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We investigate the dynamical properties of the classical antiferromagnetic Heisenberg model on the kagome lattice using a combination of Monte Carlo and molecular dynamics simulations. We find that frustration induces a distribution of…

Strongly Correlated Electrons · Physics 2015-06-19 Mathieu Taillefumier , Julien Robert , Christopher L. Henley , Roderich Moessner , Benjamin Canals

We study the low temperature dynamics of the classical Heisenberg antiferromagnet with nearest neighbour interactions on the pyrochlore lattice. We present extensive results for the wavevector and frequency dependence of the dynamical…

Strongly Correlated Electrons · Physics 2009-06-16 P. H. Conlon , J. T. Chalker

We theoretically study low-temperature properties of the antiferromagnetic Heisenberg model with half-integer spin $S$ on the Kagome lattice with large trimerization. We have derived a low-energy effective model for general $S$ in terms of…

Strongly Correlated Electrons · Physics 2021-06-09 Ichiro Tanaka , Hirokazu Tsunetsugu

We study the low temperature static and dynamical properties of the classical bond-disordered antiferromagnetic Heisenberg model on the kagome lattice. This model has recently been shown to host a new type of spin liquid exhibiting an…

Strongly Correlated Electrons · Physics 2019-02-20 Thomas Bilitewski , Mike E. Zhitomirsky , Roderich Moessner

We determine dynamical response functions of the S=1/2 Heisenberg quantum antiferromagnet on the kagome lattice based on large-scale exact diagonalizations combined with a continued fraction technique. The dynamical spin structure factor…

Strongly Correlated Electrons · Physics 2009-01-09 Andreas Laeuchli , Claire Lhuillier

Violation of the fluctuation-dissipation theorem (FDT) in a frustrated Heisenberg model on the Kagome lattice is investigated using Monte Carlo simulations. The model exhibits glassy behaviour at low temperatures accompanied by very slow…

Statistical Mechanics · Physics 2009-11-10 S. Bekhechi , B. W. Southern

Motivated by experiments on the archetypal frustrated magnet SrCr$_{9p}$Ga$_{12-9p}$O$_{19}$ (SCGO), we study the classical Heisenberg model on the pyrochlore slab (Kagom\'e bilayer) lattice with site-dilution $x=1-p$. This allows us to…

Strongly Correlated Electrons · Physics 2015-06-04 Arnab Sen , Kedar Damle , R. Moessner

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

Temperature-dependent dynamical spin correlations, which can be readily accessed via a variety of experimental techniques, hold the potential of offering a unique fingerprint of quantum spin liquids and other intriguing dynamical states. In…

Strongly Correlated Electrons · Physics 2021-01-21 P. Prelovšek , M. Gomilšek , T. Arh , A. Zorko

Quantum spin liquids exhibit fractionalized spin excitations as a consequence of strong quantum many-body effects. The kagome antiferromagnetic Heisenberg model is a promising candidate for a quantum spin-liquid ground state; however, the…

Strongly Correlated Electrons · Physics 2026-03-24 Daiki Sasamoto , Joji Nasu

Condensed matter exhibits a wide variety of exotic emergent phenomena such as the fractional quantum Hall effect and the low temperature cooperative behavior of highly frustrated magnets. I consider the classical Hamiltonian dynamics of…

Strongly Correlated Electrons · Physics 2015-05-27 Michael J. Lawler

The spin dynamics of the semiclassical Heisenberg model with uniaxial anisotropy, on the layered triangular lattice with antiferromagnetic coupling for both intralayer nearest neighbor interaction and interlayer interaction is studied both…

Strongly Correlated Electrons · Physics 2007-05-23 Ranjan Chaudhury

Using quantum Monte Carlo simulations along with higher-order spin-wave theory, bond-operator and strong-coupling expansions, we analyse the dynamical spin structure factor of the spin-half Heisenberg model on the square-lattice bilayer. We…

Strongly Correlated Electrons · Physics 2016-01-06 M. Lohöfer , T. Coletta , D. G. Joshi , F. F. Assaad , M. Vojta , S. Wessel , F. Mila

The weathervane modes of the classical Heisenberg antiferromagnet on the kagome lattice constitute possibly the earliest and certainly the most celebrated example of a flat band of zero-energy excitations. Such modes arise from the…

Statistical Mechanics · Physics 2017-10-18 Mykola Maksymenko , Roderich Moessner , Kirill Shtengel

We introduce a lattice model for a classical doped two dimensional antiferromagnet which has no quenched disorder, yet displays slow dynamics similar to those observed in supercooled liquids. We calculate two-time spatial and spin…

Disordered Systems and Neural Networks · Physics 2009-11-10 Malcolm P. Kennett , Claudio Chamon , Leticia F. Cugliandolo

We study an antiferromagnetic spin-1/2 model with up to third nearest-neighbor couplings on the Kagome lattice in the easy-axis limit, and show that its low-energy dynamics are governed by a four site XY ring exchange Hamiltonian. Simple…

Strongly Correlated Electrons · Physics 2009-11-07 L. Balents , M. P. A. Fisher , S. M. Girvin

The antiferromagnetic Heisenberg model with easy-axis exchange anisotropy on the Kagome lattice is studied by means of Monte Carlo simulations. From equilibrium properties, we find that the values of the critical exponents associated with…

Statistical Mechanics · Physics 2009-11-07 S. Bekhechi , B. W. Southern

By means of quantum Monte Carlo simulations, combined with a stochastic analytic continuation, we examine the spin dynamics of the spin-1/2 planar (XY) ferromagnet on the kagome lattice with additional four-site ring exchange terms. Such…

Strongly Correlated Electrons · Physics 2019-12-25 Jonas Becker , Stefan Wessel

Motivated by recent developments in magnetic materials, frustrated nanoarrays and cold atomic systems, we investigate the behaviour of dipolar spins on the frustrated two-dimensional kagome lattice. By combining the Luttinger-Tisza…

Strongly Correlated Electrons · Physics 2015-05-18 Mykola Maksymenko , V. Ravi Chandra , Roderich Moessner

We study dynamical spin structure factor (DSSF) of S = 1/2 Heisenberg model on the kagome lattice (KAFM) by means of density-matrix renormalization group. By comparison with the well-defined magnetic ordered state and chiral spin liquid…

Strongly Correlated Electrons · Physics 2019-05-22 W. Zhu , Shou-Shu Gong , D. N. Sheng
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