Ab Initio Calculations of the Spin-Half XY Model

Details Ab Initio Calculations of the Spin-Half XY Model Ab Initio Calculations of the Spin-Half XY Model

2001-05-20

arxiv.org/abs/cond-mat/0105386v1

Physics

Condensed Matter

Strongly Correlated Electrons

10 pages, 3 figures

Scientific paper

In this article, the correlated basis-function (CBF) method is applied for the first time to the quantum spin-half {\it XY} model on the linear chain, the square lattice, and the simple cubic lattice. In this treatment of the quantum spin-half {\it XY} model a Jastrow ansatz is utilised to approximate the ground-state wave function. Results for the ground-state energy and the sublattice magnetisation are presented, and evidence that the CBF detects the quantum phase transition point in this model is also presented. The CBF results are compared to previous coupled cluster method (CCM) results for the spin-half {\it XY} model, and the two formalisms are then compared and contrasted.

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