Equivalence of the variational matrix product method and the density matrix renormalization group applied to spin chains

被引：127

作者：

Dukelsky, J

Martin-Delgado, MA

Nishino, T

Sierra, G

机构：

[1] CSIC, Inst Estructura Mat, E-28006 Madrid, Spain

[2] Univ Complutense Madrid, Dept Fis Teor 1, Madrid, Spain

[3] Kobe Univ, Fac Sci, Dept Phys, Kobe, Hyogo, Japan

[4] CSIC, Inst Matemat & Fis Fundamental, Madrid, Spain

来源：

EUROPHYSICS LETTERS | 1998年 / 43卷 / 04期

关键词：

D O I：

10.1209/epl/i1998-00381-x

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：457 / 462

页数：6

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