Field-Induced gap due to four-spin exchange in a spin ladder

Details Field-Induced gap due to four-spin exchange in a spin ladder Field-Induced gap due to four-spin exchange in a spin ladder

2001-06-28

arxiv.org/abs/cond-mat/0106584v1

J. Phys.: Condens. Matter, Vol.13 (2001) No.33, pp.7421-7428.

Physics

Condensed Matter

Strongly Correlated Electrons

10 pages, 3 eps figures (embedded), to be published in J. Phys.: Cond. Matter

Scientific paper

10.1088/0953-8984/13/33/321

The effect of the four-spin cyclic exchange interaction at each plaquette in the $S=1/2$ two-leg spin ladder is investigated at T=0, especially focusing on the field-induced gap. The strong rung coupling approximation suggests that it yields a plateau at half of the saturation moment ($m=1/2$) in the magnetization curve, which corresponds to a field-induced spin gap with a spontaneous breaking of the translational symmetry. A precise phase diagram at $m=1/2$ is also presented based on the level spectroscopy analysis of the numerical data obtained by Lanczos method. The boundary between the gapless and plateau phases is confirmed to be of the Kosterlitz-Thouless (KT) universality class.

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