground state of antiferromagnetic Heisenberg spin system on the two-dimensional, uniform, bipartite lattice consisting of squares, hexagons and dodecagons is presented. Basing on…

Statistical Mechanics · Physics 2009-11-07 P. Tomczak , J. Schulenburg , J. Richter , A. R. Ferchmin

Recent investigations of the two-dimensional spin-1/2 checkerboard lattice favor a valence bond crystal with long range quadrumer order [J.-B. Fouet et al., preprint cond-mat/0108070]. Starting from the limit of isolated quadrumers, we…

Strongly Correlated Electrons · Physics 2016-08-31 Wolfram Brenig , Andreas Honecker

Magnetic phase diagram of a spatially anisotropic, frustrated spin-1/2 Heisenberg antiferromagnet on a stacked square lattice is investigated using second-order spin-wave expansion. The effects of interlayer coupling and the spatial…

Strongly Correlated Electrons · Physics 2011-01-10 Kingshuk Majumdar

An argument is made on the existence of a low-temperature itinerant antiferromagnetic (AF) spin alignment, rather than persistent helical (PH), in the ground state of a two dimensional electron gas in a semiconductor quantum well with…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 D. C. Marinescu

The spin-1/2 Heisenberg antiferromagnet on the frustrated diamond-decorated square lattice is known to feature various zero-field ground-state phases, consisting of extended monomer-dimer and dimer-tetramer ground states as well as a…

Strongly Correlated Electrons · Physics 2023-03-27 Nils Caci , Katarina Karlova , Taras Verkholyak , Jozef Strecka , Stefan Wessel , Andreas Honecker

We study the quantum phase transition of an $S=1/2$ anisotropic $\alpha$ $(\equiv J_z/J_{xy})$ Heisenberg antiferromagnet on a triangular lattice. We calculate the sublattice magnetization and the long-range helical order-parameter and…

Strongly Correlated Electrons · Physics 2014-11-18 Nobuo Suzuki , Fumitaka Matsubara , Sumiyoshi Fujiki , Takayuki Shirakura

We study the competition between $\sqrt{3} \times \sqrt{3}$ (RT3) and $q=0$ (Q0) magnetic orders in spin-one and spin-$3/2$ Kagome-lattice XXZ antiferromagnets with varying XY anisotropy parameter $\Delta$, using series expansion methods.…

Strongly Correlated Electrons · Physics 2016-07-01 Jaan Oitmaa , Rajiv R. P. Singh

We investigate the ground state of the spin $S=1/2$ Heisenberg anti-ferromagnet on the Shuriken lattice, also in the presence of an external magnetic field. To this end, we employ two-dimensional tensor network techniques based on infinite…

Strongly Correlated Electrons · Physics 2023-02-08 Philipp Schmoll , Augustine Kshetrimayum , Jan Naumann , Jens Eisert , Yasir Iqbal

Energy bands in antiferromagnets are generally spin degenerate in the absence of spin-orbit coupling (SOC). Recent studies [Physical Review B 102, 014422 (2020)] identified formal symmetry conditions for crystals for which this degeneracy…

Materials Science · Physics 2022-11-16 Lin-Ding Yuan , Alex Zunger

We study ground state degeneracy and spin-wave excitations in a 1D version of a Kagome antiferromagnet -- a Heisenberg antiferromagnet on a Kagome stripe. We show that for nearest-neighbor interaction, the classical ground state is…

Strongly Correlated Electrons · Physics 2009-11-13 A. Donkov , A. V. Chubukov

We examine the stability of classical states with a generic incommensurate spiral order against quantum fluctuations. Specifically, we focus on the frustrated spin-1/2 $XY$ and Heisenberg models on the honeycomb lattice with…

Strongly Correlated Electrons · Physics 2014-04-01 Andrea Di Ciolo , Juan Carrasquilla , Federico Becca , Marcos Rigol , Victor Galitski

A recent article [Phys. Rev. X 15, 011047 (2025)] utilizes group-equivariant convolutional neural networks to study the ground state of the kagome Heisenberg antiferromagnet. On the largest finite-size cluster studied to date ($N=108$), the…

Strongly Correlated Electrons · Physics 2026-05-29 Helia Kamal , Dominik Kufel , DinhDuy Vu , Chris R. Laumann , Norman Y. Yao

A unique type of frustrated lattice is found in two A-site ordered spinel oxides, LiGaCr4O8 and LiInCr4O8. Because of the large size mismatch between Li+ and Ga3+/In3+ ions at the A site, the pyrochlore lattice, made up of Cr3+ ions…

Materials Science · Physics 2015-06-12 Yoshihiko Okamoto , Gøran J. Nilsen , J. Paul Attfield , Zenji Hiroi

We use the coupled cluster method (CCM) to study the ground-state properties and lowest-lying triplet excited state of the spin-half {\it XXZ} antiferromagnet on the square lattice. The CCM is applied to it to high orders of approximation…

We use the rotation-invariant Green's function method (RGM) and the high-temperature expansion (HTE) to study the thermodynamic properties of the spin-$S$ Heisenberg ferromagnet on the pyrochlore lattice. We examine the excitation spectra…

Strongly Correlated Electrons · Physics 2017-11-22 Patrick Müller , Andre Lohmann , Johannes Richter , Oleg Menchyshyn , Oleg Derzhko

In Volborthite, spin-1/2 moments form a distorted Kagom\'e lattice, of corner sharing isosceles triangles with exchange constants $J$ on two bonds and $J'$ on the third bond. We study the properties of such spin systems, and show that…

Strongly Correlated Electrons · Physics 2007-09-29 Fa Wang , Ashvin Vishwanath , Yong Baek Kim

Quantum Heisenberg antiferromagnets on pyrochlore and checkerboard lattices in a strong external magnetic field are mapped onto hard-core lattice gases with an extended exclusion region. The effective models are studied by the exchange…

Strongly Correlated Electrons · Physics 2011-11-09 M. E. Zhitomirsky , H. Tsunetsugu

We consider the effects of local impurities in highly frustrated diamond lattice antiferromagnets, which exhibit large but non-extensive ground state degeneracies. Such models are appropriate to many A-site magnetic spinels. We argue very…

Strongly Correlated Electrons · Physics 2011-08-30 Lucile Savary , Emanuel Gull , Simon Trebst , Jason Alicea , Doron Bergman , Leon Balents

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