The correlated block renormalization group

被引:12
作者
MartinDelgado, MA
RodriguezLaguna, J
Sierra, G
机构
[1] CSIC,INST MATEMAT & FIS FUNDAMENTAL,MADRID 28006,SPAIN
[2] ETH HONGGERBERG,CH-8093 HONGG,SWITZERLAND
关键词
D O I
10.1016/0550-3213(96)00197-6
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We formulate the standard real-space renormalization group method in a way which takes into account the correlation between blocks. This is achieved in a dynamical way by means of operators which reflect the influence on a given block of its neighbours. We illustrate our method in the example of the tight-binding model in 1D and 2D for various types of boundary conditions.
引用
收藏
页码:685 / 706
页数:22
相关论文
共 20 条
[1]  
[Anonymous], UNPUB
[2]   QUANTUM FIELD-THEORIES ON A LATTICE - VARIATIONAL METHODS FOR ARBITRARY COUPLING STRENGTHS AND ISING-MODEL IN A TRANSVERSE MAGNETIC-FIELD [J].
DRELL, SD ;
WEINSTEIN, M ;
YANKIELOWICZ, S .
PHYSICAL REVIEW D, 1977, 16 (06) :1769-1781
[3]   COMMENT ON THE SLAC RENORMALIZATION-GROUP APPROACH TO THE ISING CHAIN IN A TRANSVERSE MAGNETIC-FIELD [J].
FERNANDEZPACHECO, A .
PHYSICAL REVIEW D, 1979, 19 (10) :3173-3175
[4]  
GONZALEZ J, 1995, LECT NOTES PHYSICS M, V38
[5]   ZERO-TEMPERATURE RENORMALIZATION METHOD FOR QUANTUM SYSTEMS .1. ISING-MODEL IN A TRANSVERSE FIELD IN ONE DIMENSION [J].
JULLIEN, R ;
PFEUTY, P ;
FIELDS, JN ;
DONIACH, S .
PHYSICAL REVIEW B, 1978, 18 (07) :3568-3578
[6]   THE ROLE OF BOUNDARY-CONDITIONS IN THE REAL-SPACE RENORMALIZATION-GROUP [J].
MARTINDELGADO, MA ;
SIERRA, G .
PHYSICS LETTERS B, 1995, 364 (01) :41-48
[7]  
MARTINDELGADO MA, 1995, IN PRESS PHYS REV LE
[8]  
MARTINDELGADO MA, 1995, IN PRESS INT J MOD A
[9]  
MARTINDELGADO MA, 1995, IN PRESS FIELD THEOR
[10]  
NISHINO T, 1995, CONDMAT9510004 TOH U