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

被引：132

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.

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页码：457 / 462

页数：6

相关论文

共 10 条

[1] TOPICS IN QUANTUM PROBABILITY [J].

ACCARDI, L .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1981, 77 (03) :169-192

[2] VALENCE BOND GROUND-STATES IN ISOTROPIC QUANTUM ANTIFERROMAGNETS [J].

AFFLECK, I ;

KENNEDY, T ;

LIEB, EH ;

TASAKI, H .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 115 (03) :477-528

[3] FINITELY CORRELATED STATES ON QUANTUM SPIN CHAINS [J].

FANNES, M ;

NACHTERGAELE, B ;

WERNER, RF .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1992, 144 (03) :443-490

[4] MATRIX PRODUCT GROUND-STATES FOR ONE-DIMENSIONAL SPIN-1 QUANTUM ANTIFERROMAGNETS [J].

KLUMPER, A ;

SCHADSCHNEIDER, A ;

ZITTARTZ, J .

EUROPHYSICS LETTERS, 1993, 24 (04) :293-297

[5] Corner transfer matrix renormalization group method [J].

Nishino, T ;

Okunishi, K .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1996, 65 (04) :891-894

[6]

ROMAN JM, CONDMAT9802150

[7] The density matrix renormalization group method applied to interaction round a face Hamiltonians [J].

Sierra, G ;

Nishino, T .

NUCLEAR PHYSICS B, 1997, 495 (03) :505-532

[8] Dimer-hole-RVB state of the two-leg t-J ladder: A recurrent variational ansatz [J].

Sierra, G ;

Martin-Delgado, MA ;

Dukelsky, J ;

White, SR ;

Scalapino, DJ .

PHYSICAL REVIEW B, 1998, 57 (18) :11666-11673

[9] DENSITY-MATRIX FORMULATION FOR QUANTUM RENORMALIZATION-GROUPS [J].

WHITE, SR .

PHYSICAL REVIEW LETTERS, 1992, 69 (19) :2863-2866

[10] NUMERICAL RENORMALIZATION-GROUP STUDY OF LOW-LYING EIGENSTATES OF THE ANTIFERROMAGNETIC S = 1 HEISENBERG CHAIN [J].

WHITE, SR ;

HUSE, DA .

PHYSICAL REVIEW B, 1993, 48 (06) :3844-3852