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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 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…

强关联电子 · 物理学 2010-05-07 D. J. J. Farnell , R. F. Bishop , K. A. Gernoth

The coupled cluster method (CCM) is a well-known method of quantum many-body theory, and here we present an application of the CCM to the spin-half J_1--J_2 quantum spin model with nearest- and next-nearest-neighbour interactions on the…

强关联电子 · 物理学 2017-08-24 Raymond F. Bishop , Damian J. J. Farnell , John B. Parkinson

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…

强关联电子 · 物理学 2013-10-28 P. H. Y. Li , R. F. Bishop , C. E. Campbell

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…

强关联电子 · 物理学 2015-01-26 Peggy H. Y. Li , Raymond F. Bishop , Charles E. Campbell

A review of the coupled cluster method (CCM) applied to lattice quantum spin systems is presented here. The CCM formalism is explained and an application to the spin-half {\it XXZ} model on the square lattice is presented. Low orders of…

强关联电子 · 物理学 2007-05-23 D. J. J. Farnell , R. F. Bishop

The phase transition occurring in a square 2-D spin lattice governed by an anisotropic Heisenberg Hamiltonian has been studied according to two recently proposed methods. The first one, the Dressed Cluster Method, provides excellent…

强关联电子 · 物理学 2007-05-23 Mohamad Al Hajj , Nathalie Guihery , Jean-Paul Malrieu , Peter Wind

We study the zero-temperature phase diagram and the low-lying excitations of a square-lattice spin-half Heisenberg antiferromagnet with two types of regularly distributed nearest-neighbour exchange bonds (J>0 (antiferromagnetic) and J'>0,…

We use a variational mean-field like approach, the coupled cluster method (CCM) and exact diagonalization to investigate the ground-state order-disorder transition for the square lattice spin-half XXZ model with two different…

强关联电子 · 物理学 2009-11-10 R. Darradi , J. Richter , S. E. Krueger

Using the coupled cluster method (CCM) we study the full (zero-temperature) ground-state (GS) phase diagram of a spin-half ($s=1/2$) $J_{1}$-$J_{2}$ Heisenberg model on a cross-striped square lattice. Each site of the square lattice has 4…

强关联电子 · 物理学 2014-01-10 R. F. Bishop , P. H. Y. Li , C. E. Campbell

The S=1/2 and S=1 two-dimensional quantum Heisenberg antiferromagnets on the anisotropic dimerized square lattice are investigated by the quantum Monte Carlo method. By finite-size-scaling analyses on the correlation lengths, the…

强关联电子 · 物理学 2009-11-07 Munehisa Matsumoto , Chitoshi Yasuda , Synge Todo , Hajime Takayama

The coupled cluster method (CCM) is employed to very high orders of approximation to study the ground-state (GS) properties of the spin-$s$ Heisenberg antiferromagnet (with isotropic interactions, all of equal strength, between…

强关联电子 · 物理学 2016-03-02 R. F. Bishop , P. H. Y. Li

The phase transition of the quantum spin-1/2 frustrated Heisenberg antiferroferromagnet on an anisotropic square lattice is studied by using a variational treatment. The model is described by the Heisenberg Hamiltonian with two…

统计力学 · 物理学 2015-06-05 Orlando D. Mabelini , Octavio Salmon , J. Ricardo de Sousa

We study the spin-$1$ model in a triangular lattice in presence of a uniaxial anisotropy field using a Cluster Mean-Field approach (CMF). The interplay between antiferromagnetic exchange, lattice geometry and anisotropy forces Gutzwiller…

强关联电子 · 物理学 2015-06-18 M. Moreno-Cardoner , H. Perrin , S. Paganelli , G. De Chiara , A. Sanpera

We outline how the coupled cluster method of microscopic quantum many-body theory can be utilized in practice to give highly accurate results for the ground-state properties of a wide variety of highly frustrated and strongly correlated…

强关联电子 · 物理学 2014-10-24 R. F. Bishop , P. H. Y. Li , C. E. Campbell

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…

强关联电子 · 物理学 2010-07-16 R. F. Bishop , P. H. Y. Li , D. J. J. Farnell , C. E. Campbell

We study the zero-temperature phase diagram of the $J_{1}^{XXZ}$--$J_{2}^{XXZ}$ Heisenberg model for spin-1 particles on an infinite square lattice interacting via nearest-neighbour ($J_1 \equiv 1$) and next-nearest-neighbour ($J_2 > 0$)…

强关联电子 · 物理学 2010-05-07 R F Bishop , P H Y Li , R Darradi , J Richter , C E Campbell

We report on recent results for strongly frustrated quantum $J_1$-$J_2$ antiferromagnets in dimensionality d=1,2,3 obtained by the coupled cluster method (CCM). We demonstrate that the CCM in high orders of approximation allows us to…

强关联电子 · 物理学 2009-11-11 J. Richter , R. Darradi , R. Zinke , R. F. Bishop

In this article, we prove that exact representations of dimer and plaquette valence-bond ket ground states for quantum Heisenberg antiferromagnets may be formed via the usual coupled cluster method (CCM) from independent-spin product (e.g.…

强关联电子 · 物理学 2009-08-11 D. J. J. Farnell , J. Richter , R. Zinke , R. F. Bishop

The zero-temperature quantum phase diagram of the spin-$\frac{1}{2}$ $J_{1}$--$J_{2}$--$J_{1}^{\perp}$ model on an $AA$-stacked bilayer honeycomb lattice is investigated using the coupled cluster method (CCM). The model comprises two…

强关联电子 · 物理学 2019-03-20 P. H. Y. Li , R. F. Bishop
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