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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 study the low-temperature behaviour of the classical Heisenberg antiferromagnet with nearest neighbour interactions on the pyrochlore lattice. Because of geometrical frustration, the ground state of this model has an extensive number of…

Statistical Mechanics · Physics 2009-10-30 R. Moessner , J. T. Chalker

The effect of site dilution by non magnetic impurities on the susceptibility of geometrically frustrated antiferromagnets (kagome and pyrochlore lattices) is discussed in the framework of the Generalized Constant Coupling model, for both…

Strongly Correlated Electrons · Physics 2009-11-07 Angel J. Garcia-Adeva , David L. Huber

We analyzed the magnetic susceptibilities of several Cr spinels using two recent models for the geometrically frustrated pyrochlore lattice, the Quantum Tetrahedral Mean Field model and a Generalized Constant Coupling model. Both models can…

Strongly Correlated Electrons · Physics 2010-03-01 Ch. Kant , J. Deisenhofer , V. Tsurkan , A. Loidl

We present an extensive gallium NMR study of the geometrically frustrated kagome bi-layer compound SrCr_(9p)Ga_(12-9p)O_(19) (Cr^3+, S=3/2) over a broad Cr-concentration range (.72<p<.95). This allows us to probe locally the kagome bi-layer…

Strongly Correlated Electrons · Physics 2009-11-07 L. Limot , P. Mendels , G. Collin , C. Mondelli , B. Ouladdiaf , H. Mutka , N. Blanchard , M. Mekata

We study the ground-state and low-energy properties of classical vector spin models with nearest-neighbour antiferromagnetic interactions on a class of geometrically frustrated lattices which includes the kagome and pyrochlore lattices. We…

Statistical Mechanics · Physics 2009-10-31 R. Moessner , J. T. Chalker

We report on the quasi-two-dimensional magnetism of the natural mineral diaboleite Pb2Cu(OH)4Cl2 with a tetragonal crystal structure, which is closely related to that of the frustrated spin-1/2 magnet PbVO3. Magnetic susceptibility of…

Materials Science · Physics 2013-02-15 Alexander A. Tsirlin , Oleg Janson , Stefan Lebernegg , Helge Rosner

Magnetization plateaus, visible as anomalies in magnetic susceptibility at low temperatures, are one of the hallmarks of frustrated magnetism. We show how an extremely robust half-magnetization plateau can arise from coupling between spin…

Strongly Correlated Electrons · Physics 2009-11-10 K. Penc , N. Shannon , H. Shiba

We report the analysis of magnetic susceptibility $\chi$($T$) of Sr$_2$IrO$_4$ single crystal in the paramagnetic phase. We formulate the theoretical susceptibility based on isotropic Heisenberg antiferromagnetism incorporating the…

Strongly Correlated Electrons · Physics 2016-12-28 Tomohiro Takayama , Akiyo Matsumoto , George Jackeli , Hidenori Takagi

The antiferromagnetic Heisenberg model on a pyrochlore lattice under external magnetic field is studied by classical Monte Carlo simulation. The model includes bilinear and biquadratic interactions; the latter effectively describes the…

Strongly Correlated Electrons · Physics 2007-05-23 Yukitoshi Motome , Karlo Penc , Nic Shannon

We compute the magnetic susceptibility and specific heat of the spin-1/2 Heisenberg model on the kagome lattice with high-temperature expansions and exact diagonalizations. We compare the results with the experimental data on ZnCu3(OH)6Cl2…

Strongly Correlated Electrons · Physics 2011-11-09 Gregoire Misguich , Philippe Sindzingre

Weak bond disorder disrupts the expected spin-liquid ground-state of the ideal $S$ = 1/2 Heisenberg pyrochlore antiferromagnet. Here we introduce a single crystal study of the structural and magnetic properties of the bond-disordered…

Strongly Correlated Electrons · Physics 2023-07-12 Andrej Kancko , Gerald Giester , Ross H. Colman

A generalized constant coupling approximation for classical geometrically frustrated antiferromagnets is presented. Starting from a frustrated unit we introduce the interactions with the surrounding units in terms of an internal effective…

Strongly Correlated Electrons · Physics 2009-10-31 A. J. Garcia-Adeva , D. L. Huber

Frustrated three dimensional quantum magnets are notoriously impervious to theoretical analysis. Here we use a combination of three computational methods to investigate the three dimensional pyrochlore $S=1/2$ quantum antiferromagnet, an…

Strongly Correlated Electrons · Physics 2020-08-10 Robin Schäfer , Imre Hagymási , Roderich Moessner , David J. Luitz

Correlation functions (CFs) of the classical Heisenberg antiferromagnet on the pyrochlore lattice are studied by solving exactly the infinite-component spin-vector model. % As in many Fully Frustrated Lattices, the constraint due to the…

Strongly Correlated Electrons · Physics 2009-11-07 Benjamin Canals , Dmitry Garanin

We investigate spin diffusion in geometrically frustrated Heisenberg antiferromagnets. It is found that the diffusion constant gradually increases from its high temperature limit as the temperature approaches the peak temperature of the…

Strongly Correlated Electrons · Physics 2009-11-10 D. L. Huber

Magnetic pyrochlore oxides, including the spin ice materials, have proved to be a rich field for the study of geometrical frustration in 3 dimensions. Recently, a new family of magnetic oxides has been synthesised in which the half of the…

Strongly Correlated Electrons · Physics 2015-12-08 Owen Benton , Nic Shannon

Motivated by puzzling aspects of spin-glass behavior reported in frustrated magnetic materials, we theoretically investigate effects of magnetoelastic coupling in geometrically frustrated classical spin models. In particular, we consider…

Strongly Correlated Electrons · Physics 2014-10-28 Hiroshi Shinaoka , Yusuke Tomita , Yukitoshi Motome

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

The Heisenberg nearest neighbour antiferromagnet on the pyrochlore (3D) lattice is highly frustrated and does not order at low temperature where spin-spin correlations remain short ranged. Dzyaloshinsky-Moriya interactions (DMI) may be…

Strongly Correlated Electrons · Physics 2009-11-11 M. Elhajal , B. Canals , R. Sunyer i Borrell , C. Lacroix
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