CALCULATION OF THE SINGLET-TRIPLET GAP OF THE ANTIFERROMAGNETIC HEISENBERG-MODEL ON A LADDER

被引:59
作者
AZZOUZ, M [1 ]
CHEN, L [1 ]
MOUKOURI, S [1 ]
机构
[1] UNIV SHERBROOKE,DEPT PHYS,SHERBROOKE J1K 2R1,QUEBEC,CANADA
来源
PHYSICAL REVIEW B | 1994年 / 50卷 / 09期
关键词
D O I
10.1103/PhysRevB.50.6233
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The ground-state energy and the singlet-triplet energy pp of the antiferromagnetic Heisenberg model on a ladder is investigated using a mean-field theory and the density-matrix renormalization group. Spin-wave theory shows that the corrections to the local magnetization are infinite. This indicates that no long-range order occurs in this system. A flux-phase state is used to calculate the energy pp as a function of the transverse coupling, J(perpendicular-to), in the ladder. It is found that the gap is linear in J(perpendicular-to) for J(perpendicular-to) much greater than 1 and goes to zero for J(perpendicular-to) --> 0. The mean-field theory agrees well with the numerical results.
引用
收藏
页码:6233 / 6237
页数:5
相关论文
共 14 条
[1]   LARGE-N LIMIT OF THE HEISENBERG-HUBBARD MODEL - IMPLICATIONS FOR HIGH-TC SUPERCONDUCTORS [J].
AFFLECK, I ;
MARSTON, JB .
PHYSICAL REVIEW B, 1988, 37 (07) :3774-3777
[2]   INTERCHAIN-COUPLING EFFECT ON THE ONE-DIMENSIONAL SPIN-1/2 ANTIFERROMAGNETIC HEISENBERG-MODEL [J].
AZZOUZ, M .
PHYSICAL REVIEW B, 1993, 48 (09) :6136-6140
[3]  
Azzouz M., UNPUB
[4]   EXCITATION SPECTRUM OF HEISENBERG SPIN LADDERS [J].
BARNES, T ;
DAGOTTO, E ;
RIERA, J ;
SWANSON, ES .
PHYSICAL REVIEW B, 1993, 47 (06) :3196-3203
[5]   SUPERCONDUCTIVITY IN LADDERS AND COUPLED PLANES [J].
DAGOTTO, E ;
RIERA, J ;
SCALAPINO, D .
PHYSICAL REVIEW B, 1992, 45 (10) :5744-5745
[6]  
Denoyelle S., SYNTHESIS SAR STUDY
[7]  
desCloizeaux J., 1962, PHYS REV, V128, P2131, DOI DOI 10.1103/PHYSREV.128.2131
[8]   KONDO LATTICE AND WEAK ANTIFERROMAGNETISM [J].
DONIACH, S .
PHYSICA B & C, 1977, 91 (JUL) :231-234
[10]  
HALDANE FDM, 1983, PHYS LETT A, V93, P463