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The ground state of the antiferromagnetic XY model with a kagome lattice is characterized by a well developed accidental degeneracy. As a consequence the phase transition in this system consists in unbinding of pairs of fractional vortices.…

Statistical Mechanics · Physics 2016-08-31 S. E. Korshunov

We examine the thermal properties of the spin-1 Heisenberg antiferromagnet on the honeycomb lattice in the presence of an easy-plane single-ion anisotropy as well as the effects of an additional weak in-plane easy-axis anisotropy. In…

Strongly Correlated Electrons · Physics 2022-03-17 Nils Caci , Lukas Weber , Stefan Wessel

We study the $S = 1$ triangular lattice Ising antiferromagnet by Monte Carlo simulations. Frustrations between a major antiferromagnetic third-neighbor interaction $J_3$ and a minor ferromagnetic nearest-neighbor interaction $J_1$ cause…

Statistical Mechanics · Physics 2014-07-31 Yusuke Tomita , Milan Žukovič

The nature of the thermal melting process by which triangular-lattice Ising antiferromagnets lose their low-temperature ferrimagnetic three-sublattice order depends on the range of the interactions: It changes character when second and…

Statistical Mechanics · Physics 2021-09-08 G. Rakala , N. Desai , S. Shivam , K. Damle

The spin half Heisenberg antiferromagnet on the Kagome lattice, is mapped by Contractor Renormalization to a Spin-Pseudospin Hamiltonian on the triangular superlattice. Variationally, we find a ground state with columnar dimer order. Dimer…

Strongly Correlated Electrons · Physics 2007-05-23 Ran Budnik , Assa Auerbach

Spin ice, a peculiar thermal state of a frustrated ferromagnet on the pyrochlore lattice, has a finite entropy density and excitations carrying magnetic charge. By combining analytical arguments and Monte Carlo simulations, we show that…

Strongly Correlated Electrons · Physics 2011-05-24 Gia-Wei Chern , Paula Mellado , O. Tchernyshyov

We study phase transitions and thermodynamic properties in the two-dimensional antiferromagnetic Ising model with next-nearest-neighbor interaction on a Kagome lattice by Monte Carlo simulations. A histogram data analysis shows that a…

Statistical Mechanics · Physics 2018-10-02 Magomed A. Magomedov , Magomedsheikh K. Ramazanov , Akay K. Murtazaev

We study the effect of crystal field anisotropy in the underscreened $S=1$ Kondo lattice model. Starting from the two orbital Anderson lattice model and including a local anisotropy term, we show, through Schrieffer-Wolff transformation,…

Strongly Correlated Electrons · Physics 2015-06-19 Christopher Thomas , Acirete S. da Rosa Simões , Claudine Lacroix , José Roberto Iglesias , Bernard Coqblin

The thermal order by disorder effect in magnetic field is studied for a classical Heisenberg antiferromagnet on the kagome lattice. Using analytical arguments we predict a unique H-T phase diagram for this strongly frustrated magnet: states…

Strongly Correlated Electrons · Physics 2007-05-23 M. E. Zhitomirsky

Kagome metals are important for exploring emergent phenomena due to the interplay between band topology and electron correlation.Motivated by the recent discovery of charge density wave in a kagome lattice antiferromagnetic FeGe,we…

The magnetic phase diagram at zero external field of an ensemble of dipoles with uniaxial anisotropy on a FCC lattice has been investigated from tempered Monte Carlo simulations. The uniaxial anisotropy is characterized by a random…

Materials Science · Physics 2021-11-16 Vincent Russier , Juan-Jose Alonso

We report the results of low-temperature magnetization and specific heat measurements of Sr$_3$CoTa$_2$O$_9$ powder, in which Co$^{2+}$ ions with effective spin-1/2 form a uniform triangular lattice in the $ab$ plane. It was found that…

Strongly Correlated Electrons · Physics 2023-05-24 Iori Nishizawa , Nobuyuki Kurita , Hidekazu Tanaka , Takayuki Goto

Using a Monte Carlo method, we study the finite-temperature phase transition in the two-dimensional classical Heisenberg model on a triangular lattice with or without easy-plane anisotropy. The model takes account of competing interactions:…

Statistical Mechanics · Physics 2015-03-19 Ryo Tamura , Naoki Kawashima

We consider a S=1 kagom\'e Ising model with triquadratic interactions around each triangular face of the kagom\'e lattice, single-ion anisotropy and an applied magnetic field. A mapping establishes an equivalence between the magnetic…

Statistical Mechanics · Physics 2009-11-07 J. H. Barry , K. A. Muttalib

We study the spin-1/2 Heisenberg model in a lattice that interpolates between the triangular and the kagome lattices. The exchange interaction along the bonds of the kagome lattice is J, and the one along the bonds connecting kagome and…

Strongly Correlated Electrons · Physics 2009-11-10 Liliana Arrachea , Luca Capriotti , Sandro Sorella

We consider the $S=1/2$ antiferromagnetic Heisenberg model on a frustrated kagome-lattice bilayer with strong nearest-neighbor interlayer coupling and examine its low-temperature magnetothermodynamics using a mapping onto a rhombi gas on…

Strongly Correlated Electrons · Physics 2025-07-03 Dmytro Yaremchuk , Taras Hutak , Vasyl Baliha , Taras Krokhmalskii , Oleg Derzhko , Jürgen Schnack , Johannes Richter

We study the nature of a low-temperature phase in the frustrated honeycomb-lattice Ising model with first- and second-neighbor antiferromagnetic (AF) interactions, $J_1$ and $J_2$, respectively, for $R = J_2/J_1 > 1/4$. It is known that for…

Statistical Mechanics · Physics 2020-07-08 M. Žukovič , M. Borovský , A. Bobák , T. Balcerzak , K. Szałowski

A new type of magnetically frustrated lattice is found in the layered fluoride NaBa2Mn3F11. A kagome-type array of regular triangles composed of Mn2+ ions (spin 5/2) deforms so as to generate the next-nearest-neighbor interaction J2 between…

Materials Science · Physics 2014-03-11 Hajime Ishikawa , Tsuyoshi Okubo , Yoshihiko Okamoto , Zenji Hiroi

We have found weak long range antiferromagnetic order in the quasi-two-dimensional insulating oxide $ KCr_3(OD)_6(SO_4)_2$ which contains Cr$^{3+}$ S=3/2 ions on a kagom\'{e} lattice. In a sample with $\approx$ 76% occupancy of the chromium…

Strongly Correlated Electrons · Physics 2009-10-30 S. -H. Lee , C. Broholm , M. F. Collins , L. Heller , A. P. Ramirez , C. Kloc , E. Bucher , R. W. Erwin , N. Lacevic

The low-temperature fate of the spin-liquid regime in the classical kagome Heisenberg antiferromagnet has been debated for over three decades. Using an expansion in the number of spin components, we show that, contrary to earlier Monte…

Strongly Correlated Electrons · Physics 2026-05-27 Cecilie Glittum , Olav F. Syljuåsen