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Ab initio treatments of the Ising model in a transverse field

Bishop, R. F., Farnell, Damian J. J. and Ristig, M. L. 2000. Ab initio treatments of the Ising model in a transverse field. International Journal of Modern Physics B 14 (15) , pp. 1517-1536. 10.1142/S0217979200001618

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Abstract

In this article new results are presented for the zero-temperature ground-state properties of the spin-half transverse Ising model on various lattices using three different approximate techniques. These are, respectively, the coupled cluster method, the correlated basis function method, and the variational quantum Monte Carlo method. The methods, at different levels of approximation, are used to study the ground-state properties of these systems, and the results are found to be in excellent agreement both with each other and with results of exact calculations for the linear chain and results of exact cumulant series expansions for lattices of higher spatial dimension. The different techniques used are compared and contrasted in the light of these results, and the constructions of the approximate ground- state wave functions are especially discussed.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Dentistry
Subjects: Q Science > QC Physics
Publisher: World Scientific Publishing
ISSN: 0217-9792
Last Modified: 04 Jun 2017 06:44
URI: http://orca.cf.ac.uk/id/eprint/64289

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