Spin ladders with nonmagnetic impurities

被引:39
作者
Mikeska, HJ [1 ]
Neugebauer, U [1 ]
Schollwock, U [1 ]
机构
[1] UNIV MUNICH,SEKT PHYS,D-80333 MUNICH,GERMANY
来源
PHYSICAL REVIEW B | 1997年 / 55卷 / 05期
关键词
D O I
10.1103/PhysRevB.55.2955
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We investigate antiferromagnetic spin ladders with nonmagnetic impurities by variational and numerical [Lanczos and density matrix renormalization group (DMRG)] methods. The interaction between the two unpaired spins opposite to the impurities is described by an effective exchange interaction J(eff), the magnitude of which depends on the impurity distance. The magnitude of J(eff) is different for unpaired spins at the edges of an open ladder and in the bulk. This difference is related to the different distributions of the unpaired spin into the bulk of the ladder. The numerical results are interpreted using matrix product states. Using the DMRG we calculate the spectrum of low-lying energy levels for up to six impurities and find that these spectra can be reproduced assuming pair interactions with an accuracy of better than 10%. We discuss the filling of the ladder gap with impurity states and argue that in the thermodynamic limit the spin ladder with a finite concentration of impurities always shows a Curie susceptibility at low temperatures.
引用
收藏
页码:2955 / 2963
页数:9
相关论文
共 17 条