Magnetization plateaux in N-leg spin ladders

被引:213
作者
Cabra, DC
Honecker, A
Pujol, P
机构
[1] Natl Univ La Plata, Dept Fis, RA-1900 La Plata, Argentina
[2] Univ Nacl Lomas De Zamora, Fac Ingn, RA-1832 Lomas De Zamora, Argentina
[3] Scuola Int Super Studi Avanzati, I-34014 Trieste, Italy
关键词
D O I
10.1103/PhysRevB.58.6241
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this paper we continue and extend a systematic study of plateaux in magnetization curves of antiferromagnetic Heisenberg spin-1/2 ladders. We first review a bosonic field-theoretical formulation of a single XXZ chain in the presence of a magnetic field, which is then used for an Abelian bosonization analysis of N weakly coupled chains. Predictions for the universality classes of the phase transitions at the plateaux boundaries are obtained in addition to a quantization condition for the value of the magnetization on a plateau. These results are complemented by and checked against strong-coupling expansions. Finally, we analyze the strong-coupling effective Hamiltonian for an odd number N of cylindrically coupled chains numerically. For N = 3 we explicitly observe a spin gap with a massive spinon-type fundamental excitation and obtain indications that this gap probably survives the limit N-->infinity.
引用
收藏
页码:6241 / 6257
页数:17
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