Renormalized excitonic method in terms of block excitations:: Application to spin lattices -: art. no. 224412

被引：17

作者：

Al Hajj, M ^{[1
]}

Malrieu, JP ^{[1
]}

Guihéry, N ^{[1
]}

机构：

[1] Univ Toulouse 3, Phys Quant Lab, IRSAMC, UMR 5626, F-31062 Toulouse 4, France

来源：

PHYSICAL REVIEW B | 2005年 / 72卷 / 22期

关键词：

D O I：

10.1103/PhysRevB.72.224412

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Dividing the lattice into blocks with a singlet ground state and knowing the exact low-energy spectrum of the blocks and of dimers (or trimers) of blocks, it is possible to approach the lowest part of the lattice spectrum through an excitonic type effective model. The potentialities of the method are illustrated on the one-dimensional (1D) frustrated chain and the 1/5-depleted square and the plaquette 2D lattices. The method correctly locates the phase transitions between gapped and nongapped phases.

引用

页数：8

共 26 条

[1] Theoretical studies of the phase transition in the anisotropic two-dimensional square spin lattice -: art. no. 094415 [J].

Al Hajj, M ;

Guihéry, N ;

Malrieu, JP ;

Wind, P .

PHYSICAL REVIEW B, 2004, 70 (09) :094415-1

[2] Real space renormalization group with effective interactions:: applications to 2-D spin lattices [J].

Al Hajj, M ;

Guihéry, N ;

Malrieu, JP ;

Bocquillon, B .

EUROPEAN PHYSICAL JOURNAL B, 2004, 41 (01) :11-21

[3]

Al Hajj M, 2005, PHYS REV B, V72, DOI [10.1103/PhysRevB.72.094436, 10.1103/PhysRevB.094436]

[4] Self-consistent perturbative evaluation of ground-state energies: Application to cohesive energies of spin lattices [J].

Al Hajj, M ;

Malrieu, JP .

PHYSICAL REVIEW B, 2004, 70 (18) :1-9

[5] Plaquette boson-fermion model of cuprates [J].

Altman, E ;

Auerbach, A .

PHYSICAL REVIEW B, 2002, 65 (10) :1-15

[6] SUR LA THEORIE DES PERTURBATIONS DES ETATS LIES [J].

BLOCH, C .

NUCLEAR PHYSICS, 1958, 6 (03) :329-347

[7] Numerical contractor renormalization method for quantum spin models -: art. no. 104424 [J].

Capponi, S ;

Läuchli, A ;

Mambrini, M .

PHYSICAL REVIEW B, 2004, 70 (10) :104424-1

[8] Charge density correlations in t-J ladders investigated by the contractor-renormalization method -: art. no. 180503 [J].

Capponi, S ;

Poilblanc, D .

PHYSICAL REVIEW B, 2002, 66 (18) :1-4

[9] DENSITY-MATRIX RENORMALIZATION-GROUP STUDIES OF THE SPIN-1/2 HEISENBERG SYSTEMS WITH DIMERIZATION AND FRUSTRATION [J].

CHITRA, R ;

PATI, S ;

KRISHNAMURTHY, HR ;

SEN, D ;

RAMASESHA, S .

PHYSICAL REVIEW B, 1995, 52 (09) :6581-6587

[10]

CIZEK J, 1966, J CHEM PHYS, V45, P4256

← 1 2 3 →