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Related papers: Coupled Cluster Treatment of the XY model

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The coupled-cluster method is applied to the spin-1/2 antiferromagnetic XXZ model on a square lattice by employing an approximation which contains two-body long-range correlations and high-order four-body local correlations. Improvement is…

Strongly Correlated Electrons · Physics 2015-05-28 Mohammad Merdan , Y. Xian

We illustrate how the systematic inclusion of multi-spin correlations of the quantum spin-lattice systems can be efficiently implemented within the framework of the coupled-cluster method by examining the ground-state properties of both the…

Statistical Mechanics · Physics 2017-08-24 Chen Zeng , D. J. J. Farnell , R. F. Bishop

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…

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

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

In this article, we present new results of high-order coupled cluster method (CCM) calculations, based on a N\'eel model state with spins aligned in the $z$-direction, for both the ground- and excited-state properties of the spin-half {\it…

Strongly Correlated Electrons · Physics 2013-05-30 R. F. Bishop , D. J. J. Farnell , S. E. Krueger , J. B. Parkinson , J. Richter , C. Zeng

We present a study of the two dimensional circular quantum dot model Hamiltonian using a range of quantum chemical ab initio methods. Ground and excited state energies are computed on different levels of perturbation theories including the…

Chemical Physics · Physics 2022-03-23 Faruk Salihbegović , Alejandro Gallo , Andreas Grüneis

We apply the microscopic coupled-cluster method (CCM) to the spin-$1\over2$ $XXZ$ models on both the one-dimensional chain and the two-dimensional square lattice. Based on a systematic approximation scheme of the CCM developed by us…

Condensed Matter · Physics 2017-08-24 R. F. Bishop , R. G. Hale , Y. Xian

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…

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

A new approximate scheme, DSUB$m$, is described for the coupled cluster method. We then apply it to two well-studied (spin-1/2 Heisenberg antiferromagnet) spin-lattice models, namely: the $XXZ$ and the $XY$ models on the square lattice in…

Strongly Correlated Electrons · Physics 2017-08-24 R. F. Bishop , P. H. Y. Li , J. Schulenburg

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 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

A new approximation hierarchy, called the LPSUB$m$ scheme, is described for the coupled cluster method (CCM). It is applicable to systems defined on a regular spatial lattice. We then apply it to two well-studied prototypical (spin-1/2…

Strongly Correlated Electrons · Physics 2011-05-05 R F Bishop , P H Y Li

The coupled cluster method (CCM) is a method of quantum many-body theory that may provide accurate results for the ground-state properties of lattice quantum spin systems even in the presence of strong frustration and for lattices of…

Strongly Correlated Electrons · Physics 2009-11-11 D. J. J. Farnell , J. Schulenburg , J. Richter , K. A. Gernoth

We have studied electron correlations in the doped two-dimensional (2D) Hubbard model by using the coupled-cluster method (CCM) to investigate whether or not the method can be applied to correct the independent particle approximations…

Strongly Correlated Electrons · Physics 2009-10-31 Yoshihiro Asai , Hideki Katagiri

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…

Strongly Correlated Electrons · Physics 2014-10-24 R. F. Bishop , P. H. Y. Li , C. E. Campbell

We apply Coupled Cluster Method to a strongly correlated lattice and develop the Spectral Coupled Cluster equations by finding an approximation to the resolvent operator, that gives the spectral response for an certain class of probe…

Strongly Correlated Electrons · Physics 2012-07-03 Alessandro Mirone

A microscopic description of nuclei is important to understand the nuclear shell-model from fundamental principles. This is difficult to achieve for more than the lightest nuclei without an effective approximation scheme. The purpose of…

Nuclear Theory · Physics 2013-08-19 Gustav R. Jansen

In single-reference coupled-cluster (CC) methods, one has to solve a set of non-linear polynomial equations in order to determine the so-called amplitudes which are then used to compute the energy and other properties. Although it is of…

Chemical Physics · Physics 2021-09-10 Antoine Marie , Fábris Kossoski , Pierre-François Loos

By the analytical coupled cluster method (CCM), we study both the ground state and lowest-lying excited-state properties of the alternating bond diamond chain. The numerical exact diagonalization (ED) method is also applied to the chain to…

Strongly Correlated Electrons · Physics 2015-11-09 Jian-Jun Jiang , Yong-Jun Liu , Fei Tang , Cui-Hong Yang
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