High-Order Coupled Cluster Method (CCM) Calculations Via Parallel Processing: An Application To The Kagome Antiferromagnet

Details High-Order Coupled Cluster Method (CCM) Calculations Via Parallel Processing: An Application To The Kagome Antiferromagnet High-Order Coupled Cluster Method (CCM) Calculations Via Parallel Processing: An Application To The Kagome Antiferromagnet

2003-11-06

arxiv.org/abs/cond-mat/0311126v1

Physics

Condensed Matter

Strongly Correlated Electrons

2 Postscript figures

Scientific paper

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 CCM to the Heisenberg antiferromagnet on the Kagom\'e lattice with nearest- and next-nearest-neighbour bonds. Ferromagnetic next-nearest-neighbour bonds are used to stabilise a model state which contains three sublattices in which the spins make angles of 120$^{\circ}$ to each other. Ground-state results for up to approximately 10000 fundamental clusters are presented, and our best estimate for the ground-state energy per spin of the spin-half Kagom\'e lattice antiferromagnet with only nearest-neighbour bonds is $E_g/N = -0.43104$. We believe that further increases (of at least another order of magnitude) in the number of fundamental clusters might be possible in future by using parallel processing techniques. The extension of high-order CCM calculations in order to consider non-N\'eel (e.g., dimer solid) model states, simulation of excitation spectra, lattice boson and fermion models, and finite-sized systems is very briefly considered.

Affiliated with

Also associated with

No associations

Rating

High-Order Coupled Cluster Method (CCM) Calculations Via Parallel Processing: An Application To The Kagome Antiferromagnet 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 High-Order Coupled Cluster Method (CCM) Calculations Via Parallel Processing: An Application To The Kagome Antiferromagnet, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and High-Order Coupled Cluster Method (CCM) Calculations Via Parallel Processing: An Application To The Kagome Antiferromagnet will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-519108