Volume 43, Number 4, August II 1998
|Page(s)||457 - 462|
|Section||Condensed matter: electronic structure, electrical, magnetic and optical properties|
|Published online||01 September 2002|
Equivalence of the variational matrix product method and the density matrix renormalization group applied to spin chains
Instituto de Estructura de la Materia, CSIC - Madrid, Spain
2 Departamento de Física Teórica I, Universidad Complutense - Madrid, Spain
3 Department of Physics, Faculty of Science, Kobe University - Japan
4 Instituto de Matemáticas y Física Fundamental, CSIC - Madrid, Spain
Accepted: 25 June 1998
We study the relationship between the Density Matrix Renormalization Group (DMRG) and the variational matrix product method (MPM). In the latter method one can also define a density matrix whose eigenvalues turn out to be numerically close to those of the DMRG. We illustrate our ideas with the spin-1 Heisenberg chain, where we compute the ground-state energy and the spin correlation length. We also give a rotational invariant formulation of the MPM.
PACS: 75.10.Jm – Quantized spin models
© EDP Sciences, 1998
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.