Real-space renormalization-group study of the phase diagram of two coupled quantum spin-1/2 chains

被引:11
作者
Schollwock, U
Ko, DYK
机构
[1] CTR ETUD SACLAY,CEA,SERV PHYS THEOR,F-91191 GIF SUR YVETTE,FRANCE
[2] UNIV OXFORD,DEPT THEORET PHYS,OXFORD OX1 3NP,ENGLAND
来源
PHYSICAL REVIEW B | 1996年 / 53卷 / 01期
关键词
D O I
10.1103/PhysRevB.53.240
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We investigate the phase diagram of two coupled quantum spin-1/2 chains, a square ladder, allowing for anisotropies both in the interchain and intrachain coupling, using the recently introduced density-matrix renormalization-group (DMRG) algorithm. We consider open chains up to a length of 2X200, while retaining up to 120 states in the truncated basis of the Hilbert space. The phase diagram is discussed in connection with exact results and bosonization analysis. Numerically, we show that the crossover from the critical behavior of the uncoupled disordered spin-1/2 chain to a gapped quantum liquid sets in for infinitesimal interchain coupling, both for ferromagnetic and antiferromagnetic interchain coupling. The Haldane phase of the coupled chains is, even for small interchain couplings, generically described by the Affleck-Kennedy-Lieb-Tasaki model. We also discuss typical shortcomings of the DMRG for some choices of the interaction parameters.
引用
收藏
页码:240 / 250
页数:11
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