Ab Initio Treatments of the Ising Model in a Transverse Field

Details Ab Initio Treatments of the Ising Model in a Transverse Field Ab Initio Treatments of the Ising Model in a Transverse Field

2000-11-02

arxiv.org/abs/cond-mat/0011043v1

Physics

Condensed Matter

Strongly Correlated Electrons

28 Pages, 4 Figures, 1 Table

Scientific paper

10.1142/S0217979200001618

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.

Affiliated with

Also associated with

No associations

Rating

Ab Initio Treatments of the Ising Model in a Transverse Field does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Ab Initio Treatments of the Ising Model in a Transverse Field, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ab Initio Treatments of the Ising Model in a Transverse Field will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-452966