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Frustrated quantum magnets pose well-defined questions concerning quantum fluctuation effects and the nature of the many-body wavefunction, which challenge theory, numerics, experiment and materials synthesis. The S = 1/2 triangular-lattice…

Strongly Correlated Electrons · Physics 2017-09-28 Y. Cui , J. Dai , P. Zhou , P. S. Wang , T. R. Li , W. H. Song , L. Ma , Z. Zhang , S. Y. Li , G. M. Luke , B. Normand , T. Xiang , W. Yu

We develop high temperature series expansions for $\ln{Z}$ and the uniform structure factor of the spin-half Heisenberg model on the hyperkagome lattice to order $\beta^{16}$. These expansions are used to calculate the uniform…

Strongly Correlated Electrons · Physics 2015-06-03 R. R. P. Singh , J. Oitmaa

Lattice-coupled antiferromagnetic spin model is analyzed for a number of frustrated lattices: triangular, Kagome, and pyrochlore. In triangular and Kagome lattices where ground state spins are locally ordered, the spin-lattice interaction…

Strongly Correlated Electrons · Physics 2009-11-10 Chenglong Jia , Jung Hoon Han

We report $^{35}$Cl NMR, ESR, $\mu$SR and specific heat measurements on the $S=1/2$ frustrated kagom\'e magnet kapellasite, $\alpha-$Cu$_3$Zn(OH)$_6$Cl$_2$, where a gapless spin liquid phase is stabilized by a set of competing exchange…

The structure and magnetic properties of rare-earth ions Tm$^{3+}$ kagom\'{e} lattice Tm$_3$Sb$_3$Mg$_2$O$_{14}$ are studied by X-ray diffraction, magnetic susceptibility and muon spin relaxation ($\mu$SR) experiments. The existence of a…

Strongly Correlated Electrons · Physics 2023-10-02 Yanxing Yang , Kaiwen Chen , Zhaofeng Ding , Adrian D. Hillier , Lei Shu

Recent experiments suggest a quantum spin liquid ground state in the material PbCuTe$_2$O$_6$, where $S=1/2$ moments are coupled by antiferromagnetic Heisenberg interactions into a three dimensional structure of corner sharing triangles…

Strongly Correlated Electrons · Physics 2021-09-15 Li Ern Chern , Yong Baek Kim

We present thermodynamic studies of a new spin-1/2 antiferromagnet containing undistorted kagome lattices---barlowite Cu$_{4}$(OH)$_{6}$FBr. Magnetic susceptibility gives $\theta_{CW}$ = $-$136 K, while long-range order does not happen…

Strongly Correlated Electrons · Physics 2014-12-05 Tian-Heng Han , John Singleton , John A. Schlueter

Magnetization and specific heat measurements have been carried out on Cs$_2$Cu$_3$ZrF$_{12}$ and Cs$_2$Cu$_3$HfF$_{12}$ single crystals, in which Cu$^{2+}$ ions with spin-1/2 form a regular Kagom\'{e} lattice. The antiferromagnetic exchange…

Strongly Correlated Electrons · Physics 2015-06-25 Y. Yamabe , T. Ono , T. Suto , H. Tanaka

Over the last decade, the interest in the spin-$1/2$ Heisenberg antiferromagnet (HAF) on the square-kagome (also called shuriken) lattice has been growing as a model system of quantum magnetism with a quantum paramagnetic ground state,…

Strongly Correlated Electrons · Physics 2022-05-05 Johannes Richter , Oleg Derzhko , Jürgen Schnack

We present a study of the critical phenomena around the quantum critical point in heavy-fermion systems. In the framework of the S=1/2 Kondo lattice model, we introduce an extended decoupling scheme of the Kondo interaction which allows one…

Strongly Correlated Electrons · Physics 2009-10-31 M. Lavagna , C. Pépin

Dynamics of classical Heisenberg spins, ${\bf S}_i=({\bf s}_i,S_{iz})$, on the Kagom\'{e} lattice has been studied. An ideal Heisenberg Kagom\'{e} antiferromagnet is known to remain disordered down to T=0 due to the macroscopic degeneracy…

Materials Science · Physics 2007-05-23 J. D. Lee

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

Strongly Correlated Electrons · Physics 2019-07-24 Patrick Müller , Andre Lohmann , Johannes Richter , Oleg Derzhko

We investigate the classical antiferromagnetic Heisenberg model on the triangular lattice with up to third-nearest neighbor exchange couplings using the Nematic Bond Theory. This approach allows us to compute the free energy and the neutron…

Strongly Correlated Electrons · Physics 2026-04-27 Cecilie Glittum , Olav F. Syljuåsen

We perform an exact diagonalization study of the spin-$1/2$ XXZ Heisenberg antiferromagnet on the kagome lattice at finite magnetization $m = \frac{2}{3}$ with an emphasis on the XY point ($J_z = 0$), and in the presence of a small chiral…

Strongly Correlated Electrons · Physics 2016-10-18 Krishna Kumar , Hitesh J. Changlani , Bryan K. Clark , Eduardo Fradkin

The spin wave excitations of the ideal S=5/2 Kagome lattice antiferromagnet KFe3(OH)6(SO4)2 have been measured using high-resolution inelastic neutron scattering. We directly observe a flat mode which corresponds to a lifted "zero energy…

Strongly Correlated Electrons · Physics 2008-10-31 K. Matan , D. Grohol , D. G. Nocera , T. Yildirim , A. B. Harris , S. H. Lee , S. E. Nagler , Y. S. Lee

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

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 recent experiments on a compound {displaying Ising-like short-range correlations on the triangular lattice, we study the anisotropic easy-axis spin-$1/2$ Heisenberg model on the triangular and kagome lattice} by performing…

Strongly Correlated Electrons · Physics 2024-02-19 Martin Ulaga , Jure Kokalj , Alexander Wietek , Andrej Zorko , Peter Prelovšek

For the paradigmatic frustrated spin-half Heisenberg antiferromagnet on the kagome lattice we performed large-scale numerical investigation of thermodynamic functions by means of the finite-temperature Lanczos method for system sizes of up…

Strongly Correlated Electrons · Physics 2018-10-03 J. Schnack , J. Schulenburg , J. Richter

Understanding spin and lattice excitations in a metallic magnetic ordered system form the basis to unveil the magnetic and lattice exchange couplings and their interactions with itinerant electrons. Kagome lattice antiferromagnet FeGe is…