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The coupled cluster method is applied to a spin-half model at zero temperature ($T=0$), which interpolates between Heisenberg antiferromagnets (HAF's) on a kagome and a square lattice. With respect to an underlying triangular lattice the…

Strongly Correlated Electrons · Physics 2015-03-17 R. F. Bishop , P. H. Y. Li , D. J. J. Farnell , C. E. Campbell

The coupled cluster method (CCM) is used to study the zero-temperature properties of a frustrated spin-half ($s={1}{2}$) $J_{1}$--$J_{2}$ Heisenberg antiferromagnet (HAF) on a 2D chevron-square lattice. Each site on an underlying square…

Strongly Correlated Electrons · Physics 2013-10-28 P. H. Y. Li , R. F. Bishop , C. E. Campbell

A simple ``brute-force'' parallelisation procedure for the computational implementation of high-order coupled cluster method (CCM) calculations is presented here. This approach is investigated and illustrated by an application of high-order…

Strongly Correlated Electrons · Physics 2007-05-23 D. J. J. Farnell , R. F. Bishop

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 apply the coupled cluster method (CCM) in order to study the ground-state properties of the (unfrustrated) square-lattice and (frustrated) triangular-lattice spin-half Heisenberg antiferromagnets in the presence of external magnetic…

Strongly Correlated Electrons · Physics 2010-04-14 D. J. J. Farnell , R. Zinke , J. Richter , J. Schulenburg

We use the coupled cluster method (CCM) to study the zero-temperature ground-state (GS) properties of a spin-1/2 $J_{1}$--$J_{2}$ Heisenberg antiferromagnet on a triangular lattice with competing nearest-neighbor and next-nearest-neighbor…

Strongly Correlated Electrons · Physics 2015-01-26 Peggy H. Y. Li , Raymond F. Bishop , Charles E. Campbell

We use the coupled cluster method to study the zero-temperature properties of an extended two-dimensional Heisenberg antiferromagnet formed from spin-1/2 moments on an infinite spatially anisotropic kagome lattice of corner-sharing…

Strongly Correlated Electrons · Physics 2012-12-05 P. H. Y. Li , R. F. Bishop , C. E. Campbell , D. J. J. Farnell , O. Götze , J. Richter

We present a new high-order coupled cluster method (CCM) formalism for the ground states of lattice quantum spin systems for general spin quantum number, $s$. This new ``general-$s$'' formalism is found to be highly suitable for a…

Strongly Correlated Electrons · Physics 2010-05-07 D. J. J. Farnell , R. F. Bishop , K. A. Gernoth

The coupled cluster method (CCM) has previously been applied to study the ground- and excited-state properties of many different types of frustrated and unfrustrated quantum spin systems. A common feature in the application of the CCM is to…

Strongly Correlated Electrons · Physics 2014-02-20 Damian J. J. Farnell , Andrew I. Croudace

The coupled cluster method (CCM) is a powerful and widely applied technique of modern-day quantum many-body theory. It has been used with great success in order to understand the properties of quantum magnets at zero temperature. This is…

Strongly Correlated Electrons · Physics 2009-09-11 D. J. J. Farnell

We report results from spin trimer-based cluster quantum Monte Carlo simulations for the thermodynamic properties of two-dimensional frustrated quantum antiferromagnets that are composed of weakly-coupled three-spin (trimer) clusters. In…

Strongly Correlated Electrons · Physics 2022-08-31 Lukas Weber , Nils Caci , Stefan Wessel

We propose a new model for the nature of the low temperature phase of a geometrically frustrated antiferromgnet (AFM) with a Kagome lattice, SrCr$_{8-x}$Ga$_{4+x}$O$_{19}$. We propose that the long-range dipolar interaction between the…

Condensed Matter · Physics 2007-05-23 Nir Gov

We use the coupled cluster method (CCM) to study the zero-temperature phase diagram of a 2D frustrated spin-half antiferromagnet, the so-called Union Jack model. It is defined on a square lattice such that all nearest-neighbor bonds are…

Strongly Correlated Electrons · Physics 2010-07-16 R. F. Bishop , P. H. Y. Li , D. J. J. Farnell , C. E. Campbell

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 zero-temperature properties of the spin-half two-dimensional Shastry-Sutherland antiferromagnet by using a high-order coupled cluster method (CCM) treatment. We find that this model demonstrates various groundstate phases…

Strongly Correlated Electrons · Physics 2007-05-23 R. Darradi , J. Richter , D. J. J. Farnell

The coupled cluster method (CCM) is applied to the spin-one anisotropic Heisenberg antiferromagnet (HAF) on the square lattice at zero temperature using a new high-order CCM ground-state formalism for general quantum spin number ($s \ge…

Strongly Correlated Electrons · Physics 2007-05-23 D. J. J. Farnell , K. A. Gernoth , R. F. Bishop

We study quantum spin systems in the 1D, 2D square and 3D cubic lattices with nearest-neighbour XY exchange. We use the coupled-cluster method (CCM) to calculate the ground-state energy, the T=0 sublattice magnetisation and the excited…

Condensed Matter · Physics 2009-10-30 D. J. J. Farnell , S. E. Krueger , J. B. Parkinson

By using the coupled cluster method (CCM) and the numerical exact diagonalization (ED) method, we investigated the properties of the one quasi-one-dimensional coupled spin triangles. The results of ED disclose that the system is in the…

Strongly Correlated Electrons · Physics 2015-03-25 Jian-Jun Jiang , Yong-Jun Liu , Fei Tang , Cui-Hong Yang

An effective-field theory based on the single-spin cluster has been used to study of a diluted spin-$1/2$ Ising antiferromagnet on the Kagome lattice with nearest-neighbor interactions. We observe five plateaus in the magnetization curve of…

Statistical Mechanics · Physics 2020-07-08 A. Bobák , T. Lučivjanský , M. Žukovič

Starting with the sqrt{3} x sqrt{3} and the q=0 states as reference states we use the coupled cluster method to high orders of approximation to investigate the ground state of the Heisenberg antiferromagnet on the kagome lattice for spin…

Strongly Correlated Electrons · Physics 2012-01-04 O. Götze , D. J. J. Farnell , R. F. Bishop , P. H. Y. Li , J. Richter
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