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An Efficient Implementation of High-Order Coupled-Cluster Techniques Applied to Quantum Magnets

1996/11/03 by Chen Zeng, D. J. J. Farnell, R. F. Bishop · 6 citations
Materials Science · Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Anisotropy #Antiferromagnetism #Cluster (spacecraft) #Computer science #Condensed matter physics #Coupled cluster #Ferromagnetism #Ground state #Heisenberg model #Hexagonal lattice #Ising model #Lattice (music) #Magnet #Magnetic and transport properties of perovskites and related materials #Magnetic field #Magnetization #Mathematics #Monte Carlo method #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum Monte Carlo #Quantum annealing #Quantum computer #Quantum mechanics #Square lattice #Statistical physics #cond-mat.stat-mech

paper · pdf · doi:10.1023/a:1023220222019

published as J. Stat. Phys. 90 (1998), 327-361 · 25 pages, including 8 figures

arxiv created 1996/11/03 · openalex publication_date 1998/01/01 · arxiv updated 2017/08/24 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/05

Abstract

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 square-lattice and the frustrated triangular-lattice quantum antiferromagnets. Various physical quantities including the ground-state energy, the anisotropy susceptibility, and the sublattice magnetisation are calculated and compared with those obtained from such other methods as series expansions and quantum Monte Carlo simulations.

Citations

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