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The cluster multipole (CMP) expansion for magnetic structures provides a scheme to systematically generate candidate magnetic structures specifically including noncollinear magnetic configurations adapted to the crystal symmetry of a given…

Materials Science · Physics 2021-02-19 Marie-Therese Huebsch , Takuya Nomoto , Michi-To Suzuki , Ryotaro Arita

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 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

Cluster magnetic multipoles are order parameters that describe the symmetry of spin arrangements in magnetic materials. High-order multipoles are particularly important in non-collinear antiferromagnets, where they determine key physical…

Mesoscale and Nanoscale Physics · Physics 2025-01-14 Myoung-Woo Yoo , Axel Hoffmann

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

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 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

Coplanar model states for applications of the coupled cluster method (CCM) to problems in quantum magnetism are those in which all spins lie in a plane, whereas three-dimensional (3D) model states are, by contrast, non-coplanar ones in…

Strongly Correlated Electrons · Physics 2019-07-02 D. J. J. Farnell , R. F. Bishop , J. Richter

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

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) is applied to a spin-half model at zero temperature which interpolates between a triangular lattice antiferromagnet (TAF) and a Kagome lattice antiferromagnet (KAF). The strength of the bonds which connect…

Superconductivity · Physics 2017-08-23 D. J. J. Farnell , R. F. Bishop , K. A. Gernoth

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 present a new approach to clustering, based on the physical properties of an inhomogeneous ferromagnet. No assumption is made regarding the underlying distribution of the data. We assign a Potts spin to each data point and introduce an…

Disordered Systems and Neural Networks · Physics 2008-02-03 Marcelo Blatt , Shai Wiseman , Eytan Domany

We propose a realization of an antisymmetric spin-split band structure through magnetic phase transitions without spin-orbit coupling. It enables us to utilize for a variety of magnetic-order-driven cross-correlated and nonreciprocal…

Strongly Correlated Electrons · Physics 2020-07-01 Satoru Hayami , Yuki Yanagi , Hiroaki Kusunose

Machine learning potentials have emerged as a powerful tool to extend the time and length scales of first principles-quality simulations. Still, most machine learning potentials cannot distinguish different electronic spin orientations and…

Computational Physics · Physics 2022-01-25 Marco Eckhoff , Jörg Behler

A description of non-collinear magnetism in the framework of spin-density functional theory is presented for the exact exchange energy functional which depends explicitly on two-component spinor orbitals. The equations for the effective…

This paper presents a systematic study of the application of convolutional neural networks (CNNs) as an efficient and versatile tool for the analysis of critical and low-temperature phase states in spin system models. The problem of…

Computational Physics · Physics 2025-12-09 Dmitrii Kapitan , Pavel Ovchinnikov , Konstantin Soldatov , Petr Andriushchenko , Vitalii Kapitan

A systematic framework to investigate spin dynamics in non-collinear antiferromagnet is proposed. Taking Mn$_3$Sn as a representative example, we derive an effective low energy model based on the multipole expansion of the magnetic…

Mesoscale and Nanoscale Physics · Physics 2020-03-04 Takuya Nomoto , Ryotaro Arita

We present a first-principles method based on density functional theory and many-body perturbation theory for computing spin excitations in magnetic systems with noncollinear spin textures. Traditionally, the study of magnetic excitations…

Materials Science · Physics 2025-10-21 Hsiao-Yi Chen , Ryotaro Arita , Yusuke Nomura

A cluster composed of a few magnetic atoms assembled on the surface of a nonmagnetic substrate is one suitable realization of a bit for future concepts of spin-based information technology. The prevalent approach to achieve magnetic…

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