Opening of the Haldane gap in anisotropic two- And four-leg spin ladders

Kim, EH and Sólyom, Jenő (1999) Opening of the Haldane gap in anisotropic two- And four-leg spin ladders. PHYSICAL REVIEW B, 60 (22). pp. 15230-15244. ISSN 2469-9950

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Abstract

We study the opening of the Haldane gap in two-leg and four-leg anisotropic spin ladders using bosonization and renormalization group methods, and we determine the phase diagram as a function of the interchain coupling and relative anisotropy, J z /Jxy. It is found that the opening of the Haldane gap is qualitatively different for the two cases considered. For the two-leg ladder the Haldane gap opens for arbitrarily small interchain coupling, independent of J z /Jxy, and the Haldane phase exists in a large region of parameter space. For the four-leg ladder the opening of the Haldane gap is strongly dependent on both the interchain coupling as well as J z /Jxy, and the Haldane phase exists only in a narrow region about the isotropic antiferromagnet.

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